Full opinion text
JON O. NEWMAN, Circuit Judge: This case, brought by the United States pursuant to Title VII of the Civil Rights Act of 1964, 42 U.S.C. § 2000e et seq., concerns allegations of racial discrimination in the hiring of New York City firefighters. The principal issues are whether summary judgment was properly entered against the City on a claim of intentional discrimination, whether claims against the City’s Mayor and former Fire Commissioner were properly dismissed, whether an injunction, based both on the finding of intentional discrimination and an unchallenged finding of disparate impact arising from entry-level exams, is too broad, and whether, in the event of a remand, the case, or some portion of it, should be reassigned to another district judge. These issues arise on an appeal from the December 8, 2011, order and a cross-appeal from February 21, 2012, partial final judgment of the United States District Court for the Eastern District of New York (Nicholas G. Garaufis, District Judge) in a suit brought by the United States against the City of New York. The Vulcan Society, Inc. (“the Vulcans” or “the Inte'rvenors”), an organization of black firefighters, intervened, along with several named firefighters. The Intervenors’ complaint added as defendants the Fire Department of the City of New York (“FDNY”), the New York City Department of Citywide Administrative Services (“DCAS”), and Mayor Michael Bloomberg and then-New York Fire Commissioner Nicholas Scoppetta in their individual and official capacities. The City appeals from the December 8, 2011, order issuing a far-reaching permanent injunction against the City. The City contends that this appeal brings up for review the January 13, 2010, order granting summary judgment against the City on the Intervenors’ disparate treatment claim, which alleged intentional discrimination. The Intervenors cross-appeal from the February 1, 2012, partial final judgment, entered pursuant to Rule 54(b) of the Federal Rules of Civil Procedure, dismissing the Intervenors’ claims against Defendants Mayor Bloomberg and Fire Commissioner Scoppetta on grounds of immunity. We conclude that (1) summary judgment was improperly entered on the Intervenors’ disparate treatment claim, (2) the federal and state law claims against Mayor Bloomberg were properly dismissed, as were the state law claims against Commissioner Scoppetta, but the federal law claims against Commissioner Scoppetta should be reinstated, (3) most portions of the injunction based on the unchallenged disparate impact finding were within the District Court’s remedial discretion, but other portions, particularly those portions based on the improper discriminatory treatment ruling, exceeded that discretion, and (4) on remand, the bench trial on the liability phase of the disparate treatment claim against the City should be reassigned to a different district judge. We therefore, affirm in part, vacate in part, and remand. Background The extensive factual and procedural background of this litigation is set forth in detail in United States v. City of New York, 637 F.Supp.2d 77 (E.D.N.Y.2009) (“Disparate Impact Op.”). Discrimination history. New York City has a substantial black and Hispanic population. According to the Department of City Planning, in 2002, blacks were 25 percent and Hispanics were 27 percent of the population. At that time, the percentage of firefighters who were black was 2.6 and the percentage who were Hispanic was 3.7. The low percentage of minority personnel in the FDNY has persisted for some time. From 1963 to 1971 only 4 percent of all FDNY employees were black. When the pending litigation commenced in 2007, the percentages of black and Hispanic firefighters had increased to only 3.4 percent and 6.7 percent, respectively. The black firefighter percentage for New York City has been significantly below those for other cities with substantial black population. In 1999, for example, when the black firefighter percentage for New York City was 2.9 percent, the percentages were 14 percent in Los Angeles, 17.1 percent in Houston, 20.4 percent in Chicago, and 26.3 percent in Philadelphia. The City’s black percentage of firefighters has also been significantly below the percentages for other uniformed services in New York City. As of 2000, the percentage of blacks in the FDNY was 3.8 percent; the percentages in the Police Department, the Sanitation Department, and the Corrections Department were 16.6, 24.3, and 61.4, respectively. In 1973, the written examination for entry-level New York City firefighters was held to have a discriminatory impact on minority applicants. See Vulcan Society of New York City Fire Dep’t, Inc. v. Civil Service Commission, 360 F.Supp. 1265, 1277 (S.D.N.Y.), aff'd in relevant part, 490 F.2d 387 (2d Cir.1973). Entry-level exams used for firefighters in 1988 and 1992 had a disparate impact on blacks, although use of these exams was not challenged in court. Pending litigation—disparate impact claims. In August 2002, the Vulcans filed an unlawful discrimination complaint with the federal Equal Employment Opportunity Commission (“EEOC”)- The EEOC subsequently referred the complaint to the Department of Justice. In May 2007, the United States (“the Government”) sued the City under Title VII, challenging two separate FDNY employment procedures for screening and selecting entry-level firefighters alleged to have an unjustified disparate impact on black and Hispanic applicants. Specifically, the Government challenged the use of two written examinations, No. 7029, administered in 1998, and No. 2043, administered in 2002 (the “Exams”), that initially screened applicants on a pass/fail basis. The Government also challenged the rank-order processing of applicants, i.e., establishing a passing score to reflect FDNY needs for new recruits and listing, in order of test scores, all applicants above that score. Candidates who passed the written FDNY Exams and a physical performance test were place on a rank-order eligibility list that was based, in part, on the written examination score. The FDNY administered the Exams to more that 34,000 firefighter applicants and hired more than 5,300. Of the 3,100 blacks and 4,200 Hispanics who took the Exams, the FDNY hired 461 blacks and 184 Hispanics. For Exam No. 7029, the pass rate for whites was 89.9 percent and for blacks 60.3 percent. For Exam No. 2043, the pass rate for whites was 97.2 percent and or blacks 85.4 percent. The Government’s complaint alleged that the Exams were neither job-related nor consistent with business necessity, and sought to enjoin the challenged procedures and to require that the City take “appropriate action to correct the present effects of its discriminatory policies and practices.” On September 5, 2007, the District Court permitted the Vulcans and several named individuals to intervene. The Intervenors’ complaint added as defendants the DCAS, the FDNY, Mayor Bloomberg, and then-Fire Commissioner Scoppetta. After the District Court bifurcated the ease into separate liability and relief phases, the Government and the Intervenors moved for partial summary judgment on the disparate impact claim. Thereafter, the Court, pursuant to Rule 23(b)(2) of the Federal Rules of Civil Procedure, certified a class consisting of black applicants for the position of entry level firefighters. On July 22, 2009, the District Court granted the Government’s and the Intervenors’ motion for summary judgment on the disparate impact claim. See Disparate Impact Op., 637 F.Supp.2d at 132. The Court ruled that the Exams and the rank-ordering of results disproportionately impacted black and Hispanic applicants, and that the City had not satisfied its burden of demonstrating that the employment procedures were “job-related” or “consistent with business necessity.” Id. at 84-132. The Court’s finding of disparate impact was based on undisputed statistical evidence showing that black and Hispanic applicants disproportionately failed the Exams and on a meticulous application of this Court’s decision in Guardians Ass’n of the New York City Police Dep’t. Inc. v. Civil Service Commission, 630 F.2d 79 (2d Cir.1980) (“NYC Guardians ”), outlining the standards for assessing the job-relatedness of an employment exam. See Disparate Impact Op., 637 F.Supp.2d at 87-95. Thereafter, the City began using Exam 6019, which the District Court permitted to be used on an interim basis, despite its disparate impact. See United States v. City of New York, 681 F.Supp.2d 274, 294-95, 300-02 (E.D.N.Y.2010). The Court afforded the City an opportunity to have Exam 6019 validated, see id., 681 F.Supp.2d at 300, and subsequently found, after a hearing in July 2010, that the exam was invalid, see United States v. City of New York, No. 07-cv-2067, 2010 WL 4137536, at *5 (E.D.N.Y. Oct. 19, 2010). On this appeal, the City does not challenge the grant of summary judgment against the City on the disparate impact claim, nor, as far as we can determine, the District Court’s ruling on the invalidity of Exam 6019. Pending litigation—disparate treatment claim. In addition to reasserting the disparate impact claim from the Government’s complaint, the Intervenors’ complaint added a discriminatory treatment claim, alleging that the Defendants’ use of the challenged employment procedures constituted intentional discrimination against black applicants. That claim raises one of the central issues on this appeal. On July 25, 2008, the District Court denied the Intervenors’ motion to augment their discriminatory treatment claim by amending their complaint to challenge “additional discriminatory screening and selection devices” used from 1999 to the present. The Court noted that, at the time that the Intervenors had sought to intervene, they had represented that they were “taking pleadings as they find them,” and were simply seeking to add the disparate treatment claim. On Sept. 18, 2009, the City moved to dismiss the Intervenors’ claim of intentional discrimination, and, on October 320, 2009, the Intervenors filed a motion for partial summary judgment on the issue of discriminatory intent. The Government, which had not alleged discriminatory treatment in its complaint, did not join the Intervenors’ motion for summary judgment on the disparate treatment claim. On January 13, 2010, the District Court issued a comprehensive opinion granting the Intervenors’ motion for summary judgment on their disparate treatment claim. See United States v. City of New York, 683 F.Supp.2d 225, 255 (E.D.N.Y.2010) (“Disparate Treatment Op.”).We recount the details of that ruling in Part II, infra. In that opinion, the Court dismissed the Intervenors’ Title VII claims against Mayor Bloomberg and Commissioner Scoppetta because individuals are not subject to liability under Title VII, id. at 243-44, and dismissed the discriminatory treatment claim against them on the ground that they were entitled to qualified and official immunity, id. at 269-72. Pending litigation—relief. On September 10, 2009, after the Court’s July 22, 2009, Disparate Impact Opinion but before its January 13, 2010, Disparate Treatment Opinion, the Government submitted a proposed order requesting injunctive and monetary relief to implement the Disparate Impact Opinion. On January 21, 2010, eight days after the Disparate Treatment Opinion, the Court issued the first of four orders dealing with relief. The January 21 order primarily alerted the parties to monetary and compliance issues that the Court anticipated pursuing, but specifically required the City to develop a new testing procedure for entry-level firefighters. It left for future consideration the extent to which the City could continue to use Exam 6019, a test the City first administered in January 2007 and had used thereafter to generate its most recent firefighter eligibility list. The validity of that test had not previously been challenged or adjudicated. On May 26, 2010, the Court issued a second relief order. In that order, the Court stated that, in the absence of needed materials, it could not then determine the validity of Exam 6019 nor determine to what extent the FDNY could use the results of that exam for entry-level hiring of firefighters. In view of the complexity of pending relief issues, the Court appointed a Special Master to facilitate the Court’s assessment of Exam 6109 and to oversee the City’s development of a new exam. On October 19, 2010, the Court issued a third relief order. That order permanently enjoined the City from using Exam 6019, with a limited exception not relevant to the appeal. On December 9, 2010, the Intervenors moved for equitable and monetary relief based on the Court’s previous finding, on motion for summary judgment, of disparate treatment. Among other injunctive relief, they requested the appointment of monitor to oversee compliance, enhanced recruitment and advertising to target minority applicants, modification of the FDNY’s post-exam screening process, and prevention of retaliation and workplace discrimination against black firefighters. On February 28, 2011, the Government submitted a revised proposed relief order, requesting relief based on the Court’s disparate impact finding. In August 2011, the District Court held a bench trial to determine appropriate injunctive relief for the City’s intentional discrimination. The Government did not participate in that trial. On September 30, 2011, the Court issued detailed findings of fact, based on the evidence introduced at the bench trial, to support its subsequent grant of injunctive relief. The Court noted that its “assessment of the evidence” was “influenced” by the factual record established in earlier stages of the litigation, including the finding that Exams 7029 and 2043 had a disparate impact on black and Hispanic firefighter candidates, the finding of intentional discrimination, and the finding that Exam 6019 was invalid for lack of job validation. United States v. City of New York, No. 07-CV-2067, 2011 WL 7661518, at *1 n. 1 (E.D.N.Y. Sept. 30, 2011). Approximately one week later, the Court issued a draft remedial order and informed the parties that it intended to appoint a Court Monitor to oversee the City’s compliance with this order. The Court permitted the City and its Intervenors an opportunity to comment on the draft order. On December 8, 2011, the Court issued the injunction that is a principal subject of this appeal. See United States v. City of New York, No. 07-CV-2067, 2011 WL 6131136 (E.D.N.Y. Dec. 8, 2011) (“Injunction Op.”). The details of the terms of that injunction will be recounted in Part IV, infra, dealing with the City’s objections to several of those terms. On February 1, 2012, the District Court, pursuant to Rule 54(b) of the Federal Rules of Civil Procedure, certified for entry of partial summary judgment its ruling dismissing the claims against Mayor Bloomberg and Commissioner Scoppetta on grounds of qualified and official immunity. The City filed a timely appeal, and the Intervenors filed a timely cross-appeal, which have been consolidated. Motions for back-pay and damages remain pending in the District Court and are not the subject of this appeal. Discussion Before considering any of the issues on appeal, we note that the City has explicitly declined to challenge the District Court’s disparate impact ruling, the remedy requiring development of a new entry-level exam, or the appointment of a Special Master. The City’s appellate papers also present no challenge to the District Court’s third relief order substantially enjoining use of Exam 6019. What the City challenges on its appeal is the granting of summary judgment in favor of the Intervenors on their disparate treatment claim and all aspects of the injunction beyond those requiring development of a new entry-level exam. On the cross-appeal, the Intervenors challenge the District Court’s dismissal of their claims against Mayor Bloomberg and Commissioner Scoppetta on the ground of qualified immunity. I. Appellate Jurisdiction All parties acknowledge our jurisdiction to review the December 8, 2011, injunction, see 28 U.S.C. § 1292(a)(1), and the February 1, 2012, partial final judgment dismissing the claims against Mayor Bloomberg and Commissioner Scoppetta, see Fed. R.Civ.P. 54(b). The Intervenors challenge our jurisdiction to review the District Court’s January 13, 2012, ruling granting the Intervenors summary judgment on their disparate treatment claim. They point out that this ruling is not a final order and has not been incorporated into a final judgment. The City responds that we have jurisdiction over the disparate treatment ruling because it is “inextricably intertwined” with the injunction. Lamar Advertising of Penn, LLC v. Town of Orchard Park, 356 F.3d 365, 371 (2d Cir.2004) (internal quotation marks omitted); see also Swint v. Chambers County Commission, 514 U.S. 35, 51, 115 S.Ct. 1203, 131 L.Ed.2d 60 (1995). We agree with the City. First, the Intervenors themselves focused almost exclusively on the disparate treatment finding in their proposed order for injunctive relief, and, in summation during the bench trial on relief, emphasized that broad remedies were needed to counteract intentional discrimination. More significantly, the District Court explicitly acknowledged that its findings on which the injunction would later be based were “influenced” by its disparate treatment finding, and some of the more far-reaching provisions of that injunction appear to be grounded, at least partially if not entirely, on that finding. Sufficient “intertwining” exists between the injunction and the disparate treatment summary judgment ruling to support pendent appellate jurisdiction over the latter ruling. II. The Summary Judgment Ruling on the Intervenors’ Disparate Treatment Claim In considering the District Court’s grant of summary judgment to the Intervenors on their disparate treatment claim, which requires an intent to discriminate, we note at the outset that questions of subjective intent can rarely be decided by summary judgment. See Harlow v. Fitzgerald, 457 U.S. 800, 816, 102 S.Ct. 2727, 73 L.Ed.2d 396 (1982). The principal issue presented by the summary judgment ruling concerns the nature of a defendant’s obligation to respond to a prima facie case presented by a plaintiff class in a pattern-or-practice discriminatory treatment lawsuit. Initiation of a pattem-or-practice claim. Before considering that issue, we first consider how a pattern-or-practice claim arises. A pattern-or-practice claim under Title VII can be asserted either by the United States or by a class of plaintiffs, usually current or prospective employees against whom some adverse employment action has been taken because of an impermissible reason such as race. Section 707(a) of the Civil Rights Act of 1964, 42 U.S.C. § 2000e-6(a), authorizes the Attorney General to bring a civil action whenever that officer “has reasonable cause to believe that any person or group of persons is engaged in a pattern or practice of resistance to the full enjoyment of any of the rights secured by [subchapter VI of chapter 21], and that the pattern or practice is of such a nature and is intended to deny the full exercise of the .rights herein described ....” A group of plaintiffs, entitled to be certified as a class, may also initiate a pattern-or-practice suit. See Cooper v. Federal Reserve Bank of Richmond, 467 U.S. 867, 876 n. 9, 104 S.Ct. 2794, 81 L.Ed.2d 718 (1984) (“[T]he elements of a prima facie pattern-or-practice case are the same [as a Government-initiated suit under Section 707(a) ] in a private class action.”); Franks v. Bowman Transportation Co., 424 U.S. 747, 750-51, 96 S.Ct. 1251, 47 L.Ed.2d 444 (1976) (analyzing class action alleging pattern of discriminatory employment practices). Although the pending suit was brought by the United States, the Government did not allege a pattern or practice of discriminatory treatment. Its claim was solely that the City’s use of Exams 7029 and 2043 had a discriminatory impact on minority applicants for the position of entry-level firefighter. The Intervenors, once certified as a class, have asserted what amounts to claim of pattern-or-practice discriminatory treatment. Comparison of individual and pattern-or-practice claims. We next compare individual and pattern-or-practice claims. The principal difference between individual and pattern-or-practice discriminatory treatment claims is that, although both require an intent to discriminate, an individual claim requires an intent to discriminate against one person, see, e.g., McDonnell Douglas Corp. v. Green, 411 U.S. 792, 93 S.Ct. 1817, 36 L.Ed.2d 668 (1973), and a pattern-or-practice claim requires that “racial discrimination was the company’s standard operating procedure[,] the regular rather than the unusual practice,” International Brotherhood of Teamsters v. United States, 431 U.S. 324, 336, 97 S.Ct. 1843, 52 L.Ed.2d 396 (1977), and that the discrimination was directed at a class of victims, see, e.g., Franks, 424 U.S. at 772, 96 S.Ct. 1251. It should be noted that “[a] pattern or practice case is not a separate and free-standing cause of action ..., but is really merely another method by which disparate treatment can be shown.” Chin v. Port Authority of New York & New Jersey, 685 F.3d 135, 148-49 (2d Cir.2012) (quoting in a parenthetical Celestine v. Petroleos de Venezuella SA, 266 F.3d 343, 355 (5th Cir.2001)) (internal quotation marks omitted). Both types of suits involve a scheme of shifting burdens borne by the contending sides. In both, the plaintiff bears the initial burden of presenting a prima facie case. Both McDonnell Douglas, 411 U.S. at 807, 93 S.Ct. 1817, and Teamsters, 431 U.S. at 336, 97 S.Ct. 1843, refer to the plaintiffs initial burden as a burden to establish “a prima facie case,” meaning sufficient evidence to create a rebuttable presumption of the existence of the ultimate fact at issue: in McDonnell Douglas, the employer’s intent to discriminate against the plaintiff, and in Teamsters, the employer’s pervasive practice of intentional discrimination against the class. The Supreme Court has noted that in general “[t]he phrase ‘prima facie case’ not only may denote the establishment of a legally mandatory, rebuttable presumption, but also may be used by courts to describe the plaintiffs burden of producing enough evidence to permit the trier of fact to infer the fact at issue,” Texas Dep’t of Community Affairs v. Burdine, 450 U.S. 248, 254, 101 S.Ct. 1089, 67 L.Ed.2d 207 n.7 (1981), and has explicitly instructed “that in the Title VII context we use ‘prima facie case’ in the former sense,” id. In an individual case, the plaintiffs initial burden consists of the now familiar components of showing “(i) that he belongs to a racial minority; (ii) that he applied and was qualified for a job for which the employer was seeking applicants; (in) that, despite his qualifications, he was rejected; and (iv) that, after his rejection, the position remained open and the employer continued to seek applicants from persons of complainant’s qualifications.” McDonnell Douglas, 411 U.S. at 802, 93 S.Ct. 1817. This burden is “not onerous,” Burdine, 450 U.S. at 253, 101 S.Ct. 1089; indeed, it is “minimal,” St. Mary’s Honor Center v. Hicks, 509 U.S. 502, 506, 113 S.Ct. 2742, 125 L.Ed.2d 407 (1993), or “slight,” Wanamaker v. Columbian Rope Co., 108 F.3d 462, 465 (2d Cir.1997). In a pattern-or-practice case, the plaintiffs initial burden is heavier in one respect and lighter in another respect than the burden in an individual case. It is heavier in that the plaintiff must make a prima facie showing of a pervasive policy of intentional discrimination, see Teamsters, 431 U.S. at 336, 97 S.Ct. 1843, rather than a single instance of discriminatory treatment. It is lighter in that the plaintiff need not initially show discrimination against any particular present or prospective employee. See id. at 360, 97 S.Ct. 1843; Chin, 685 F.3d at 147. Although instances of discrimination against particular employees are relevant to show a policy of intentional discrimination, they are not required; a statistical showing of disparate impact might suffice. See Hazelwood School District v. United States, 433 U.S. 299, 307-08, 97 S.Ct. 2736, 53 L.Ed.2d 768 (1977) (“Where gross statistical disparities can be shown, they alone may in a proper case constitute prima facie proof of a pattern or practice of discrimination.”). With both types of cases, the plaintiffs initial burden is only to present a prima facie case that will support a rebuttable presumption of the ultimate fact in issue. Once the McDonnell Douglas plaintiff has established its prima facie case, the burden then shifts to the employer “to rebut the presumption of discrimination,” Burdine, 450 U.S. at 254, 101 S.Ct. 1089. The employer need only “ ‘articulate some legitimate, nondiscriminatory reason for the employee’s rejection.’ ” Id. at 253, 101 S.Ct. 1089 (emphasis added) (quoting McDonnell Douglas, 411 U.S. at 802, 93 S.Ct. 1817). In Teamsters, the Supreme Court said that the employer responding to a prima facie case in a pattern-or-practice suit has the burden to “defeat” that case, 431 U.S. at 360, 97 S.Ct. 1843. “[Djefeat” might be thought to imply something stronger that “rebut,” but the Court’s language indicates that the Court means the same thing in both contexts. In McDonnell Douglas, the Court said that the employer may discharge its rebuttal burden by “articulat[ing] some legitimate, nondiscriminatory reason for the employee’s rejection,” 411 U.S. at 802, 93 S.Ct. 1817, and in Teamsters, the Court similarly said that the employer may do so by “providing] a nondiscriminatory explanation for the apparently discriminatory result,” 431 U.S. at 360 n. 46, 97 S.Ct. 1843. Although the Court has explicitly called the employer’s burden in a McDonnell Douglas case a burden of “production,” Burdine, 450 U.S. at 255, 101 S.Ct. 1089, and has not used that word to describe the employer’s burden in a pattern-or-practice case, we think the rebuttal burden in both contexts is one of “production.” See Reynolds v. Barrett, 685 F.3d 193, 203 (2d Cir.2012) (noting that in pattern-or-practice case “the burden of production shifts to the employer”); Robinson v. Metro-North Commuter R.R., 267 F.3d 147, 159 (2d Cir.2001) (noting that in pattern-or-practice case “ ‘the burden [of production] then shifts to the employer’ ”) (quoting Teamsters, 431 U.S. at 360, 97 S.Ct. 1843) (brackets in Robinson), abrogated on other grounds by Wal-Mart Stores, Inc. v. Dukes, — U.S. -, 131 S.Ct. 2541, 180 L.Ed.2d 374 (2011). A central issue in the pending case is what showing an employer must make to satisfy its burden of production in a pattern-or-practice case. In Teamsters the Supreme Court stated that the employer’s burden was “to defeat the prima facie showing of a pattern or practice by demonstrating that the Government’s proof is either inaccurate or insignificant.” 431 U.S. at 360, 97 S.Ct. 1843 (emphasis added). The emphasized words raise a question as to whether the Supreme Court thought the employer’s rebuttal evidence must be directed at the statistics that often constitute the prima facie case of discrimination or simply at the rebuttable presumption of discrimination that arises from those statistics. We think the Court meant that the employer must produce any evidence that is relevant to rebutting the inference of discrimination. No plaintiff can limit the type of evidence that a defendant must produce to rebut a prima facie case by its selection of particular evidence to support that case. The Supreme Court explicitly recognized this obvious point in Teamsters when it stated that, although “[t]he employer’s defense must, of course, be designed to meet the prima facie case ...[,] [w]e do not mean to suggest that there are any particular limits on the type of evidence an employer may use.” 431 U.S. at 360 n. 46, 97 S.Ct. 1843. The Court offered an example of an employer whose pattern of post-Act hiring was a product pre-Act hiring, id. at 360, 97 S.Ct. 1843, an example of evidence that would rebut the inference of discriminatory intent arising from the plaintiffs statistics, but not dispute the statistics themselves. That showing would not demonstrate that the proof of the pattern was inaccurate or insignificant; it would demonstrate that the proof of the pattern was legally irrelevant. Of course, it is always open to a defendant to meet its burden of production by presenting a direct attack on the statistics relied upon to constitute a prima facie case. A defendant might endeavor to show that the plaintiffs statistics are inaccurate, for example, infected with arithmetic errors, or lacking in statistical significance, for example, based on too small a sample. But the rebuttal need not be so limited. A defendant may rebut the inference of a discriminatory intent by accepting a plaintiffs statistics and producing non-statistical evidence to show that it lacked such an intent. In Teamsters, the Supreme Court recognized this means of rebutting a prima facie case by stating that “the employer’s burden is to provide a nondiscriminatory explanation for the apparently discriminatory result.” 431 U.S. at 360 n. 46, 97 S.Ct. 1843. Again, such an explanation rebuts the inference from a plaintiffs statistics, even though it does not directly challenge the statistics themselves. Some confusion might have been created on this point by a passage in the late Professor Arthur Larson’s treatise on employment discrimination that this Court quoted in Robinson, 267 F.3d at 159. That passage begins by stating, “Three basic avenues of attack are open to the defendant challenging the plaintiff’s statistics, namely assault on the source, accuracy, or probative force.” 1 Arthur Larson et al, Employment Discrimination § 9.03[2], at 9-23 (2d ed.2001) (emphasis added). This sentence, read in isolation, might be thought to require an employer to challenge the plaintiffs statistics as such. But that interpretation is dispelled by Prof. Larson’s later recognition in the same passage, also quoted in Robinson, 267 F.3d at 159, that a defendant may use “other non-statistical evidence tending to rebut the inference of discrimination.” Larson, supra, § 9.03[2], at 9-24 (emphasis added). Indeed, the current version of Employment Discrimination, compiled by Prof. Larson’s son, has rewritten the sentence quoted in Robinson and, more significantly, includes a subsection making it clear that non-statistical evidence, including an employer’s affirmative action efforts, are “both relevant to and probative of absence óf intent to discriminate.” 1 Lex Larson, Employment Discrimination § 9.03[2][c], at 9-20.1 (2d ed.2011) (footnote omitted). We have recognized that non-statistical evidence, such as a defendant’s affirmative action program, is probative of the absence of an employer’s intent to discriminate. See Coser v. Moore, 739 F.2d 746, 751-52 (2d Cir.1984); see also EEOC v. Sears, Roebuck & Co., 839 F.2d 302, 314 (7th Cir.1988) (“[SJtatistical evidence is only one method of rebutting a statistical case.”). Although cases such as Coser and Sears, Roebuck were considering evidence available to negate discriminatory intent at trial, we see no reason why a defendant may not proffer such evidence to satisfy its burden of production in advance of trial on the merits. Teamsters sets a high bar for the prima facie case the Government or a class must present in a pattern-or-practice case: evidence supporting a rebuttable presumption that an employer acted with the deliberate purpose and intent of discrimination against an entire class. 431 U.S. at 358, 97 S.Ct. 1843. An employer facing that serious accusation must have a broad opportunity to present in rebuttal any relevant evidence that shows that it lacked such an intent. Continuing with a comparison of the shifting burdens in individual and pattern-or-practice cases, we note that a defendant’s burden of production “can involve no credibility assessment,” Hicks, 509 U.S. at 509, 113 S.Ct. 2742, and “necessarily precedes the credibility-assessment stage,” id. (emphasis in original). Nothing in Teamsters suggests that these aspects of the defendant’s production burden do not apply to pattern-or practice claims. Nor are there differences with respect to the remaining aspects of the burden-shifting scheme, at least at the liability stage of a trial. If the defendant fails to rebut the plaintiffs prima facie case, the presumption arising from an unrebutted prima facie case entitles the plaintiff to prevail on the issue of liability and proceed directly to the issue of appropriate relief. See id. On the other hand, if the defendant satisfies its burden of production, the presumption arising from the plaintiffs prima facie case “drops out,” see id., 509 U.S. at 510-11, 113 S.Ct. 2742, and the trier of fact must then determine, after a full trial, whether the plaintiff has sustained its burden of proving by a preponderance of the evidence the ultimate fact at issue. See United States Postal Service Board of Governors v. Aikens, 460 U.S. 711, 715, 103 S.Ct. 1478, 75 L.Ed.2d 403 (1983) (individual plaintiff must prove intent to discriminate); Teamsters, 431 U.S. at 336, 97 S.Ct. 1843 (Government in pattern-or-practice case must prove that intentional discrimination was the defendant’s “standard operating procedure.”). Of course, the evidence that originally supported the plaintiffs prima facie case remains available to contribute to the persuasive force of the plaintiffs proof on the ultimate issue. See Reeves v. Sanderson Plumbing Products, Inc., 530 U.S. 133, 143, 120 S.Ct. 2097, 147 L.Ed.2d 105 (2000); Burdine, 450 U.S. at 256 n. 10, 101 S.Ct. 1089. At the relief stage, however, a special rule applies in pattern-or-practice cases. Once the Government or a class has proven by a preponderance of the evidence a policy of intentional discrimination and seeks relief for individual victims of that policy, “[t]he proof of the pattern or practice supports an inference that any particular employment decision, during the period in which the discriminatory policy was in force, was made in pursuit of that policy.... [T]he burden then rests on the employers to demonstrate that the individual applicant was denied an employment opportunity for lawful reasons.” Teamsters, 431 U.S. at 362, 97 S.Ct. 1843 (citing Franks, 424 U.S. at 773 n. 32, 96 S.Ct. 1251). In Wal-Mart Stores, 131 S.Ct. at 2552 n. 7, the inference was explicitly called “a rebuttable inference.” The Intervenors’ prima facie case. The statistical disparities supporting the unchallenged finding that the Exams has a racially disparate impact also served to establish a prima facie case on the Intervenors’ claim of a pervasive pattern of discriminatory treatment, especially in light of the long-standing pattern of low minority participation in the FDNY. See Hazelwood School District, 433 U.S. at 307-08, 97 S.Ct. 2736 (“Where gross statistical disparities can be shown, they alone may in a proper case constitute prima facie proof of a pattern or practice of discrimination.”). The City does not dispute that the Intervenors presented a prima facie case of discriminatory treatment. The City’s rebuttal. The City produced evidence attempting to rebut the inference that it had acted with a discriminatory intent. It articulated a nondiscriminatory reason for using the challenged exams— the fact that they were facially neutral. The City also relied on its contention that the exams had been prepared in an attempt to comply with “acceptable test development methods.” Defendants’ Statement of Disputed Material Facts ¶ 1. In support of this contention, the City proffered detailed declarations of Matthew Morrongiello, a Tests and Measurement Specialist in the City’s DCAS who analyzed Exam 7029, and Alberto Johnson, a DCAS employee who was primarily responsible for preparing Exam 2043. See Disparate Impact Op., 637 F.Supp.2d at 100. Their affidavits detailed the efforts that they made to develop job-related exams. The City also pointed to its efforts to increase minority hiring through targeted recruitment. The District Court’s rejection of the City’s rebuttal. The District Court’s grant of summary judgment to the Intervenors on their pattern-or-practice discriminatory treatment claim might be thought to mean either of two things. On the one hand, the Court might have concluded that the City had failed to satisfy its burden of production. On the other hand, the Court might have concluded that, on the available record, no reasonable fact-finder at trial could fail to find that the City maintained a pervasive policy of intentional discriminatory treatment. The Intervenors argued their motion on the latter theory. One section of their memorandum of law in support of their motion is captioned “THERE IS NO GENUINE ISSUE OF FACT AS TO THE CITY OF NEW YORK’S DISPARATE TREATMENT OF PLAINTIFFS-INTERVENORS UNDER TITLE VII, AND PLAINTIFFS-INTERVENORS ARE ENTITLED TO JUDGMENT AS A MATTER OF LAW.” Memorandum of Law in Support of Motion for Summary Judgment and in Opposition to Individual Defendants’ Motion for Qualified Immunity at 8. That memorandum does not contend that the City failed only to satisfy its burden of production. We think it is clear that the District Court granted summary judgment for the Intervenors because it believed the City had not satisfied its burden of production. The Court stated, “If the employer fails to respond to plaintiffs’ prima facie case, or if it fails to carry its burden to dispel the prima facie case, then the court ‘must find the existence of the presumed fact of unlawful discrimination and must, therefore, render a verdict for the plaintiff.’ ” Disparate Treatment Op., 683 F.Supp.2d at 252 (quoting Hicks, 509 U.S. at 509-10 n. 3, 113 S.Ct. 2742 (emphases in Hicks)). The Court then added: What is important to note is that in either case, although the ultimate question as to the employer’s state of mind is technically left unresolved—since the fact-finder has not found by a preponderance of the evidence that the employer acted with discriminatory purpose— the employer’s failure to discharge the obligations imposed on it by the burden-shifting framework mandates a finding of unlawful discrimination. Id. at 253 (citing Hicks, 509 U.S. at 506, 113 S.Ct. 2742). The District Court deemed the City’s rebuttal deficient for four somewhat related reasons. First, the Court thought that the City’s burden of production required it specifically to challenge the Intervenors’ statistics and faulted the City because it did “not attempt to meet or undermine the Intervenors’ statistical evidence.” Disparate Treatment Op., 683 F.Supp.2d at 253. “This failure alone,” the Court stated, was a sufficient reason to grant summary judgment to the Intervenors. See id. As we have explained above, this was too narrow a view of how a defendant may rebut a prima facie case. On the Intervenors’ motion for summary judgment, the issue for the District Court was not whether the City had produced evidence sufficiently attacking the Intervenors’ statistics. Instead, the issue was whether the City’s rebuttal was sufficient to satisfy its burden of producing evidence to challenge the inference of intentional discrimination arising from the Intervenors’ prima facie case. Second, the District Court rejected the evidence the City produced to satisfy its burden of production as “either incredible or inapposite.” Disparate Treatment Op., 683 F.Supp.2d at 266. The Court’s assessment of credibility (an assessment of information supplied in affidavits) was inappropriate. Determining whether a defendant has satisfied its burden of production “can involve no credibility assessment.” Hicks, 509 U.S. at 509, 113 S.Ct. 2742. Furthermore, “[t]he defendant need not persuade the court that it was actually motivated by the proffered reasons.” Burdine, 450 U.S. at 254, 101 S.Ct. 1089. Nor was the City’s rebuttal evidence “inapposite.” All of it was properly presented in an attempt to show that the City lacked a discriminatory intent. Although the Exams produced a racially disparate impact and were determined by the District Court not to be sufficiently job-related to justify their use, see Disparate Impact Op., 637 F.Supp.2d at 110-32, the City was entitled to produce whatever evidence it had to rebut the prima facie case of discriminatory treatment. That evidence properly included a showing that the Exams were facially neutral, see Raytheon Co. v. Hernandez, 540 U.S. 44, 51-52, 124 S.Ct. 513, 157 L.Ed.2d 357 (2003) (Under “the disparate-treatment framework ... a neutral ... policy is, by definition, a legitimate, nondiscriminatory reason.”), the efforts (albeit unsuccessful) to prepare job-related exams, see NYC Guardians, 630 F.2d at 112 (noting employer’s “extensive efforts to ... develop a test they hoped would have the requisite validity”), and the efforts at minority recruitment, see Washington v. Davis, 426 U.S. 229, 246, 96 S.Ct. 2040, 48 L.Ed.2d 597 (1976) (“[A]ffirmative efforts [of municipal employer] to recruit black officers ... negated any inference that [employer] discriminated ....”). The District Court also appeared to consider the City’s evidence inapposite because, in the Court’s opinion, the City was not entitled to “construct a competing account of its behavior.” Disparate Treatment Op., 683 F.Supp.2d at 253. This view of the City’s rebuttal burden runs directly counter to the Supreme Court’s statement in Teamsters that “the employer’s burden is to provide a nondiscriminatory explanation for the apparently discriminatory result.” 431 U.S. at 360 n. 46, 97 S.Ct. 1843. Third, the District Court viewed the City’s opposition to the Intervenor’s summary judgment motion as an improper effort to dispute the issue of discriminatory intent that the Court said would arise “at 15 the end of any Title VII disparate-treatment inquiry.” Disparate Treatment Op., 683 F.Supp.2d at 252 (emphasis in original). This was improper, the Court thought, because “if defendants were allowed to sustain or circumvent their burden of production by invoking the ultimate issue of intent, the burden-shifting structure would become a nullity.” Id. at 253. We disagree. A defendant seeking to “defeat,” Teamsters, 431 U.S. at 360, 97 S.Ct. 1843, a prima facie case of intentional discrimination at the rebuttal stage has every right to produce evidence to show that it did not have such an intent. Although a conclusory denial will not suffice, evidence that tends to support a denial is always permissible. When the Supreme Court said in Teamsters that the employer may satisfy its burden of production by “providing] a nondiscriminatory explanation for the apparently discriminatory result,” 431 U.S. at 360 n. 46, 97 S.Ct. 1843, it was offering an example of evidence that was not disqualified as a rebuttal just because such evidence was also relevant to the ultimate issue of discriminatory intent. Producing at the rebuttal stage some evidence bearing on the ultimate issue of discriminatory intent does not render the burden-shifting structure a nullity. That structure serves the useful purpose of obliging the employer to identify a nondiscriminatory reason for its challenged action. If the employer fails to do so or otherwise fails to produce evidence that meets the inference arising from the plaintiffs prima facie case, the employer loses. See Hicks, 509 U.S. at 509, 113 S.Ct. 2742. On the other hand, producing evidence that meets the prima facie case moves a pattern-or-practiee claim on to trial on the merits, at which time the plaintiff has to prove by a preponderance of evidence that the real reason for the challenged action was an intent to discriminate. The burden-shifting scheme has not been impaired just because the employer’s rebuttal not only meets the prima facie case but is also relevant to the ultimate issue at trial. Nothing in Teamsters obliges an employer to withhold its evidence negating a discriminatory intent until that trial occurs. Fourth, the District Court faulted the City for “attempt[ing] to circumvent its burden of production entirely by arguing that the Intervenors have not proved that the City harbored a subjective intent to discriminate against black applicants.” Disparate Treatment Op., 683 F.Supp.2d at 251. The Court understood the City to be faulting the Intervenors for “failure to produce direct evidence of the relevant decisionmakers’ culpable mental state.” Id. (emphasis added). That was not what the City said. In its memorandum opposing the Intervenors’ motion for summary judgment on the discriminatory treatment claim, the City stated, “Plaintiffs-Intervenors have not, either directly or by inference, provided facts which would prove an intent to discriminate.” Defendants’ Memorandum of Law in Opposition to Plaintiffs-Intervenors’ Motion for Summary Judgment at 2 (emphasis added). Correctly understanding that a prima facie case requires facts giving rise to an inference of intentional discriminatory treatment, the City was entitled to contend in rebuttal that the Intervenors had failed to present such facts, even though the District Court had found that their prima facie case was sufficient. At trial on the ultimate issue of whether there was a policy of discriminatory intent, the fact-finder will consider, among other things, whether, as the Intervenors contend, the lack of job-relatedness of the Exams should have been apparent to the City and whether the City’s use of the Exams, once their racially disparate impact was known, proves, in light of the history of low minority hiring, that the City used the Exams with the intent to discriminate. Prior to that trial, the City provided a sufficient rebuttal to the Intervenors’ prima facie case, and the granting of the Intervenors’ motion for summary judgment was error. III. Dismissal of Claims Against Mayor Bloomberg and Commissioner Scoppetta The District Court dismissed the Intervenors’ Title VII claim against Mayor Bloomberg and former Commissioner Scoppetta for failure to state a claim on which relief could be granted, see Fed. R.Civ.P. 12(b)(6); dismissed the Section 1981 and Section 1983 claims against these officials on the ground of qualified immunity; and dismissed the state law claims against these officials on the ground of official immunity. See Disparate Treatment Op., 683 F.Supp.2d at 243-45, 269-72. On their cross-appeal, the Intervenors challenge the immunity rulings, but not the Rule 12(b)(6) ruling, which was plainly correct, see Patterson v. County of Oneida, 375 F.3d 206, 221 (2d Cir.2004) (individuals, as distinguished from employing entitles, not liable under Title VII). Qualified immunity for federal law claims. The standards for qualified immunity are well settled. See Anderson v. Creighton, 483 U.S. 635, 640, 107 S.Ct. 3034, 97 L.Ed.2d 523 (1987); Mitchell v. Forsyth, 472 U.S. 511, 530-36, 105 S.Ct. 2806, 86 L.Ed.2d 411 (1985); Harlow, 457 U.S. at 818, 102 S.Ct. 2727. The District Court began its immunity analysis by observing that “to hold a supervisory official liable for violating § 1981 or the Equal Protection Clause, a plaintiff must ‘prove that the defendant acted with discriminatory purpose.’ ” Disparate Treatment Op., 683 F.Supp.2d at 270 (quoting Ashcroft v. Iqbal, 556 U.S. 662, 676, 129 S.Ct. 1937, 173 L.Ed.2d 868 (2009)). The Intervenors’ theory of liability of the Mayor and the Commissioner was that, although neither had responsibility for preparation of the Exams, they both condoned their use, with awareness of their disparate impact, and did so despite warnings from the City’s Equal Employment Practices Commission to take corrective action. With respect to this theory, the District Court stated, “The Intervenors have submitted copious evidence from which a reasonable fact-finder could infer that the Mayor and Commissioner harbored an intent to discriminate against black applicants....” Id. Nevertheless, the Court upheld the officials’ qualified immunity defense because “it would not have been clear to them from the governing legal precedent that such conduct violated § 1981 or the Equal Protection Clause.” Id. The Court did not mean that a public official would not have known that the official would violate Section 1981 or the Equal Protection Clause by intentionally taking adverse employment action on the basis of race. That obvious proposition has been clear at least since 1976, see Washington, 426 U.S. at 239-41, 96 S.Ct. 2040. What would not be clear to the officials, the District Court stated, was that the “Title VII burden-shifting analysis” would apply “to determine whether an individual, as opposed to a governmental employer, is liable for discrimination under either § 1981 or the Equal Protection Clause.” Disparate Treatment Op., 683 F.Supp.2d at 270 (emphasis in original). In grounding qualified immunity on this rationale the District Court erred. The knowledge of a standard governing the conduct of public officials, required to defeat a claim of qualified immunity, is knowledge of primary conduct— action of an official that would violate constitutional limitations. It has nothing to do with secondary conduct of litigation of a claim of constitutional violation. Cf. Republic of Austria v. Altmann, 541 U.S. 677, 722, 124 S.Ct. 2240, 159 L.Ed.2d 1 (2004) (Kennedy, J., with whom Rehnquist, C.J., and Thomas, J., join, dissenting) (distinguishing, for purposes of retroactivity, between statutes that “ ‘regulate the secondary conduct of litigation and not the underlying primary conduct of the parties’ ”) (quoting Hughes Aircraft Co. v. United States ex rel. Schumer, 520 U.S. 939, 951, 117 S.Ct. 1871, 138 L.Ed.2d 135 (1997)). If a public official intentionally acts to the detriment of current or prospective public employees on the basis of race, the official is not shielded by qualified immunity simply because the official might have been unaware that at trial a burden-shifting scheme would regulate the conduct of ensuing litigation. “For a constitutional right to be clearly established, its contours must be sufficiently clear that a reasonable official would understand that what he is doing violates that right.” Hope v. Pelzer, 536 U.S. 730, 739,122 S.Ct. 2508, 153 L.Ed.2d 666 (2002) (emphases added) (internal quotation marks omitted). Having rejected the District Court’s stated reason for dismissing the federal claims on the ground of qualified immunity, we next consider whether the record supports dismissal of these claims on the ground that the Intervenors have not shown a violation of a federal right. The District Court did not reach that component of qualified immunity, see Siegert v. Gilley, 500 U.S. 226, 232, 111 S.Ct. 1789, 114 L.Ed.2d 277 (1991), accepting instead the opportunity created by Pearson v. Callahan, 555 U.S. 223, 236,129 S.Ct. 808, 172 L.Ed.2d 565 (2009), to decide first whether the right alleged to have been violated was clearly established. See Disparate Treatment Op., 683 F.Supp.2d at 270 n.32. In considering whether the record would have permitted dismissal on the ground that the officials had not violated a federal right, we encounter two conflicting statements in the District Court’s opinion. On the one hand, the Court referred to “copious evidence” from which a reasonable fact-finder could infer that the officials “harbored” an intent to discriminate against black applicants. See Disparate Treatment Op., 683 F.Supp.2d at 270. On the other hand, the Court stated that there was “no evidence that directly and unmistakably proves that fact.” Id. We question both observations. As to the second one, there is no requirement that an intent to discriminate must be proved “directly and unmistakably.” Like any element in a civil case, the element of discriminatory intent need be proven only by a preponderance of the evidence. See Teamsters, 431 U.S. at 336, 97 S.Ct. 1843. And intent, like any state of mind, may be proved by circumstances reasonably supporting an inference of the requisite intent. See, e.g., Blue v. Koren, 72 F.3d 1075, 1084 (2d Cir.1995) (requiring “particularized evidence of direct or circumstantial facts” bearing on improper motive in order to resist defendant’s motion for summary judgment). At the same time, we cannot agree with the District Court that the record revealed “copious evidence” of the officials’ intent to discriminate. As the Supreme Court has recently observed, “[P]urposeful discrimination requires more than intent as volition or intent as awareness of consequences. It instead involves a decisionmaker’s undertaking a course of action because of, not merely in spite of, [the action’s] adverse effects upon an identifiable group.” Iqbal, 556 U.S. at 676-77, 129 S.Ct. 1937 (internal quotation marks and citation omitted; brackets in original); see Personnel Administrator v. Feeney, 442 U.S. 256, 279, 99 S.Ct. 2282, 60 L.Ed.2d 870 (1979) (noting that “discriminatory purpose” implies not just that the decisionmaker possessed “intent as awareness of consequences” but that he “selected or reaffirmed a particular course of action at least in part because of, not merely in spite of, its adverse effects upon an identifiable group”) (internal quotation marks omitted). The record contains ample evidence of the officials’ awareness of the disparate impact of the Exams, and they do not dispute such awareness. Whether it contains sufficient evidence that they undertook a course of action because of that impact requires further consideration. Most of the evidence cited by the Intervenors to satisfy their burden of resisting the officials’ motion for summary judgment concerns steps the officials did not take, rather than a “course of action” they undertook. For example, the Intervenors point to the failure to have the Exams validated prior to their continued use and their failure to move promptly to develop a new valid exam. Although we do not doubt that the failure of senior officials to act can support an inference of discriminatory intent in some circumstances, particularly where they are in a position to avoid likely unconstitutional consequences, see, e.g., United States ex rel. Larkins v. Oswald, 510 F.2d 583, 589 (2d Cir.1975) (Corrections Commissioner liable for unwarranted solitary confinement of inmate), we do not believe that the cited omissions of the Mayor or the Commissioner suffice to support a reasonable inference that they declined to act because they wanted to discriminate against black applicants. The principal evidence of a course of action arguably undertaken for the purpose of discrimination is the decision to continue using the results of the Exams with awareness of their disparate impact. Although we disagree with the District Court that there was “copious evidence” of the officials’ intent to discriminate, we cannot say that a reasonable fact-finder might not infer, from all the evidence, that, with respect to the Commissioner heading the FDNY, his involvement in the decision to continue using the results of the Exams indicated an intent to discriminate. Were the decision ours to make, we would not draw such an inference, but our task is the more limited one of determining whether such an inference could reasonably be made by the fact-finder. With respect to the Mayor, however, we think the record does not suffice to permit a fact-finder to draw a reasonable inference of intent to discriminate. In light of the myriad duties imposed upon the chief executive officer of a city of eight million people, more evidence would be needed to permit a fact-finder to find that the decision of one municipal department to continue using the results of the Exams supports an inference of discriminatory intent on the part of the Mayor. Official Immunity for state law claims. The common-law doctrine of official immunity shields public employees “from liability for discretionary actions taken during the performance of governmental functions” and “is intended to ensure that public servants are free to exercise their decision-making authority without interference from the courts.” Valdez v. City of New York, 18 N.Y.3d 69, 75-76, 936 N.Y.S.2d 587, 960 N.E.2d 356 (2011) (municipal immunity). Here, as explained by the District Court, Disparate Treatment Op., 683 F.Supp.2d at 270-72, the decision of two of the City’s highest-ranking officials to continue hiring firefighters from eligibility lists based on the Exams involved discretionary decisionmaking. We therefore affirm the District Court’s decision to dismiss federal and state law claim against Mayor Bloomberg on the grounds of qualified and official immunity, affirm the decision to dismiss state law claims against Commissioner Scoppetta on the ground of official immunity, but vacate the decision to dismiss federal law claims against Commissioner Scoppetta on the grounds of qualified immunity. IV. Scope of the Injunction “[T]he scope of a district court’s remedial powers under Title VII is determined by the purposes of the Act.” Teamsters, 431 U.S. at 364, 97 S.Ct. 1843. Congress enacted Title VII to achieve equal employment opportunities and “to eliminate those discretionary practices and devices which have fostered racially stratified job environments to the disadvantage of minority citizens.” McDonnell Douglas, 411 U.S. at 800, 93 S.Ct. 1817. “Congress deliberately gave the district courts broad authority under Title VII to fashion the most complete relief possible.” Local 28 Sheet Metal Workers’ International Ass’n v. EEOC, 478 U.S. 421, 465,106 S.Ct. 3019, 92 L.Ed.2d 344 (1986). Once liability for racial discrimination has been established, a district court has the duty to render a decree that will eliminate the discretionary effects of past discrimination and prevent like discrimination in the future. See Albemarle Paper Co., 422 U.S. at 418, 95 S.Ct. 2362; Bridgeport Guardians, Inc. v. City of Bridgeport, 933 F.2d 1140, 1149 (2d Cir.1991). Although a court’s power to fashion appropriate relief is not unlimited, see Bridgeport Guardians, 933 F.2d at 1149, we have held that, when it appear “that the employer has discriminated prior to the use of the challenged selection procedure, then it may also be appropriate to fashion some form of affirmative relief, on an interim and long-term basis, to remedy past violations,” NYC Guardians, 630 F.2d at 108. The District Court expressed the view that its conclusion concerning the need for “close and continuing supervision” is “as applicable to the remedy for the City’s violation of the disparate impact provisions of Title VII as it is to the remedy for the City’s intentional discrimination against black firefighter candidates.” United States v. City of New York, No. 07-cv-2007, 2011 WL 4639832, at *11 (E.D.N.Y. Oct. 5, 2011). The Intervenors endorse this view and, somewhat extending it, suggest that we should uphold all provisions of the injunction solely on the basis of the unchallenged disparate impact ruling. The City contends that the District Court exceeded its discretion by entering an injunction that goes beyond the scope of the Title VII disparate impact violation. In the City’s view, the only provisions of the injunction that may be sustained as relief for its disparate impact liability are those that require a lawful method of testing and a limitation on interim hiring until a valid exam is prepared. Any more intrusive remedies, the City argues, are not warranted in the absence of a valid finding of a pattern or practice of intentional discrimination, and perhaps not even then. We disagree with the positions of both sides. We think that in some respects