Does the Court have jurisdiction to order that a plaintiff be heard before the Court of Appeal?

The petitioner urges that Sampson v. Murray, 415 U.S. 61, 94 S.Ct. 937, 39 L.Ed.2d 166 (1974) is controlling while respondent says that it is inapposite. But we need not rely on the All Writs Act. We believe that jurisdiction is present in the exercise of our supervisory power over the administration of the courts. United States v. Dooling, 406 F.2d 192, 198 (2nd Cir. 1969); United States v. Weinstein, 452 F.2d 704, 708-709 (2nd Cir. 1971). In practical effect petitioner has been denied her rights under the Regulation and a stigma has been placed upon her which may prevent her from taking advantage of other employment in the field in which she is trained, without her being heard. Certainly such a situation should not be tolerated in the courts of all places.