Can a federal judge review a sentencing decision of the district court for plain error?

sentencing decision of the district court for plain error. United States v. Alvarado, 720 F.3d 153, 157 (2d Cir. 2013) (per curiam) ("Where, as here, a defendant contests the procedural reasonableness of his sentence on appeal, but did not raise his objections before the district court, we review for plain error.") (citation omitted). "A finding of 'plain error' requires that: (1) there is an error; (2) the error is clear or obvious, rather than subject to reasonable dispute; (3) the error affected the appellant's substantial rights, which in the ordinary case means it affected the outcome of the district court proceedings; and (4) the error seriously affects the fairness, integrity or public reputation of judicial proceedings." Id. (citation omitted).