A manufacturing manager claims that the piston cylinders produced at her facility have diameterswithastandarddeviationoflessthan0.01millimeter.Twenty-tworandomlyselected cylinders from the facility yield a standard deviation of 0.0089 millimeters. Assume the distribution of cylinder diameters is normal. a. Whatisthelowerconfidenceboundforthetrue standarddeviation()with 95%confidence level? b. Test the manager's claim at the 0.05 significance level.