I have a homework that I'm struggling with please help. Thank you

[3 points} A manufacturing manager claims that the piston cylinders produced at her facility have diameters with a standard deviation of less than 0.01 millimeter. Twenty-two randomly selected cylinders from the facility yield a standard deviation of 0.0089 millimeters. Assume the distribution of cylinder diameters is normal. a. What is the lower condence bound for the true standard deviation (0) with 95% condence level? 13. Test the manager's claim at the 0.05 signicance level. (3 points) To test a claim that the mean body temperature of adult humans is NOT 98.6 degrees, a random sample of 25 adults is taken. The average temperature of these 20 individuals was 98.2 with standard deviation of 0.62. If a signicance level of 0.05 is used. a. Write null and alternate hypothesis. b. What would he the conclusion about the null hypothesis? c. Calculate pvalue of this test