In Exercises 51–54, test the claim about the population variance s2 or standard deviation s at the level of significance a. Assume the population is normally distributed. 51. Claim: s2 7 2; a = 0.10...

In Exercises 51–54, test the claim about the population variance s2 or standard deviation s at the level of significance a. Assume the population is normally distributed.

51. Claim: s2 7 2; a = 0.10

Sample statistics: s2 = 2.95, n = 18

52. Claim: s2 … 60; a = 0.025

Sample statistics: s2 = 72.7, n = 15

53. Claim: s = 1.25; a = 0.05

Sample statistics: s = 1.03, n = 6

54. Claim: s _ 0.035; a = 0.01

Sample statistics: s = 0.026, n = 16