Recall the sugar content of the syrup in canned peaches from Exercise 8-36. Suppose that the variance is thought to be 2 = 18 (milligrams)2. A random sample of n = 10 cans yields a sample standard deviation of s = 4.8 milligrams.
(a) Test the hypothesis H0: σ 2 = 18 versus H1: 2 = 18 using a = 0.05.
(b) What is the P-value for this test?
(c) Discuss how part (a) could be answered by constructing a 95% two-sided confidence interval for σ.