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Recall the sugar content of the syrup in canned peaches. Suppose that the variance is thought to be $\sigma^{2}=18$(milligrams)$^{2}$. A random sample of n = 10 cans yields a sample standard deviation of s = 4.8 milligrams. (a) Test the hypothesis $H_{0}: \sigma^{2}=18$ versus $H_{1}: \sigma^{2} \neq 18$ using $\alpha=0.05$. (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 $\sigma$.

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