Customers of a hypothetical airline usually wait in a single large line to drop off their luggage at the counter. When there is only one line, the standard deviation of the waiting time is 6.5 minutes. A pilot study of 29 passengers used multiple lines instead of a single line. For these 29 passengers, the standard deviation of the waiting time is 5.5 minutes. We want to use this information to determine if using multiple lines alters the standard deviation. Use significance level 0.05.

(a) What are the null and alternative hypotheses? (b) What is the value of the test statistic? (c) What is the lower critical value? (d) What is the upper critical value? (e) Does this hypothesis test support the claim that using multiple lines alters the standard deviation? (f) Should the p-value for this test be greater than or less than the significance level? (g) Construct a 95% two-sided confidence interval for the variance of the waiting times. (h) Construct a 95% two-sided confidence interval for the standard deviation of the waiting times.