The Internal Revenue Service claims that the mean wait time for callers during a recent tax filing

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The Internal Revenue Service claims that the mean wait time for callers during a recent tax filing season was at most 15 minutes. A random sample of 40 callers has a mean wait time of 16.7 minutes and a standard deviation of 2.7 minutes. Is there enough evidence to reject the claim at α = 0.01?
(a) Identify the claim and state H0 and Ha,
(b) Find the critical value(s) and identify the rejection region(s),
(c) Find the standardized test statistic t,
(d) Decide whether to reject or fail to reject the null hypothesis,
(e) Interpret the decision in the context of the original claim. Assume the population is normally distributed. If convenient, use technology.
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