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(Solved): 3) A restaurant claims that the standard deviation of the lengths of serving times is 3 minutes. A ...

3) A restaurant claims that the standard deviation of the lengths of serving times is 3 minutes. A random sample of 27 serving times has a standard deviation of 3.9 minutes. At alpha equal 0.05, is there enough evidence to reject the restaurant's claim?A) Write the claim mathematically and state the null and alternative hypotheses. B) Determine whether the hypothesis test is left-tailed, right-tailed, or two tailed and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning.C) Find the critical value(s), draw a sketch identifying the rejection region(s).D) Find the appropriate standardized test statistic.E) Decide whether to reject or fail to reject the null hypothesis.F) Interpret the decision in the context of the original claim.

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