The manager of a recreational park was interested in estimating the mean number of visitors per day. On randomly chosen 18 days, the numbers of visitors were recorded.

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Assume that the population distribution of daily number of visitors is approximately normal.At the significance level of 0.01, conduct a test to determine whether the population mean daily number of visitors differs from 120.(need to show work)

(1)Are the assumptions for performing a hypothesis test are satisfied? Explain.

(2) State the null and alternate hypotheses.

(3)Compute the value of theteststatistic.

(4) Find the p-value.

(5) State your conclusion in the context of the problem.