# [Solution]State your conclusion using the critical region method

8.2 Hypothesis Test using ZNor’easter storms that frequently hit New England can cause much damage near the ocean. A severe storm has an average peak…

8.2 Hypothesis Test using ZNor’easter storms that frequently hit New England can cause much damage near the ocean. A severe storm has an average peak wave height of = 16.4 feet for waves hitting the shore. Suppose that a Nor’easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 38 waves showed an average wave height of = 18.3 feet. Previous studies of severe storms indicate that = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use = 0.10. Solve the problem using both the critical region method (i.e. traditional method) and the P-value method. (Round your answers to two decimal places for the test statistic and the critical value. Round your answer to four decimal places for the P-value.)zvalue ________ critical value _____________P-value ______________State your conclusion using the critical region method.Select the correct answer: –Select–ABCDItem 4A.Reject the null hypothesis, there is sufficient evidence that the average storm level is increasing.B.Reject the null hypothesis, there is insufficient evidence that the average storm level is increasing.C.Fail to reject the null hypothesis, there is sufficient evidence that the average storm level is increasing.D.Fail to reject the null hypothesis, there is insufficient evidence that the average storm level is increasing.Compare your conclusion using the critical region method with the conclusion obtained by using the P-value method. Are they the same?Select the correct answer: –Select–ABCItem 5A.The conclusions obtained by using both methods are the same.B.We reject the null hypothesis using the critical region method, but fail to reject using the P-value method.C.We reject the null hypothesis using the P-value method, but fail to reject using the critical region method.You may need to use the appropriate table in Appendix II to answer this question.

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