Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and 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 40 waves showed an average wave height of x = 17.8 feet. Previous studies of severe storms indicate that = 4.0 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use a = 0.01. Solve the problem using the critical region method of testing (i.e., traditional method). State the null and alternative hypotheses (in feet). (Enter != for as needed.) Ho: H₂: Calculate the appropriate test statistic. (Round your answer to two decimal places.) State the critical region(s). (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) test statistic 2 test statistic s State your conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that the average storm level is increasing. O Reject the null hypothesis, there is insufficient evidence that the average storm level is increasing. O Fail to reject the null hypothesis, there is sufficient evidence that the average storm level is increasing. O Fail to reject the null hypothesis, there is insufficient evidence that the average storm level is increasing. The P-value for this test is 0.0134. Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same? O We reject the null hypothesis using the traditional method, but fail to reject using the P-value method. O We reject the null hypothesis using the P-value method, but fail to reject using the traditional method. The conclusions obtained by using both methods are the same.