3. [-/4.08 Points] DETAILS BBUNDERSTAT12 8.2.011. 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 36 waves showed an average wave height of x = 16.9 feet. Previous studies of severe storms indicate that o = 3.5 feet. Does this information suggest that the storm Is (perhaps temporarily) increasing above the severe rating? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. Ho: M = 16.4 ft; H1: M 16.4 ft; H1: 1 = 16.4 ft HO: M = 16.4 ft; H1: # # 16.4 ft Ho: M = 16.4 ft; H1 : H > 16.4 ft b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since the sample size is large and a is unknown. The standard normal, since the sample size is large and a is known. The Student's t, since the sample size is large and o is unknown. The Student's t, since the sample size is large and a is known. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Estimate the P-value. P-value > 0.250 0.100