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 32 waves showed an average wave height of x = 16.7 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 @ = 0.01. (a) What is the level of significance? State the null and alternate hypotheses (in feet). (Enter != for # as needed.) H, (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and o is unknown. The standard normal, since the sample size is large and o is known The standard normal, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and is known. 4 Compute the appropriate sampling distribution value of the sample test statistic. (Round your answer to two decimal places.)