Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classity 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 u= 16.4 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 foced cement piers. Suppose that a reading of 32 waves showed an average wave height of x = 16.9 feet. Previo 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. • H,i u = 16.4 ft; H,2 u > 16.4 ft H,i H 16.4 ft; H,1 u < 16.4 ft Hi H = 16.4 ft; H,: u # 16.4 ft Hoi H > 16.4 ft; H,i u = 16.4 ft Hgi H < 16.4 ft; H,i u m 16.4 ft (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 e is unknown. O The standard normal, since the sample size is large and e is unknown. O The Student's t, since the sample size is large and e is known. • The standard normal, 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.)

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