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 µ = 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 39 waves showed an average wave height of x = 16.7 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: H = 16.4 ft; H1: 4= 16.4 ft Họ: H = 16.4 ft, Hy: < 16.4 ft Họ: l > 16.4 ft; Hy: µ = 16.4 ft Ho με 164ftt Η; με 16.4t Ho: H = 16.4 ft; H1: 4 > 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 known. The Student's t, since the sample size is large and o is known. The standard normal, since the sample size is large and o is unknown. The Student's t, since the sample size is large and o is unknown. 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 < P-value < 0.250 0.050 < P-value < 0.100 0.010 < P-value < 0.050 P-value < 0.010