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 y = 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 34 waves showed an average wave height of E = 16.9 feet. Previous studies of severe storms indicate that J = 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? :1 State the null and alternate hypotheses. O HO: )1 = 16.4 ft; H1: )1 > 16.4 ft 0 HO: y = 16.4 ft; H1: u v: 16.4 ft 0 HO: ,1 16.4 ft; H1: pi = 16.4ft (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. 0 The Student's t, since the sample size is large and a is unknown. 0 The standard normal, since the sample size is large and a is known. 0 The Student's t, since the sample size is large and a is known. 0 The standard normal, 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.) :l (c) Estimate the Pvalue. O P-value > 0.250 O 0.100