3. BBUNDERSTAT12 44.03 Points] 11. ASK YOUR TEACHER Wealfierwise 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 ,u = 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 xed cement piers. Suppose that a reading of 38 waves showed an average wave height of k = 16.9 feet. Previous studies of severe storms indicate that a : 3.5 feet. Does this information suggest that the storm is (perhaps tempolarily) increasing above the severe rating? Use a : 0.01.. (a) What is the level of signicance? l:| State the null and alternate hypotheses. O Ho: y = 16.4 0,- H1: us 16.4 O 140:}: -: 16.4 ,- H1: y = 15.4% 0 HO: y = 16.4 ,- H1: y > 15.4% O HO: h' = 16.4 ft; H1: y 16.4 ft,- H1: u = 16.4ft (b) What sampling distribution will you use? Beplain the rationale for your choice of sampling distribution. 0 The Student's t, since the sample size is large and E is unknown. 0 The Student's t, since the sample size is large and o is known. 0 The standard normal, since the sample size is large and er is known. 0 The standard normal, since the sample size is large and a is unknown. What is the value of the sample test statistic? (Round your answer to two decimal places.) l:| (c) Estimate the P-value. O P-value > 0.250 O 0.100