Statistics

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 36 waves showed an average wave height of x = 17.3 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. 44 PM OH: H > 16.4 ft; H : H = 16.4 ft OH: p 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 o is known. O 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 o is unknown. O The standard normal, since the sample size is large and a is known. hot 49 PM What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Estimate the P-value. New Folder O P-value > 0.250 hot Items 26 PM K 0.100