erwise 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 ge near the ocean. A severe storm has an average peak wave height of = 16.5 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 40 waves showed an average wave height of x= 16.7 feet. Previous studies of severe s indicate that = 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 hypothesis Ho and the alternate hypothesis H₁. Ho: ---Select--- 8 H₁: ---Select--- 8 (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 a is known. The standard normal, since the sample size is large and a is known. The Student's t, since the sample size is large and is unknown. O 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.) (c) Calculate the P-value.(Round your answer to four decimal places.)