Weatherwise magazine is published in association with the American Meteorological Society. Volume 46, Number 6 has a rating system to classify Nor'easter storms that frequently hit New England states and can cause much damage near the ocean coast. 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.
(a) Let us say that we want to set up a statistical test to see if the wave action (i. e., height) is dying down or getting worse. What would be the null hypothesis regarding average wave height?
μ < 16.4 μ > 16.4 μ = 16.4 μ =/ 16.4
(b) If you wanted to test the hypothesis that the storm is getting worse, what would you use for the alternate hypothesis?μ < 16.4 μ = 16.4 μ =/ 16.4 μ > 16.4(c) If you wanted to test the hypothesis that the waves are dying down, what would you use for the alternate hypothesis?μ =/ 16.4 μ = 16.4 μ < 16.4 μ > 16.4