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 37 waves showed an average wave height of x = 17.4 feet. Previous studies of severe storms indicate that ? = 3.0 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01. Solve the problem using the critical region method of testing (i.e., traditional method). State the null and alternative hypotheses (in feet). (Enter != for ≠ as needed.) Calculate the appropriate test statistic. (Round your answer to two decimal places.) State the critical region(s). (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) State your conclusion in the context of the application. The P-value for this test is 0.0213. Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 37 waves showed an average wave height of

x = 17.4 feet. Previous studies of severe storms indicate that ? = 3.0 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01. Solve the problem using the critical region method of testing (i.e., traditional method).

State the null and alternative hypotheses (in feet). (Enter != for ≠ as needed.)

Calculate the appropriate test statistic. (Round your answer to two decimal places.)

State the critical region(s). (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)

State your conclusion in the context of the application.

The P-value for this test is 0.0213. Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same?

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