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...



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 32 waves showed an average wave height of x = 16.7 feet. Previous studies of severe storms indicate that ? = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01.


(a) What is the level of significance?



State the null and alternate hypotheses.


H
0: ? = 16.4 ft;H
1: ? > 16.4 ftH
0: ? = 16.4 ft;H
1: ? ≠ 16.4 ftH
0: ? > 16.4 ft;H
1: ? = 16.4 ftH
0: ? = 16.4 ft;H
1: ? < 16.4="">H
0: ? < 16.4="">H
1: ? = 16.4 ft



(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.

The Student'st, since the sample size is large and ? is unknown.The standard normal, since the sample size is large and ? is unknown.    The standard normal, since the sample size is large and ? is known.The Student'st, since the sample size is large and ? is known.



What is the value of the sample test statistic? (Round your answer to two decimal places.)




(c) Estimate theP-value.



P-value > 0.2500.100 P-value < 0.250    0.050="">P-value < 0.1000.010="">P-value <>P-value <>



Sketch the sampling distribution and show the area corresponding to theP-value.
Jun 09, 2022
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