Weatherwise is a magazine published by the American Meteorological Society. One

Question

Weatherwise is a magazine published by the American Meteorological Society. One issue of the magazine 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 mu = 16.40 feet for waves hitting the shore. Suppose that a Nor' 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 17.30 feet. Previous studies of severe storms indicate that sigma = 3.50 feet. Does this information suggest that the storm (perhaps temporarily) is increasing above the severe rating? Use alpha = 0.01 Identify the following a) The Population Mean b) The Population Standard Deviation is c) The Sample Mean d) The Significance Level is e) The Confidence Level is f The probability of Type I Error is g) The Probability of Type

Explanation / Answer

The symbols also change to reflect that we are working on a sample instead of the whole population: Themean is now x (for sample mean) instead of (the population mean), And the answer is s (for SampleStandard Deviation) instead of .

a. Population mean=16.40

b. Population staandard deviation =3.50

c. The sample mean=17.30

d. The significance level is alpha=0.01

e. Confidence level is 1-alpha=90%

f. Level of significance and type one error are same=0.01

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