Estimate the P-value. choose one: P-value > 0.2500. 100 < P-value < 0.250 0.050 < P-value < 0.1000. 010 < P-value < 0.050 P-value < 0.010 b) Sketch the sampling distribution and show the area corresponding to the P-value. c) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??
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 38 waves showed an average wave height of x = 17.3 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) Estimate the P-value. choose one:
At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.
At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
Given that
Sample size n = 38
Sample mean = 17.3
Population SD = 3.5
Level of significance = 0.01
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