An article published by the American Meteorological Society, gives a rating system used to classify Nor'easter storms that frequently hit New England which often cause havoc near the ocean. A severe storm has an average peak wave height of=16.4 feet for waves near the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land off piers. Suppose that a reading of 46 waves showed an average wave height ofx=17.8xfeet. Previous reports of severe storms indicate that=3.5feet. Does this information suggest that the storm is increasing above the severe rating? Use=0.001to test the claim.

What is the level of significance?

State the null and alternate hypotheses.

H0:

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p

Select an answer

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H1:

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p

Select an answer

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What sampling distribution will you use? Explain the rationale for you choice of sampling distribution.

• The Student's t, since the sample size is large andis known.
• The standard normal, since the sample size is large andis known.
• The Student's t, since the sample size is large andis unknown.
• The standard normal, since the sample size is large andis unknown.

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

Find the P-value.(Round your answer to four decimal places.)

Based on your results, will you reject or fail to reject the null hypothesis? Are the data statistically significant at level?

• At the=0.001 level, we reject the null hypothesis and conclude the data are statistically significant.
• At the=0.001 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
• At the=0.001 level, we reject the null hypothesis and conclude the data are not statistically significant.
• At the=0.001 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

Interpret your conclusion in the context of the application.

• There is insufficient evidence at the 0.001 level to conclude that the storm is increasing above above the severe rating.
• There is sufficient evidence at the 0.001 level to conclude that the storm is increasing above above the severe rating.