Weotherwise is a magazine published by the American Mctcorological Socicty. One issue gives a rating system used to classify Nor'easter storms that froquently hit New England and can cause much damage near the occan. A severe storm has an average peak wave height of g = 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) oft tixed cament plers. Suppose that a reading of 35 waves showed an zverage wave height of x- 17.3 foet. Pravlous studies of severe storms indilcate that o- 3.5 foet. Doas this information suggost that the storm is (perhaps tamporarily) Increasing above the severe rating? Usa a - 0.01. (a) What is the levcl of significance? .01 State the null and altarnate hypothesas. O Ho: H - 16.4 t; H < 16.4 t O Ho: H> 10.4 t; H: - 16.4 t O Ho: H 10.4 ft; H: - 10.4 ft O Ho: H - 10.1 ft; H:+ 10.1 t * Ho: H = 10.1 ft; H:> 16.1 ft (b) What sampling distrihutian will you use? Explain the rationale far your chcica of sampling distribution. O The Student's t, since the sample size ls large and o is known. O The standard normal, since the sample size is large and o ls unknown. O The Student's r, since tha sample size is large and o is unknown. * The standard normal, since the sample size is large and o is known. What is the value of the sample test statistic? (Round your answer to two decimal places.)
Unitary Method
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