Question

Weatherwise is a Magarine published by the American Meteorological Society. One seglves a rating system used to cal Norester 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 Noraster is in progress at the severe storm class rating, Peak wave heights are usually measured from land (using binoculars) off fed cement pers. Suppose that a reading of 38 waves showed an average wave height of 16.7 feet. Previous studies of severe storms indicate that 3.5 feet. Does this information suggest that the storm is perhaps temporary increasing where the severe rating? Use a 0.01 (a) What is the level of significance? State the Ho! land alternate hypotheses > 16.4 16.4 My 16.4ft; ML 16.4ft Hot <16.4 16.4 ft Ny 16.4 : N1 Mo 16.4 ft Hol 16.4 lt; Note 16.4ft (b) What sampling distribution will you use? Explain the rationale for your choice of samping distribution The Student'st, since the sample seis large and known The Student's t, since the sample size is large and is unknown The standard normal, since the sample sue is large and is known The standard normal, since the sample stilarge and how What is the wate of the sample test (Round your answer to two de paes.) Estimate the value 0.100 0.050 0.010 P <0.250 <0.100 0 0.010 Sketch the sampling distribution and how the area carrosos Sketch the sampling distribution and show the area corresponding to the value A - - (a) Based on your answers in parts(a) to (c), will you reject or fail to reject the nu hypothesis? Are the data statistically significant at level a? At the a- 0.01 level, we reject the full 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 a 0.01 level, we fato reject the nul nypothesis and conclude the data are statistical. ca At the 0.01 level, we fall to reject the null hypothesis and conclude the data are not statistically significant (e) Interpret your conclusion in the context of the application There is sufficient evidence at the 0.01 level to conclude that the storm is increasing above the severe rating There incent evidence at the 0.01 level to conclude that the mom inesing above the severe rating