State the null and alternate hypothesesOM 16.4 R ₁-16.4OM: 16.4 ; M₁: -16.4OMR-16.4; H₁> 16.4R< 16.4 R16.4Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nereaster 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 share. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights areusually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 33 waves showed an average wave height ofx-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 a -0.01.(a) What is the level of significance?O Ho -16.4 Pt; M₂:OH-16.4 ; M₁(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distributionO The Student's f, since the sample size is large and a is unknownO The standard normal, since the sample size is large and e is known.O The standard normal, since the sample size is large and a is unknown.O The Student's t, since the sample size is large and is knownCompute the appropriate sampling distribution value of the sample test statistic. (Round your answer to two decimal places)(c) Estimate the P-valueOP-value> 0.250O 0.100 < P-value < 0.250O 0.050 P-value 0.100O 0.010 P-value 0.050OP-value < 0.010Sketch the sampling distribution and show the area corresponding to the P-value.0-301-2 -100-3o(d) 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 a?At the0.01 level, we reject the null hypothesis and conclude the data are statistically significant.At the0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.At the0.01 level, we fail to reject the nut hypothesis and conclude the data are statistically significant.At the0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant-2 -1 .1TROTES(e) Interpret your conclusion in the context of the applicationO There is sufficient evidence at the 0.01 level to conclude that the storm is increasing above the severe ratingO There is insufficient evidence at the 0.01 level to conclude that the storm is increasing above the severe ratingASK YOUR TEACHE

Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question andmention the sub-parts to be solved.The formula of the test statistic is,where, denotes the sample mean denotes the population standard deviation denotes the population meann denotes the sample sizeFrom the information, given the significance level is of Thus, the level of significance is 0.01..The hypotheses are,Null hypothesis: That is, there is no evidence to conclude that the storm is increasing above the severe rating.Alternative hypothesis: That is, there is evidence to conclude that the storm is increasing above the severe rating.(b)The type of sampling distribution used is defined as follows: From the information, it is clear that the value of the population standard deviation is known and also the sample size is large.Thus, the type of sampling distribution used is "Standard Normal".Correct option:Option 2The value of the test statistic is obtained as follows: The required value is,Thus, the value of the test statistic is 1.48.Use Excel to obtain the probability value for z =–1.753Follow the instruction to obtain the P-value: 1. Open Excel2. Go to Formula bar.3. In formula bar enter the function as“=NORMSDIST”4. Enter the test statistic z as 1.48.5. Click enter.From the Excel sheet, the P-value is 0.930563 The P-value in the right tail is 0.069437(=1-0.930563).Thus, the P-value is 0.0694.Correct option: Option 3The sketch of the graph is,Correct option: Option 4(a)Thus, the level of significance is 0.01..(b)Thus, the type of sampling distribution used is "Standard Normal".Correct option: Option 2Thus, the value of the test statistic is 1.48.(c)Thus, the P-value is 0.0694.Correct option: Option 3The sketch of the graph is,Correct option: Option 4