erwise 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 ge near the ocean. A severe storm has an average peak wave height of = 16.5 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 40 waves showed an average wave height of x= 16.7 feet. Previous studies of severe s 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? State the null hypothesis Ho and the alternate hypothesis H₁. Ho: ---Select--- 8 H₁: ---Select--- 8 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and a is known. The standard normal, since the sample size is large and a is known. The Student's t, since the sample size is large and is unknown. O The standard normal, since the sample size is large and a is unknown. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Calculate the P-value.(Round your answer to four decimal places.)

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HW 8.2 #6 STEP BY STEP DONT USE EXCEL!
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 μ = 16.5 feet for waves hitting the shore. Suppose that 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 40 waves showed an average wave height of x = 16.7 feet. Previous studies of severe
storms indicate that a = 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?
State the null hypothesis Ho and the alternate hypothesis H₁.
Ho: ---Select---
H₁ H ---Select---
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
O The Student's t, since the sample size is large and o is known.
O The standard normal, since the sample size is large and o is known.
The Student's t, since the sample size is large and is unknown.
The standard normal, since the sample size is large and is unknown.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Calculate the P-value. (Round your answer to four decimal places.)
Transcribed Image Text: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 μ = 16.5 feet for waves hitting the shore. Suppose that 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 40 waves showed an average wave height of x = 16.7 feet. Previous studies of severe storms indicate that a = 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? State the null hypothesis Ho and the alternate hypothesis H₁. Ho: ---Select--- H₁ H ---Select--- (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and o is known. O The standard normal, since the sample size is large and o is known. The Student's t, since the sample size is large and is unknown. The standard normal, since the sample size is large and is unknown. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Calculate the P-value. (Round your answer to four decimal places.)
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