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 u = 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) off fixed cement piers. Suppose that a reading of 40 waves showed an average wave height of x = 17.3 feet. Previous studies of severe storms indicate that o = 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 and alternate hypotheses. O Họ: H > 16.4 ft; H: H= 16.4 ft O Họ: H = 16.4 ft; Hz: µ < 16.4 ft O Ho: H = 16.4 ft; H;: µ * 16.4 ft O Ho: H< 16.4 ft; H: H- 16.4 ft O Họ: H= 16.4 ft; H: H> 16.4 ft (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 unknown. O The standard normal, since the sample size is large and a is unknown. O The standard normal, since the sample size is large and a is known. O The Student's t, 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.) (c) Estimate the P-value. O P-value > 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010
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 u = 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) off fixed cement piers. Suppose that a reading of 40 waves showed an average wave height of x = 17.3 feet. Previous studies of severe storms indicate that o = 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 and alternate hypotheses. O Họ: H > 16.4 ft; H: H= 16.4 ft O Họ: H = 16.4 ft; Hz: µ < 16.4 ft O Ho: H = 16.4 ft; H;: µ * 16.4 ft O Ho: H< 16.4 ft; H: H- 16.4 ft O Họ: H= 16.4 ft; H: H> 16.4 ft (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 unknown. O The standard normal, since the sample size is large and a is unknown. O The standard normal, since the sample size is large and a is known. O The Student's t, 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.) (c) Estimate the P-value. O P-value > 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter48: Applications Of Formulas To Spur Gears
Section: Chapter Questions
Problem 23A
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