MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 36 waves showed an average wave height of x = 16.9 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?
.01
State the null and alternate hypotheses.
Ο Η,: μ= 16.4 ft ; Η, : μ# 16.4 ft
O Ho: H > 16.4 ft; H,: µ = 16.4 ft
Ο H, μ< 16.4 ft; Η, : μ= 16.4 ft
Ο H: μ 16.4 ft; H,: μ < 16.4 ft
O Ho: H = 16.4 ft; H,: µ > 16.4 ft
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
O The standard normal, since the sample size is large and o is unknown.
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 o 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.)
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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 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 36 waves showed an average wave height of x = 16.9 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? .01 State the null and alternate hypotheses. Ο Η,: μ= 16.4 ft ; Η, : μ# 16.4 ft O Ho: H > 16.4 ft; H,: µ = 16.4 ft Ο H, μ< 16.4 ft; Η, : μ= 16.4 ft Ο H: μ 16.4 ft; H,: μ < 16.4 ft O Ho: H = 16.4 ft; H,: µ > 16.4 ft (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and o is unknown. 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 o 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.)
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