Supporters claim that a new windmill can generate an average of at least 800 kilowatts of power
Question:
a. What is the probability a of a Type I error using the decision rule if the population mean is, in fact, 800 kilowatts per day?
b. What is the probability b of a Type II error using this decision rule if the population mean is, in fact, 740 kilowatts per day?
c. Suppose that the same decision rule is used, but with a sample of 200 days rather than 100 days.
i. Would the value of a be larger than, smaller than, or the same as that found in part a? ii. Would the value of b be larger than, smaller than, or the same as that found in part b?
d. Suppose that a sample of 100 observations was taken, but that the decision rule was changed so that the claim would not be rejected if the sample mean was at least 765 kilowatts.
i. Would the value of a be larger than, smaller than, or the same as that found in part a?
ii. Would the value of b be larger than, smaller than, or the same as that found in part b?
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Related Book For
Statistics For Business And Economics
ISBN: 9780132745659
8th Edition
Authors: Paul Newbold, William Carlson, Betty Thorne
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