It costs more to produce defective itemssince they must be scrapped or reworkedthan it does to produce
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a. How many parts should be sampled in order to estimate the population mean to within .1 millimeter (mm) with 90% confidence? Previous studies of this machine have indicated that the standard deviation of lengths produced by the stamping operation is about 2 mm.
b. Time permits the use of a sample size no larger than 100. If a 90% confidence interval for is constructed with n = 100, will it be wider or narrower than would have been obtained using the sample size determined in part a? Explain.
c. If management requires that µ be estimated to within .1 mm and that a sample size of no more than 100 be used, what is (approximately) the maximum confidence level that could be attained for a confidence interval that meets management’s specifications?
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