The manager of a paint supply store wants to estimate the amount of paint contained in 1-gallon cans purchased form a nationally known manufacturer. The manufacturer’s specifications state that the standard deviation of the amount of paint is equal to .02 gallon. A random sample of 50 cans is selected, and the sample mean amount of paint per 1-gallon can is .995 gallon (a) Construct a 99% confidence interval estimate for the population mean amount of paint included in a 1-gallon can. (b) On the basis of these results, do you think that the manager has a right to complain to the manufacturer? Why? (c) Must you assume that the population amount of paint per can is normally distributed here? Explain. (d) Construct a 95% confidence interval estimate. How does this change your answer to (b)?
The manager of a paint supply store wants to estimate the amount of paint contained in 1-gallon cans purchased form a nationally known manufacturer. The manufacturer’s specifications state that the standard deviation of the amount of paint is equal to .02 gallon. A random sample of 50 cans is selected, and the sample mean amount of paint per 1-gallon can is .995 gallon
(a) Construct a 99% confidence
(b) On the basis of these results, do you think that the manager has a right to complain to the manufacturer? Why?
(c) Must you assume that the population amount of paint per can is
(d) Construct a 95% confidence interval estimate. How does this change your answer to (b)?
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Construct a 95% confidence
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