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A manufacturer is interested in testing a certain item for quality control. The item's length is supposed to be 60 inches, but there is some

A manufacturer is interested in testing a certain item for quality control. The item's length is supposed to be 60 inches, but there is some variation.

a. Suppose we took a random sample of 16 items. The sample mean was 60 and the sample standard deviation was 0.12. Construct a 95% confidence interval for the population mean.

b. Suppose we took a random sample of 500 items. The sample mean was 60 and the sample standard deviation was again 0.12. Construct a 95% confidence interval for the population mean.

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