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A simple random sample of size n is drawn from a population that is Normally distributed. The sample mean is found to be 108, and

A simple random sample of size n is drawn from a population that is Normally distributed. The sample mean is found to be 108, and the sample standard deviaton is found to be 10.

a. Construct a 96% confidence interval about u if the sample size is 25.

b.Construct a 96% confidence interval about u if the sample size is 10.

c. Compare your results from Parts (a) and (b). How does decreasing the sample size affect the margin of error?

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