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A simple random sample of size n is drawn. The sample mean is found to be 18.4, and the sample standard deviation is found to

A simple random sample of size n is drawn. The sample mean is found to be 18.4, and the sample standard deviation is found to be 4.5

a. Construct a 95% confidence interval about u if the sample size is 35.

b. Construct a 95% confidence interval about u if the sample size is 50.

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

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