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[Solution Library] A simple random sample of size n is drawn from a population that is normally distributed with population standard deviation, σ, known to

Question: A simple random sample of size n is drawn from a population that is normally distributed with population standard deviation, σ, known to be 13. The sample mean, xbar, is found to be 108.
a. Compute the 96% confidence interval if the sample size, n, is 25.
b. Compute the 96% confidence interval if the sample size, n, is 10. How does decreasing the sample size affect the margin of error, E?
c. Compute the 88 % confidence interval if the sample size, n, is 25.
d. Compare the results to those obtained in part (a). How does decreasing the level of confidence affect the size of the margin of error, E?

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