Solution) A simple random sample of size n is drawn from a popu­lation that is normally distributed with popul


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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