14. A simple random sample with n 54 provided a sample mean of 22.5 and a...

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14. A simple random sample with n 54 provided a sample mean of 22.5 and a sample standard deviation of 4.4. (See Table 2 of Appendix B for a more extensive t table.)

a. Develop a 90% confidence interval for the population mean.

b. Develop a 95% confidence interval for the population mean.

c. Develop a 99% confidence interval for the population mean.

d. What happens to the margin of error and the confidence interval as the confidence level is increased?

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