A random sample of 24 observations is used to estimate the population mean. The sample mean and the sample standard deviation are calculated as 104.6 and 28.8, respectively. Assume that the population is normally distributed. Use Table 2.

a. Construct the 90% confidence interval for the population mean. (Round intermediate calculations to 4 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.)

Confidence interval________ to________

b. Construct the 99% confidence interval for the population mean. (Round intermediate calculations to 4 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.)

Confidence interval ________ to ________

c. Use your answers to discuss the impact of the confidence level on the width of the interval.

Option a) As the confidence level increases, the interval becomes narrower.

or

Option b) As the confidence level increases, the interval becomes wider.

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