# Question

Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 22, 18, 14, 25, 17, 28, 15, 21.

a. Calculate the sample mean and the sample standard deviation.

b. Construct the 80% confidence interval for the population mean.

c. Construct the 90% confidence interval for the population mean.

d. What happens to the margin of error as the confidence level increases from 80% to 90%?

a. Calculate the sample mean and the sample standard deviation.

b. Construct the 80% confidence interval for the population mean.

c. Construct the 90% confidence interval for the population mean.

d. What happens to the margin of error as the confidence level increases from 80% to 90%?

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