Let the following sample of 8 observations be drawn from a normal population with unknown mean and

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Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 2 2 , 1 8 , 1 4 , 2 5 , 1 7 , 2 8 , 1 5 , 20.

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

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

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

d. What happens to the margin of error as the confidence level increases from 80% to 90%? P-69

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