Assuming that the population is normally distributed, construct a

99% confidence interval for the population mean, based on the following sample size of n=8.

1, 2, 3, 4, 5, 6, 7, and 19

Change the number 19 to 8 and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval.

Question content area bottom part 1

Find a

99% confidence interval for the population mean, using the formula or calculator.

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enter your response here

(Round to two decimal places as needed.)

Change the number 19 to 8. Find a 99% confidence interval for the population mean, using the formula or calculator.

enter your response here

enter your response here

(Round to two decimal places as needed.)

What is the effect of an outlier on the confidence interval?

A.

The presence of an outlier in the original data decreases the value of the sample mean and greatly inflates the sample standard deviation, widening the confidence interval.

B.

The presence of an outlier in the original data increases the value of the sample mean and greatly decreases the sample standard deviation, narrowing the confidence interval.

C.

The presence of an outlier in the original data increases the value of the sample mean and greatly inflates the sample standard deviation, widening the confidence interval.

D.

The presence of an outlier in the original data decreases the value of the sample mean and greatly decreases the sample standard deviation, narrowing the confidence interval.