Assuming that the population is normally distributed, construct a

95 % confidence interval for the population mean, based on the following sample size of n equals n=6.

1, 2, 3,4, 5, and16

Change the number 16 to 6 and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval.

Find a 95% confidence interval for the population mean, using the formula or calculator. enter your response here less than or equalsmuless than or equalsenter your response here

(Round to two decimal places as needed.)

Change the number 16

to 6. Find a 95% confidence interval for the population mean, using the formula or calculator. enter your response here less than or equalsmuless than or equalsenter 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 decreases the sample standard deviation, narrowing the confidence interval.

B.

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.

C.

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.

D.

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.