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

23

In the given data, replace the value

23

with

8

and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval, in general.

Find a

99%

confidence interval for the population mean, using the formula or technology.

nothingnothing

(Round to two decimal places as needed.)

In the given data, replace the value

23

with

8.

Find a

99%

confidence interval for the population mean, using the formula or technology.

nothingnothing

(Round to two decimal places as needed.)

Using the results from the previous two steps, what is the effect of an outlier (that is, an extreme value) on the confidence interval, in general?

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.