question archive 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
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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 28
In the given? data, replace the value 28 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.
a. Find a 99% confidence interval for the population mean, using the formula or technology. (round to two decimal places as needed)
b. In the given data, replace the value 28 with 8. Find a 99% confidence interval for the population mean, using the formula or technology. (round to two decimal places as needed)
c. 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 increases 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 decreases 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 decreases the value of the sample mean and greatly inflates the sample standard deviation, widening the confidence interval.