Question

Assuming that the population is normally​ distributed, construct a 95% confidence interval for the population​ mean, based on the following sample size of n=6.

​1, 2,​ 3, 4, 5​,and 15

In the given​ data, replace the value 15 with 6 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 95% confidence interval for the population​ mean, using the formula or technology.

Answer 1

95 % confidance interval using data value

1,2,3,4,5,15

Using Ti 83

Now 95% confidance interval using data values

1,2,3,4,5, 6

Using Ti 83

from the above both cofidance interval we can see that,

After removing outliers the width of confidence interval decreases.