Question

Assuming that the population is normally​ distributed, construct a 99 % confidence interval for the population​ mean, based on the following sample size of n equals 5. ​1, 2,​ 3, 4​, and 26 In the given​ data, replace the value 26 with 5 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.

Answer 1

By using the TI-84 calculator we can solve this question easily.

We have to construct 99% confidence interval for the population mean.

Data are 1,2,3,4,26

First, enter data into the Ti-84 calculator.

Click on STAT ------> Edit --------> Enter values in L1

Then Click on STAT --------> TESTS ------> TInterval --->Data ------->

List: L1

Freq: 1

C-Level: 0.99

Calculate

We get confidence interval ( - 14.56 , 28.961)

After replacing the value 26 with 5 we get data: 1,2,3,4,5

First, enter data into the Ti-84 calculator.

Click on STAT ------> Edit --------> Enter values in L1

Then Click on STAT --------> TESTS ------> TInterval --->Data ------->

List: L1

Freq: 1

C-Level: 0.99

Calculate

We get confidence interval ( - 0.2556 , 6.2556)