Question

In: Statistics and Probability

In which of the following scenarios will conducting a tt-test for the difference in the means...

In which of the following scenarios will conducting a tt-test for the difference in the means of two independent samples be appropriate? CHECK ALL THAT APPLY.

A. To test if there is a difference between the proportion of low-income families in Oklahoma and a known national proportion.

B. To test if there is a difference between the mean annual income of Oklahomans and a known national mean.

C. To test if there is a difference between the mean annual income of husbands and wives in Oklahoma.

D. To test if the mean annual income of Texans is higher than that of Oklahomans.

E. To test if the proportion of low-income families is higher than that of high-income families in Oklahoma.

F. To test if there is a difference between the mean annual income of male Oklahomans and that of female Oklahomans.

G. None of the above


b.) In which of the following scenarios will conducting a paired tt-test for means be appropriate? CHECK ALL THAT APPLY.

A. To test if there is a difference between the mean number of antibodies in patients before surgery and after surgery.

B. To test if the proportion of low-income families is higher than that of high-income families in Oklahoma.

C. To test if there is a difference between the mean number of CD4 T cells in healthy patients and patients with cancer.

D. To test if there is a difference between the mean annual income of husbands and wives in Oklahoma.

E. To test if the mean annual income of Texans is higher than that of Oklahomans.

F. To test if there is a difference between the mean annual income of male Oklahomans and that of female Oklahomans.

G. None of the above

Solutions

Expert Solution

Solution:

i)following scenarios will conducting a t-test for the difference in the means of two independent samples be appropriate

B. To test if there is a difference between the mean annual income of Oklahomans and a known national mean.

C. To test if there is a difference between the mean annual income of husbands and wives in Oklahoma.

D. To test if the mean annual income of Texans is higher than that of Oklahomans.

F. To test if there is a difference between the mean annual income of male Oklahomans and that of female Oklahomans.

ii)the following scenarios will conducting a paired t-test for means be appropriate

A. To test if there is a difference between the mean number of antibodies in patients before surgery and after surgery.

Two samples independent t-test:

we use this test when we want to compare the mean of two groups they are independent each other

Paired t test:

we use this test when we want to compare two means of sam group after intervals which is variables depends on each other.


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