In: Statistics and Probability
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
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.