SOLUTION: In which of the following scenarios will conducting a paired t-test for means be appropriate? CHECK ALL THAT APPLY. A. To test if the mean annual income of Ontarians is higher

Algebra ->  Probability-and-statistics -> SOLUTION: In which of the following scenarios will conducting a paired t-test for means be appropriate? CHECK ALL THAT APPLY. A. To test if the mean annual income of Ontarians is higher      Log On


   

Question 1176871: In which of the following scenarios will conducting a paired t-test for means be appropriate? CHECK ALL THAT APPLY.

A. To test if the mean annual income of Ontarians is higher than that of British Columbians.
B. To test if there is a difference between the mean annual income of husbands and that of their wives in Canada.
C. To test if there is a difference between the mean annual income of male British Columbians and that of female British Columbians.
D. To test if there is a difference between the mean number of CD4 T cells in healthy patients and patients with cancer.
E. To test if there is a difference between the mean number of antibodies in patients before surgery and after surgery.
F. To test if the proportion of low-income families is higher than that of high-income families in British Columbia.
G. None of the above
Answer by MathLover1(20850) About Me  (Show Source):
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Answer:
A. To test if the mean annual income of Ontarians is higher than that of British Columbians
C. To test if there is a difference between the mean annual income of male British Columbians and that of female British Columbians.
Explanation:
The options chosen have two populations that are independent. For example in option A, the annual income of Ontarians is a different population from annual income of British Columbians and they are also independent. The two sample t test can only be used when the populations are independent, it can also be used when computing difference between the means of two populations.