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Answer:
B. To test if the mean annual income of Ontarians is higher than that of British Columbians
E. 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 B, 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
The scenarios where conducting a two-sample t-test for means be appropriate include:
- A. To test if there is a difference between the proportion of low-income families in British Columbia and a known national proportion.
- E. To test if there is a difference between the mean annual income of male British Columbians and that of female British Columbians.
It should be noted that the two sample t-test is used when the populations are independent band the sample size is small.
Therefore, it will be appropriate to test if there is a difference between the proportion of low-income families in British Columbia and a known national and the difference between the mean annual income of male British Columbians and that of female British Columbians.
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