Question

In which of the following scenarios will conducting a two-sample t t -test for means be appropriate? CHECK ALL THAT APPLY. A. To test if there is a difference between the mean annual income of husbands and that of wives in Canada. B. 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. D. To test if the proportion of low-income families is higher than that of high-income families in British Columbia. E. To test if there is a difference between the proportion of low-income families in British Columbia and a known national proportion. F. To test if there is a difference between the mean annual income of British Columbians and a known national mean. G. None of the above

Answer 1

a two sample t test can be applied when there are two different samples and we are testing that the the population mean of of these two samples are are different or or one population mean is greater than to other or one population mean is less than to the other population mean.

A) the two samples are are annual income of husbands and annual incomes of wives in Canada. therefore two sample t test is appropriate.

B) here the two samples are the annual income of ontarians and the annual income of British Columbians. therefore t-test of two samples is appropriate.

C) here the two samples are our annual income of male British Columbians and annual income of female British colombians. therefore the two sample t test is appropriate.

D) for proportion we can apply Z test. soti test is not appropriate.

E) Z test is appropriate.

F) one sample t test is appropriate here the only sample is mean annual income of British Columbians.