For each statement determine which type of hypothesis test a

For each statement, determine which type of hypothesis test (a. one-sample t test for a population mean, b. paired-samples t test for the population mean difference, or c. independent-samples t test for the difference in two population means) should be used to assess each of the following alternative hypothesis.

1. On average, wives have more years of education than their corresponding husbands.

2. The average number of years of education for wives is 13.4 years.

3.The average age of persons marrying for the first time in the 1970s was lower than the average age of persons marrying for the first time in the 2000s.

Solution

1.here we have to do a paired sample t test as the wives are to be selected to
their corresponding husbands so option b
2.Here we have to do a one sample t test for a population mean as there is only
one set of obs so option a
3. here we have to compare avg age of persons 1970 and 2000 hence they are
independent of each other so we do independent sample t tess for population mean
so option c