Which t test? For each scenario below determine which type of hypothesis test (o
ID: 3133149 • Letter: W
Question
Which t test? For each scenario below determine which type of hypothesis test (one-sample t test for a population mean, paired-samples t test for the population mean difference, or independent-samples t test for the difference in two population means) should be used to assess each of the following alternative hypotheses.
a) On average, wives have more years of education than their corresponding husbands.
a)one-sample t test for a population mean
b)paired-samples t test for the population mean difference
c) independent-samples t test for the difference in two population means
b) The average number of years of education for wives is 13.4 years.
a)one-sample t test for a population mean
b) paired-samples t test for the population mean difference
c) independent-samples t test for the difference in two population means
c) 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.
a) one-sample t test for a population mean
b)paired-samples t test for the population mean difference
c) independent-samples t test for the difference in two population means
Explanation / Answer
a) Paired t test is suitable, as data are paired (for each husband, there is one wive and vice versa), the mean of the pair wise differences of two groups (husbands and wives) is tested. Piared t test tests H0:mud=0 . Option b).
b) One-sample t test is suitable as average number f years of education of wives is tested. One sample t test for mean tests the hypothesis H0:mu=mu0. Option a.
c) Two sample t tests for difference of means (average age of persons marrying first time in 1970s and average marraige age of first timers in 2000) of two independnet groups (persons marrying first tim ein 1970 and person marrying first time in 2000) tests H0: mu1-mu2=0. Option c.
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