Question

A recent study compared the time spent together by single- and dual-earner couples. According to the records kept by the wives during the study, the mean amount of time spent together watching television among the single-earner couples was 61 minutes per day, with a standard deviation of 15.5 minutes. For the dual-earner couples, the mean number of minutes spent watching television was 48.4 minutes, with a standard deviation of 18.1 minutes. At the 0.01 significance level, can we conclude that the single-earner couples on average spend more time watching television together? There were 15 single-earner and 12 dual-earner couples studied. Hint: For the calculations, assume the single-earner as the first sample. a. Is this a one-tailed or a two-tailed test? O One-tailed test. O Two-tailed test. b. State the decision rule. (Round your answer to 3 decimal places.) The decision rule is to reject HO if t is

Answer 1

solution:

a) the test is one tailed test

b) n1=15 n2=12

df=15+12-2

=25

alpha=0.01

critical value is 2.48510 with df and alpha

the decision rule is to reject H0 if t is greater than or equal to 2.485(round to three decimals)