Question

6. A recent study compared the time spent together by single and dual-earner couples. According to the records kept during the study, the mean amount of time spent together watching TV among single-earner couples was 64 minutes per day, with a standard deviation of 15.5 minutes. For the dual-earner couples, the mean time was 48.4 minutes and the standard deviation was 18.1. At a 0.01 significance level, can we conclude that the single-earner couples on average spend more time watching TV together? There were 20 single-earner and 12 dual-earner couples studied. State the decision rule, the value of the test statistic, and your decision.

	Reject if t > 2.457, t = 2.59, single-earner couples spend more time watching TV together.
	Reject if t > 2.508, t = 0.96, insufficient evidence to say that single-earner couples spend more time watching TV together.
	Reject if t > 2.797, t = 2.57, single-earner couples spend more time watching TV together.
	Reject if t > 2.042, t = 1.96, insufficient evidence to say that single-earner couples spend more time watching TV together.

7. When you perform a two-sample test of hypothesis on dependent samples, what test statistic do you use?

	z
	d
	t
	s

8. You would use a pooled t-Test when the sampled populations have equal but __________ standard deviations.

Answer 1

TOPIC:Two-sample t-test,Paired t-test etc..

6.> Here,we assume the population standard deviations for the two samples are equal.