Chapter 10.4, Problem 53PB

Movies versus parties Refer to the previous two exercises. Using software, compare the responses on movies and parties using (a) all steps of a significance test and (b) a 95% confidence interval. Interpret results in context.

10.51 Social activities for students As part of her class project, a student at the University of Rorida randomly sampled 10 fellow students to investigate their most common social activities. As part of the study, she asked the students to state how many times they had done each of the following activities during the previous year: going to a movie, going to a sporting event, or going to a party. The table shows the data.

1. a. To compare the mean movie attendance and mean sports attendance using statistical inference, should we treat the samples as independent or dependent? Why?
2. b. The figure is a dot plot of the n = 10 difference scores for movies and sports. Does this show any irregularities that would make statistical inference unreliable?

Dot plot of difference scores.

1. c. Using the MINITAB output shown for these data, show how the 95% confidence interval was obtained from the other information given in the printout. Interpret the interval.
2. d. Show how the test statistic shown on the printout was obtained from the other information given. Report the P-value and interpret in context.

MINITAB Output for Inferential Analyses:

10.52 More social activities Refer to the previous exercise. The output shows the result of comparing the mean responses on parties and sports.

1. a. Explain how to interpret the reported 95% confidence interval.
2. b. State the hypotheses to which the P-value refers and interpret its value.
3. c. Explain the connection between the results of the test and the confidence interval.
4. d. What assumptions are necessary for these inferences to be appropriate?