As part of her class project, a student at the University of Florida 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. Table 7.20 shows the data.

(a) To compare the mean movie attendance and mean sports attendance using statistical inference, should we treat the samples as independent or dependent?Why?

(b) For the analysis in (a), software shows results in Table 7.21.

Interpret the 95% confidence interval shown.

(c) Show how the test statistic shown in the output was obtained from the other information given. Report the P-value, and interpret in context.

TABLE 7.20 Activity Student Movies Sports Parties 1 10 5 25 2 4 0 10 3 12 20 6 4 2 6 52 5 12 2 12 6 7 8 30 7 45 12 52 8 1 25 2 9 25 0 25 10 12 12 4 TABLE 7.21 n Mean Std Dev Std Error Mean movies 10 13.000 13.174 4.166 sports 10 9.000 8.380 2.650 Difference 10 4.000 16.166 5.112 95% CI for mean difference: (-7.56, 15.56)
T-Test of mean difference = 0 (vs not = 0):
T-Value = 0.78 P-Value = 0.454