Question # 2

Do students at various colleges differ in how sociable they are? Twenty-five students were randomly selected from each of three colleges in a particular region and were asked to report on the amount of time they spent socializing each day with other students. The results for College X was a mean of 5 hours, and an estimated population variance of 2 hours; for College Y, M = 4, S²= 1.5; and for College Z, M = 6, S² = 2.5. What should you conclude (at the 0.05 level)?

Step I:

-Research hypothesis: the mean amount of

-Null hypothesis:the mean amount of time spent by students at various colleges socializing each day with students is equal.

Step II: Give the characteristics of the comparison distribution

Step III: What is (are) the cut-off(s):

Step IV: Compute the test statistic to determine sample's score on the comparison distribution

-Compute the between-group estimate of variance:

-Compute the within-group estimate of variance:

-Compute the F statistic:

Step V: What is the decision? State your answer in the APA format.