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? Use the .05 level. (a) Use the steps of hypothesis testing,
(b) figure the effect size for the study; and
(c) explain your answers to (a) and (b) to someone who has never had a course in statistics.