Question: Do students at various universities differ in how sociable they are? Twenty-five students were randomly selected from each of three universities in a region and were asked to report on the amount of time they spent socializing each day with other students. The result for University X was a mean of five hours and an estimated population variance of two hours; for University Y,

M = 4, S^{2 =} 1.5; and for the University Z, M = 6, S^{2 =} 2.5. What should you conclude? Use the 0.5 level. (a) Use the steps of hypothesis testing, (b) figure the effect size for the study; and (c) explain your answers to parts (a) and (b) to someone who has never had a course in statistics.