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, and for College Z, What should you conclude? Use the .05 level.

(a) Use the five steps of hypothesis testing;

(b) figure the effect size; and

(c) explain your answers to

(a) and

(b) to someone who understands everything involved in conducting a t test for independent means but who has never heard of the analysis of variance.