posted by Jerry .
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 the 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, S^2=1.5: and for college z, M =6, S^2=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;
(c) explain your answers to (a) and (b) to someone who has never had a course in statistics.
You can probably use a One-Way Anova test for this data. The null hypothesis would be that all means are equal; the alternate hypothesis would be that the means are not equal. If the means are not equal, then there are differences between the groups. You can also calculate the effect size as well.