probability and statistics
posted by Dianne .
Chapter 9: 17. Do students at various universities differ in how sociable they are? Twentyfive
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 5 hours and an estimated
Population variance of 2 hours; for University Y, M=4,S2=1.5 ; and for University
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 parts (a) and (b) to someone who has never had

Here are a few hints:
Check out a oneway ANOVA for this kind of problem. Do the calculations to find the Fratio to compare to the critical or cutoff value from the Fdistribution table (used for ANOVA tests). Find the critical or cutoff value at .05 level of significance using the table to reject the null hypothesis (which would state that all population means are equal). If the null is rejected in favor of the alternate hypothesis (which would state that all population means are not equal), then you can conclude a difference. 
the cutoff is between 2 and 6