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 4 hours and an estimated population variance of 2 hours; for University Y, M = 3, S = 1.5; and for University Z, M = 5, S = 2.5. What should you conclude? Use the 0.05 level. Complete parts (a) through (c) below. Click here to view Page 1 of the cutoff F score table. Click here to view Page 2 of the cutoff F score table. Click here to view Page 3 of the cutoff F score table. Click here to view Page 4 of the cutoff F score table. ... (a) Use the steps of hypothesis testing. Determine the null and research hypotheses. Choose the correct answer below. A. The null hypothesis is that the population means are not the same. The research hypothesis is that at least two of these populations have the same mean. B. The null hypothesis is that the population means are not the same. The research hypothesis is that these populations have the same mean. 'C. The null hypothesis is that these populations have the same mean. The research hypothesis is that the population means are not the same. D. The null hypothesis is that at least two of these populations have the same mean. The research hypothesis is that the population means are not the same. Determine the characteristics of the comparison distribution for the data. The comparison distribution will be an F distribution with df Between = 2 and df within = 72 . Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected for the data. At the 0.05 level, the cutoff F is 3.12. (Round to two decimal places as needed.) Determine the sample's score on the comparison distribution for the data. F= (Round to two decimal places as needed.)