A psychologist at a private psychiatric hospital was asked to determine whether there was any clear difference in the length of stay of patients with different categories of diagnosis. Looking at the last four patients in each of the three major?categories, the results?(in terms of weeks of?stay) were as shown in the accompanying table. Complete parts?(a) through?(c) below.

A psychologist at a private psychiatric hospital was asked to determine whether there was any clear difference in the length of stay of patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as shown in the accompanying table. Complete parts (a) through (c) below. Click here to view the studies 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) Using the 0.05 level and the five steps of hypothesis testing, is there a significant difference in length of stay among diagnosis categories? 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 these populations have the same mean. O B. 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. O C. The null hypothesis is that these populations have the same mean. The research hypothesis is that the population means are not the same. O D. 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. Determine the characteristics of the comparison distribution. The comparison distribution will be an F distribution with diBetween = and diwithin =]- i Study Results - X Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected. At the 0.05 level, the cutoff F is]. Diagnosis Category (Round to two decimal places as needed.) Affective Disorders Cognitive Disorders Drug-Related Conditions Determine the sample's score on the comparison distribution. 17 7 F=(Round to three decimal places as needed.) 8 10 10 11 Decide whether to reject the null hypothesis. Choose the correct answer below. 10 10 O A. Reject the null hypothesis. The research hypothesis is true. O B. Do not reject the null hypothesis. The research hypothesis is false. Print Done O C. Reject the null hypothesis. The research hypothesis is supported.Decide whether to reject the null hypothesis. Choose the correct answer below. O A. Reject the null hypothesis. The research hypothesis is true. O B. Do not reject the null hypothesis. The research hypothesis is false. O C. Reject the null hypothesis. The research hypothesis is supported. O D. Do not reject the null hypothesis. The test is inconclusive. Explain the answer to part (a) to someone who understands everything involved in conducting a t test for independent means but is unfamiliar with the analysis of variance. Rather than conducting a t test to compare a test was conducted to compare using similar assumptions about and estimations for population as well as population normality assumptions. The results of the test show that