A psychologist at a private mental hospital was asked to determine whether there was a clear difference in the length of stay for 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 follows:   Diagnosis Category   Affective Disorders Cognitive Disorders Drug-Related Conditions 7 12 8 6 8 10 5 9 12 6 11 10 Using alpha = 0.05, is there a significant difference in length of stay among diagnosis categories?  Show all five steps of hypothesis testing and compute the means and standard deviations for each group.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A psychologist at a private mental hospital was asked to determine whether there was a clear difference in the length of stay for 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 follows:

 

Diagnosis Category

 

Affective Disorders

Cognitive Disorders

Drug-Related Conditions

7

12

8

6

8

10

5

9

12

6

11

10

Using alpha = 0.05, is there a significant difference in length of stay among diagnosis categories?  Show all five steps of hypothesis testing and compute the means and standard deviations for each group. 

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