# 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 DisordersCognitive DisordersDrug-Related Conditions71286810591261110Using 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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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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Step 1

Given data

Step 2

Formulation of hypothesis

Null Hypothesis is :- There is no difference in the length of stay for patients with different categories of diagnosis.

H0: µAffective Disorders = µCognitive Disorders = µDrug-Related Conditions

Alternative Hypothesis is :- There is significant difference in the length of stay for patients with different categories of diagnosis.

Hα: µAffective Disorders ≠ µCognitive Disorders ≠ µDrug-Related Conditions

Steps to perform ANOVA in Excel is given below

• Enter the data in Excel
• GO to data->data analysis->select Anova: Single Factor
• Enter the following data in this table
Step 3

Result obtained f...

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