Three Universities in Your State Decided to Administer the Same $\alpha$

question 64

Essay

Three universities in your state decided to administer the same comprehensive examination to the recipients of MBA degrees from the three institutions.From each institution,MBA recipients were randomly selected and were given the test.The following table shows the scores of the students from each university.

At $\alpha$ = 0.01,test to see if there is any significant difference in the average scores of the students from the three universities.(Note that the sample sizes are not equal. )Use both the critical and p-value approaches.

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Definitions:

Depression

A common and serious mood disorder marked by persistent sadness, loss of interest in activities, and a range of physical and cognitive symptoms.

Ordinary Sadness

Normal feelings of unhappiness or sorrow that are typically transient and a natural response to life's disappointments or losses.

Impaired

Having reduced function or capability in a physical or cognitive sense.

Major Depressive Disorder

A mental health condition marked by persistent feelings of sadness, hopelessness, and loss of interest, often accompanied by physical symptoms.