Three Universities Administer the Same Comprehensive Examination to the Recipients $\alpha$

question 81

Essay

Three universities administer the same comprehensive examination to the recipients of MS degrees in psychology. From each institution, a random sample of MS recipients was selected, and these recipients were then given the exam. The following table shows the scores of the students from each university. Note that the sample sizes are not equal.

a.Compute the overall mean.
b.At $\alpha$ = 0.01, test to see if there is any significant difference in the average scores of the students from the three universities. Use both the critical value and p-value approaches.

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Definitions:

Closed Shop

A form of union security agreement where the employer agrees to hire union members only, and employees must remain members of a union at all times.

Agency Shop

A workplace where employees must pay union fees even if they are not union members, as long as a union is the recognized bargaining agent for the workplace.

Union Members

Individuals who belong to a labor union, which represents their interests in negotiations with employers over wages, benefits, and working conditions.

Production Union

A labor organization whose members are involved in the actual manufacturing or production process of goods.