Three Universities Administer the Same Comprehensive Examination to the Recipients

question 86

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.
$\begin{array}{ccc}\text { University A }&\text { University B }&\text { University C }\\89 & 60 & 82 \\95 & 95 & 70 \\75 & 89 & 90 \\92 & 80 & 79 \\99 & 66 & \\90 & &\end{array}$
a. Compute the overall mean .
b. At α = 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.

---

Definitions:

Industry Consolidation

The process by which fewer companies control a greater share of the industry, often leading to reduced competition.

Upward Wage Pressures

The factors that cause the costs of labor in the market to increase.

Supply-Side Economist

An economist who believes that reducing tax rates and deregulation will stimulate economic growth by incentivizing individuals and businesses to produce goods and services.

Money Supply

The aggregate sum of financial assets present within an economy at a certain moment, encompassing cash, coins, and the amounts in checking and savings accounts.