Three Universities in Your State Decided to Administer the Same

question 14

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.
$$\begin{array} { c c c } \text { Northern } & \text { Central } & \text { Southern } \\\text { Univarsity } & \text { University } & \text { University } \\75 & 85 & 80 \\80 & 89 & 81 \\84 & 86 & 84 \\85 & 88 & 79 \\81 & & 83\\&&85\end{array}$$ At α = 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.

---

Definitions:

Prevent Bias

Strategies or practices aimed at identifying and eliminating personal, cultural, and structural prejudices that can affect decision-making and outcomes.

Larger Sample

Refers to a more substantial portion or quantity of items or individuals selected from a population, used in research to increase the representativeness and accuracy of results.

Generalizable

The quality of research findings being applicable to larger groups or situations beyond the specific contexts in which the research was conducted.

Research Design

Research design is the framework or strategy for a study that guides the collection and analysis of data to address specific research questions.