Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 66

Essay

Preliminary data analyses indicate that you can reasonably consider the assumptions for using the Mann-Whitney testsatisfied. Assume that the null hypothesis is $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ . Use the Mann-Whitney test to carry out the requiredhypothesis test.
-A researcher was interested in comparing the GPAs of students at two different colleges. Independent simple random samples of 8 students from college A and 9 students from college B yielded the following GPAs. $\begin{array} { r | r } \text { College A College B } \\ \hline 2.8 & 3.6 \\ 3.2 & 3.9 \\ 3.7 & 3.3 \\ 2.5 & 4.0 \\ 2.6 & 3.8 \\ 3.0 & 2.9 \\ 4.0 & 3.6 \\ 2.7 & 4.0 \\ & 3.5 \end{array}$
At the 10% significance level, do the data provide sufficient evidence to conclude that the mean GPA of students at college A differs from the mean GPA of students at college B?

---

Definitions:

Domestic Labour

The work carried out in the home, such as cleaning, cooking, and childcare, often undervalued in economic assessments.

Sandwich Generation

A generation of people who are caring for their aging parents while supporting their own children, often juggling financial and time responsibilities.

Role Strain

Stress or tension experienced by an individual when facing competing demands or expectations within the same social role.

Social Reproduction

The process by which societies have structural continuity over time, ensuring the transmission of norms, values, and social practice from one generation to another.