Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 97

Essay

Preliminary data analyses indicate that you can reasonably consider the assumptions for using pooled t-proceduressatisfied. Perform the required hypothesis test by using either the critical-value approach or the P-value approach asindicated.
-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 13 students from college B yielded the following GPAs. $$\begin{array} { r | r } \text { College A } & \text { College B } \\ \hline 3.7 & 3.82 .8 \\ 3.2 & 3.24 .0 \\ 3.0 & 3.03 .6 \\ 2.5 & 3.92 .6 \\ 2.7 & 3.84 .0 \\ 3.6 & 2.53 .6 \\ 2.8 & 3.9 \\ 3.4 & \end{array}$$ 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? Use the critical-value approach. $\left( \text { Note: } \bar { x } _ { 1 } = 3.1125 , \bar { x } _ { 2 } = 3.4385 , s _ { 1 } = 0.4357 , s _ { 2 } = 0.5485 . \right)$

---

Definitions:

Information Sharing

The exchange of data, knowledge, and insights among members of a group or organization to facilitate collaboration and decision-making.

Hidden Profiles

A situation in decision-making groups where shared information is overemphasized while unique, critical information held by individuals is underutilized.

Work Ethic

The belief in the value of hard work and its ability to enhance character, often considered a virtue in various cultural and organizational contexts.

Coch and French

Researchers known for their study on worker participation in management decisions, highlighting the importance of involving employees in organizational change processes.