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?

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