Preliminary data analyses indicate that you can reasonably consider the assumptions for using the Mann-Whitney testsatisfied. Assume that the null hypothesis is $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ . Use the Mann-Whitney test to carry out the requiredhypothesis test.
-A researcher was interested in comparing the salaries of female and male employees at a particular company. Independent simple random samples of 8 female employees and 9 male employees yielded the following weekly salaries (in dollars). $$\begin{array} { r | r } \text { Female } & \text { Male } \ \hline 495 & 480 \ 660 & 605 \ 914 & 1250 \ 743 & 722 \ 520 & 1150 \ 760 & 518 \ 1005 & 1540 \ 556 & 750 \ & 530 \end{array}$$ At the 5% significance level, do the data provide sufficient evidence to conclude that at this company the mean salary of female employees is lower than the mean salary of male employees?

Question

Preliminary data analyses indicate that you can reasonably consider the assumptions for using the Mann-Whitney testsatisfied. Assume that the null hypothesis is $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ . Use the Mann-Whitney test to carry out the requiredhypothesis test.
-A researcher was interested in comparing the salaries of female and male employees at a particular company. Independent simple random samples of 8 female employees and 9 male employees yielded the following weekly salaries (in dollars). $$\begin{array} { r | r }  \text { Female } & \text { Male } \ \hline 495 & 480 \ 660 & 605 \ 914 & 1250 \ 743 & 722 \ 520 & 1150 \ 760 & 518 \ 1005 & 1540 \ 556 & 750 \ & 530 \end{array}$$ At the 5% significance level, do the data provide sufficient evidence to conclude that at this company the mean salary of female employees is lower than the mean salary of male employees?

Quizplus · Accepted Answer

The Answer of Preliminary data analyses indicate that you can reasonably consider the assumptions for using the Mann-Whitney testsatisfied. Assume that the null hypothesis is $\mathrm { H } _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ . Use the Mann-Whitney test to carry out the requiredhypothesis test.
-A researcher was interested in comparing the salaries of female and male employees at a particular company. Independent simple random samples of 8 female employees and 9 male employees yielded the following weekly salaries (in dollars). $$\begin{array} { r | r }  \text { Female } & \text { Male } \ \hline 495 & 480 \ 660 & 605 \ 914 & 1250 \ 743 & 722 \ 520 & 1150 \ 760 & 518 \ 1005 & 1540 \ 556 & 750 \ & 530 \end{array}$$ At the 5% significance level, do the data provide sufficient evidence to conclude that at this company the mean salary of female employees is lower than the mean salary of male employees?

Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions