Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 37

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 salaries of female and male employees at a particular company. Independent simple random samples of 8 female employees and 15 male employees yielded the following weekly salaries (in dollars).
$\begin{array}{r|rr} \text { Female } & \text { Male } & \\ \hline 495 & 722 & 518 \\ 760 & 562 & 904 \\ 556 & 880 & 1150 \\ 904 & 520 & 805 \\ 520 & 500 & 480 \\ 1005 & 1250 & 970 \\ 743 & 750 & 605 \\ 660 & 1640 & \end{array}$
At the $5 \%$ significance level, do the data provide sufficient evidence to conclude that at this particular company the mean salary of female employees is less than the mean salary of male employees? Use the critical-value approach. (Note: $\bar { x } _ { 1 } = 705.375 , \bar { x } _ { 2 } = 817.067$ , s1 = $183.855 , \mathrm {~s} _ { 2 } = 330.146$ .)

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