Preliminary Data Analyses Indicate That You Can Reasonably Use Nonpooled

question 56

Essay

Preliminary data analyses indicate that you can reasonably use nonpooled t-procedures on the given data. Apply anonpooled t-test to perform the required hypothesis test, using either the critical-value approach or the P-value approachas indicated.
-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).
$\begin{array}{r|rr} \text { Female } & \text { Male } & \\ \hline 495 & 722 & 518 \\ 760 & 562 & 904 \\ 556 & 880 & 1150 \\ 904 & 520 & 805 \\ 520 & 500 & 480 \\ 1005 & 1250 & 970 \\ 743 & 750 & 605 \end{array}$
At the $5 \%$ significance level, do the data provide sufficient evidence to conclude that at this company the mean salary of female employees is less than the mean salary of male employees? Use the critical-value approach. (Note: $\bar { x } _ { 1 } = 705.375 , \bar { x } _ { 2 } = 817.067 , \mathrm {~s} _ { 1 } = 183.855 , \mathrm {~s} _ { 2 } = 330.146 .$

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