Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 44

Essay

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?

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Definitions:

Torque

Twisting force. Measured in pound-feet (lb-ft.) of applied force.

Spinout

A condition where a vehicle's wheels lose traction and spin without propelling the vehicle forward, often due to slippery conditions or excessive acceleration.

Hypoid Gear

A type of gear with offset axes of the pinion and gear, allowing for more efficient power transfer and compact design in automotive differentials.

Spiral Bevel Gear

Helical gear set arrangement that has a drive pinion mesh with a crown gear at the radial centerline of the gear.