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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Definitions:

Landscape Genetics

An interdisciplinary field that combines landscape ecology and population genetics to study the effects of the environment on the genetic variation of species.

Evolution

The mechanism by which diverse species of organisms are considered to have emerged and varied from their predecessors over the course of the Earth's history.

Genetic Drift

A mechanism of evolution that causes allele frequencies to change randomly over time due to chance events.

Mutation

A permanent alteration in the DNA sequence that makes up a gene, leading to variability within populations and potentially to new traits or diseases.