Determine Whether the Samples Are Independent or Dependent Use a 005 Significance Level to Test the Claim That the Mean

question 180

Essay

Determine whether the samples are independent or dependent.
-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). $$\begin{array} { | r | r r | } \hline \text { Female } & \text { Male } & \\\hline 495 & 722 & 518 \\760 & 562 & 904 \\556 & 880 & 1150 \\904 & 520 & 805 \\520 & 500 & 480 \\1005 & 1250 & 970 \\743 & 750 & 605 \\660 & 1640 & \\\hline\end{array}$$ Use a 0.05 significance level to test the claim that the mean salary of female employees is less than the mean
salary of male employees. Use the traditional method of hypothesis testing. $$\text { (Note: } \left. \bar { x } _ { 1 } = \$ 705.375 , \bar { x } _ { 2 } = \$ 817.067 , \mathrm {~s} _ { 1 } = \$ 183.855 , \mathrm {~s} _ { 2 } = \$ 330.146 . \right)$$

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Definitions:

Poisson Distribution

A statistical distribution that predicts the probability of a given number of events occurring in a fixed interval of time or space.

Probability

A measure expressing the likelihood of a specific event occurring, typically ranging from 0 (impossible) to 1 (certain).

Calls

Telecommunication interactions involving the exchange of voice messages over distances.

Success Rate

The proportion or percentage of attempts that result in success, often used to measure the effectiveness of a procedure or activity.