Asked by Naderay Atefi on May 29, 2024
Verified
A researcher was interested in comparing the salaries of female and male employees of a particular company.Independent random samples of 8 female employees (sample 1)and 8 male employees (sample 2)yielded the following weekly salaries (in dollars). Female Male 495722760562556880904520540600100512507437506601640\begin{array} { l | l } \text { Female } & \text { Male } \\\hline 495 & 722 \\760 & 562 \\556 & 880 \\904 & 520 \\540 & 600 \\1005 & 1250 \\743 & 750 \\660 & 1640\end{array} Female 4957605569045401005743660 Male 72256288052060012507501640
Salaries
Payments made to employees for their services, often expressed as an annual sum.
Female Employees
Workers who identify as women, often discussed in contexts such as workplace diversity and gender equity.
Male Employees
Workers identified as male within a workplace, distinguished by sex as part of demographic or HR analyses.
- Make a distinction between paired and independent samples, and determine the suitable statistical approach to use.
- Interpret the results of statistical tests, including confidence intervals and hypothesis tests, in the context of the research question.
Verified Answer
TJ
Terrell JacksonMay 31, 2024
Final Answer :
The conditions and assumptions for inference with a paired t-test are not satisfied.There is no natural pairing in these data.We cannot pair the data simply because there is the same number of female and male employees in the sample.
Learning Objectives
- Make a distinction between paired and independent samples, and determine the suitable statistical approach to use.
- Interpret the results of statistical tests, including confidence intervals and hypothesis tests, in the context of the research question.
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