Asked by Ilaria Catalani on Jul 11, 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 15 male employees (sample 2)yielded the following weekly salaries (in dollars). Female Male 4957225187605629045568801150904520805520500480100512509707437506056601640\begin{array} { r | r r } \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} Female 4957605569045201005743660 Male 722562880520500125075016405189041150805480970605 Do the data provide sufficient evidence to conclude that the mean salary of women at this company is less than the mean salary of men at the company? Perform a t-test \text { t-test } t-test at the 5% significance level.
Weekly Salaries
The amount of money a person earns per week from their employment.
Female Employees
Female employees are women engaged in work for an organization or business, encompassing a wide range of roles and industries.
Male Employees
Workers identified as male within an organization or workplace.
- Master the application of hypothesis testing in the comparison of means among two groups.
- Discern and explicate the roles of t-tests and significance levels in the analysis of hypotheses.
- Utilize hypothesis testing in practical applications within different areas, including science, business, and health.
Verified Answer
FA
Fatma AlnaaimiJul 13, 2024
Final Answer :
H0: μ1 - μ2 = 0 HA: μ1 - μ2 < 0 Test statistic: t = -1.042 P-value = 0.1549 DF = 20.89 Do not reject H0.At the 5% significance level,the data do not provide sufficient evidence to conclude that the mean salary of women at this company is less than the mean salary of men at the company.
Learning Objectives
- Master the application of hypothesis testing in the comparison of means among two groups.
- Discern and explicate the roles of t-tests and significance levels in the analysis of hypotheses.
- Utilize hypothesis testing in practical applications within different areas, including science, business, and health.
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