A Researcher Was Interested in Comparing the Salaries of Female

question 36

Essay

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). $$\begin{array} { r | r r } \text { Female } & \text { Male } & \\\hline 495 & 722 & 518 \\760 & 562 & 904 \\556 & 880 & 1150 \\904 & 520 & 805 \\520 & 500 & 480 \\1005 & 1250 & 970 \\743 & 750 & 605 \\660 & 1640 &\end{array}$$ 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 $\text { t-test }$ at the 5% significance level.

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Definitions:

French Gothic

An architectural style that evolved in France in the 12th century, characterized by pointed arches, ribbed vaults, and flying buttresses.

Salisbury Cathedral

A historic Anglican cathedral in Salisbury, England, known for having the tallest church spire in the UK and its early English Gothic architecture.

Pointed Arches

An architectural element characteristic of Gothic style, featuring arches with pointed apexes, which allowed for higher structures and larger windows.

Naumburg Master

A term used to describe an unidentified German sculptor or group of sculptors of the 13th century, famous for their work in the Naumburg Cathedral.