(All Steps) A researcher was interested in comparing the salaries of female and male employees at a particular company. Independent simple random samples


Question: 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).

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? \(\left(\right.\) Note: \(\left.\bar{x}_{1}=705.375, \bar{x}_{2}=817.067, s_{1}=183.855, s 2=330.146 .\right)\)

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