A Dean of Students Conducted a Survey to Test the Claim

question 39

Essay

A Dean of Students conducted a survey to test the claim that women spend more time visiting the STEM lab
than men do. A survey was administered to a simple random sample of 15 female student volunteers and 12
male volunteers that asked, "How many minutes have you spent in the STEM lab this semester?" The results are
shown below. $$\begin{array} { | c | c | } \hline \hline \text { Women } & \text { Men } \\\hline 180 & 220 \\\hline 150 & 120 \\\hline 180 & 45 \\\hline 60 & 15 \\\hline 90 & 30 \\\hline 0 & 80 \\\hline 75 & 10 \\\hline 60 & 90 \\\hline 240 & 180 \\\hline 80 & 90 \\\hline 120 & 60 \\\hline 180 & 280 \\\hline 90 & \\\hline 60 & \\\hline 45 & \\\hline\end{array}$$ Test the claim at the 1% level of significance. Assume that the number of minutes that women and men spent in
the STEM lab is normally distributed. Do not assume that the population standard deviations are equal. Include
your null and alternative hypotheses, the test statistic, P-value or critical value(s), conclusion about the null
hypothesis, and conclusion about the claim in your answer.

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Definitions:

Worthiness

The quality of being good enough; the quality of deserving attention, time, or effort.

Effectiveness

The degree to which something is successful in producing a desired result or outcome, often measured by comparing outputs against intended goals.

Training Evaluations

The process of assessing the effectiveness of training programs and initiatives to ensure they meet their objectives and contribute to performance improvement.

Return On Investment (ROI)

A calculation used to assess the efficiency of an investment, including training, by comparing the benefit received to the cost.