A Dean of Students Conducted a Survey to Test the Claim

question 28

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. $$\begin{array} { | c | c | } \hline \text { Women } & \text { Men } \\\hline 180 & 220 \\\hline 150 & 120 \\\hline 180 & 45 \\\hline 60 & 15 \\\hline 90 & 30 \\\hline 0 & 80 \\\hline 75 & 10 \\\hline 60 & 90 \\\hline 240 & 180 \\\hline 80 & 90 \\\hline 120 & 60 \\\hline 180 & 280 \\\hline 90 & \\\hline 60 & \\\hline 45 & \\\hline\end{array}$$ 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:

Hand-Finished Furniture

Furniture that has undergone final finishing touches by hand to enhance quality or aesthetics.

Learning Curve

The concept that people become more efficient and effective at a task over time, with the rate of improvement decreasing as experience accumulates.

Assembly Time

The total time taken to put together the components of a product, crucial in manufacturing for planning, efficiency improvement, and cost estimation.

Learning Percentage

Refers to the rate at which learning or improvement occurs over time, often applied in the context of labor efficiency and cost reduction.