A Dean of Students Conducted a Survey to Test the Claim

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.