Problem
Question 17 2 points Sove Answer A study was done to determine if there was a difference in the mean final exam grades for students that took a class online versus students that took the same class in person. (Note: let's assume the students are given the same exam). A sample of 50 students that took the class online was collected and a different sample of 75 students that took the class in person was collected with no matching done between the groups. The following StatCrunch output was generated using the data collected. Note: $\mu_{1}=$ population mean final exam grade for online students Note: $\mu_{2}=$ population mean final exam grade for in-person students $\mathbf{9 5} \%$ confidence interval results: \begin{tabular}{|l|l|l|l|l|l|} \hline Difference & Sample Diff & Std. Err. & DF & L. Limit & U. Limit \\ \hline$a_{1}-\mu_{2}$ & -3 & 0.61 & 65.49 & -4.22 & -1.78 \\ \hline \end{tabular} Based on the confidence interval, which population mean appears to be higher? Population mean final exam grade for in-person students Population mean final exam grade for onlite students It cannot be determined based on the information given Moving to the next question prevents changes to this answer. Question 17 of 35
Solution
Step 1 ：The question is asking which population mean appears to be higher based on the confidence interval.
Step 2 ：The confidence interval is given as -4.22 to -1.78.
Step 3 ：This interval is calculated as the difference between the mean of the online students and the mean of the in-person students.
Step 4 ：Since the interval is negative, this means that the mean of the online students is less than the mean of the in-person students.
Step 5 ：Therefore, the population mean final exam grade for in-person students appears to be higher.
Step 6 ：\(\boxed{\text{The population mean final exam grade for in-person students appears to be higher.}}\)
