Math  /  Data & Statistics

QuestionA teaching assistant collected data from students in one of her classes to investigate whether study time per week (average number of hours) differed between students in the class who planned to go to graduate school and those who did not. Complete parts (a) through (c).
Click the icon to view the data. s1=8.22s_{1}=8.22 (Round to the nearest hundredth as needed.) Find the standard deviation for students who did not plan to go to graduate school. s2=3.35s_{2}=3.35 (Round to the nearest hundredth as needed.) Interpret these values. A. The sample mean was higher for the students who planned to go to graduate school, but the tir B. The sample mean was lower for the students who planned to go to graduate school, but the tim C. The sample mean was lower for the students who planned to go to graduate school, but the tim D. The sample mean was higher for the students who planned to go to graduate school, but the tir Print
Data table \begin{tabular}{|c|} \hline Fraduate school: 17,7,15,10,5,5,2,3,12,16,15,35,817,7,15,10,5,5,2,3,12,16,15,35,8, \\ 14,10,19,3,26,15,5,514,10,19,3,26,15,5,5 \end{tabular} b. Find the standard error for the difference between the sample means. Interpret.
Find the standard error for the difference between the sample means. se=2.08s e=2.08 (Round to the nearest hundredth as needed.) Interpret this value. A. If further random samples of these sizes were obtained from these populations, the differences between the sample means would vary. The standard deviation of these values for ( xˉ1xˉ2)\left.\bar{x}_{1}-\bar{x}_{2}\right) would equal about 2.1. B. If further random samples of these sizes were obtained from these populations, the differences between the sample means would not vary. The value of ( xˉ1xˉ2)\left.\bar{x}_{1}-\bar{x}_{2}\right) would equal about 2.1 . C. If further random samples of these sizes were obtained from these populations, the differences between the sample means would vary. The standard deviation of these values for ( xˉ1xˉ2)\left.\bar{x}_{1}-\bar{x}_{2}\right) would equal about 4.2 .

Studdy Solution
The standard deviation for students planning to go to graduate school is approximately **8.01 hours**.
This indicates a significant variation in study time among these students.

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