A 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).
Full data set:
Graduate school:
16,
7,
15,
10,
5,
5,
2,
3,
12,
16,
15,
37,
8,
14,
10,
18,
3,
23,
15,
5,
5
No graduate school:
6,
8,
13,
6,
5,
14,
10,
10,
11,
5
a. Find the sample mean and standard deviation for each group. Interpret.
Find the sample mean for students who planned to go to graduate school.
x1 =
Find the sample mean for students who did not plan to go to graduate school.
x2 =
Find the standard deviation for students who planned to go to graduate school.
s1 =
Find the standard deviation for students who did not plan to go to graduate school.
s2 =
Find the standard error for the difference between the sample means.
se =
c. Find a 95% confidence interval comparing the population means. Interpret.
Find a 95% confidence interval comparing the population means.
The 95% confidence interval for μ1 - μ2 is ( , ).
(Round to the nearest tenth as needed.)