Suppose that a random sample of 7 students who performed well on the homework was taken and weekly study times before and after the homework were compared. The resulting data are given in the table shown below. Assume that the population is normally distributed. It is known that sbefore = 3.237 and safter = 2.507.
Weekly Study in Hours of Students Who Perform Well on the Homework |
||||||||
Students |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
Before |
17 |
8 |
12 |
11 |
17 |
13 |
14 |
|
After |
10 |
8 |
9 |
10 |
15 |
13 |
9 |
|
At α = .10, test to see if students studied more time before the homework than after the homework.
Give the hypotheses:
H0:
Ha:
Give the test statistic:
Give the p-value:
Make the decision:
Give your conclusion:
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