student 1 3 4 5 7 8 before 15 14 17 17 19 14 13 16 , after 9 9. 11 10 19 10 14 10 It has been determined that the more students work in the middle of the semester for a mid-level macroeconomics course, the more they reduce their study time in the following semester. 8 students who successfully passed the midterm exam were selected randomly and their performances before and after the exam were compared. The results are given in Table. Suppose the performance differences are normal is distributed. a) In order to understand whether there is a difference between the pre-exam and post-exam study times, form the null hypothesis and its alternative. b) Perform the tests at the significance levels a = 0.10, a 0.05 and a = 0.01. Does the population mean change according to the working period? Decide.

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student
1
2
3
4
5
7
8
before
15
14
17
17
19
14
13
16
after
9
9.
11
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It has been determined that the more students work in the middle of the semester for a mid-level macroeconomics course,
the
more they reduce their study time in the following semester. 8 students who successfully passed the midterm exam were selected
randomly and their performances before and after the exam were compared. The results are given in Table. Suppose the
performance differences are normal
is distributed.
a) In order to understand whether there is a difference between the pre-exam and post-exam study times, form the null hypothesis
and its alternative.
b) Perform the tests at the significance levels a = 0.10, a = 0.05 and a = 0.01. Does the population mean change according to the
working period? Decide.
Transcribed Image Text:student 1 2 3 4 5 7 8 before 15 14 17 17 19 14 13 16 after 9 9. 11 10 19 10 14 10 It has been determined that the more students work in the middle of the semester for a mid-level macroeconomics course, the more they reduce their study time in the following semester. 8 students who successfully passed the midterm exam were selected randomly and their performances before and after the exam were compared. The results are given in Table. Suppose the performance differences are normal is distributed. a) In order to understand whether there is a difference between the pre-exam and post-exam study times, form the null hypothesis and its alternative. b) Perform the tests at the significance levels a = 0.10, a = 0.05 and a = 0.01. Does the population mean change according to the working period? Decide.
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