An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. A
Posted: Wed May 11, 2022 6:45 am
An anger-management course claims that, after completing its
seminar, participants will lose their tempers less often. Always a
skeptic, you decide to test this claim. A random sample of 12 12
seminar participants is chosen, and these participants are asked to
record the number of times that they lost their tempers in the two
weeks prior to the course. After the course is over, the same
participants are asked to record the number of times that they lost
their tempers in the next two weeks. The following table lists the
results of the survey. Using these data, test the claim at the 0.01
0.01 level of significance assuming that the population
distribution of the paired differences is approximately normal. Let
participants before completing the anger-management course be
Population 1 and let participants after completing the
anger-management course be Population 2.
Number of Times Temper Was Lost during a Two-Week Period
Before 5 11
9 9 9
4 3 10
7 7 7
11
After 4 6
9 7 9
5 4 9
8 3 5
10
Step 1 of 3:
State the null and alternative hypotheses for the test. Fill in
the blank below.
H0Ha: μd=0: μd⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0
Step 2 of 3:
Compute the value of the test statistic. Round your answer to
three decimal places.
Step 3 of 3:
Draw a conclusion and interpret the decision.
seminar, participants will lose their tempers less often. Always a
skeptic, you decide to test this claim. A random sample of 12 12
seminar participants is chosen, and these participants are asked to
record the number of times that they lost their tempers in the two
weeks prior to the course. After the course is over, the same
participants are asked to record the number of times that they lost
their tempers in the next two weeks. The following table lists the
results of the survey. Using these data, test the claim at the 0.01
0.01 level of significance assuming that the population
distribution of the paired differences is approximately normal. Let
participants before completing the anger-management course be
Population 1 and let participants after completing the
anger-management course be Population 2.
Number of Times Temper Was Lost during a Two-Week Period
Before 5 11
9 9 9
4 3 10
7 7 7
11
After 4 6
9 7 9
5 4 9
8 3 5
10
Step 1 of 3:
State the null and alternative hypotheses for the test. Fill in
the blank below.
H0Ha: μd=0: μd⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0
Step 2 of 3:
Compute the value of the test statistic. Round your answer to
three decimal places.
Step 3 of 3:
Draw a conclusion and interpret the decision.