Step 1 of 3 :   State the null and alternative hypotheses for the test. Fill in the blank below. Step 2 of 2: Compute the value of the test statistic. Round your answer to three decimal places. Step 3 of 3: Reject or fail? Is there enough evidence Please show/label everything. Including how you get the standard deviation needed to get the test statistic.I'm doing it by hand so it would be helpful to see how to do it.  Also for the test statistic please indicate if it is negative or not. Thank you so much

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 3SE: Answer the following questions. 3. When given two separate events, how do we know whether to apply...
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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 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 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 6 7 10 11 8 12 9 8 3 7 11 12
After 5 5 11 8 8 8 6 9 4 6 9 12
 
Step 1 of 3 :  
State the null and alternative hypotheses for the test. Fill in the blank below.
Step 2 of 2:
Compute the value of the test statistic. Round your answer to three decimal places.
Step 3 of 3: Reject or fail? Is there enough evidence
Please show/label everything. Including how you get the standard deviation needed to get the test statistic.I'm doing it by hand so it would be helpful to see how to do it.  Also for the test statistic please indicate if it is negative or not. Thank you so much

H0Ha: μd=0: μd⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0
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