T Test for muscle tension A graduate researcher at the department of kinesiology is measuring the effects of stretching on the calves of athletes Using specialized equipment, he can isolate the muscle tension on the calves of athletes before, during and after a specific exercise He collected 31 samples of athletes repeating the exercise with stretching and without The dataset Tension Create a dataset that contains only the variables During (tension without stretching) and During S (tension with stretching) Call this set TensionD Compute the summary statistics for the two variables and include their boxplots The researcher believes that the tension changes if one stretches but does not know if it will increase or decrease Formulate his question with a hypothesis test Describe what your null and alternative hypothesis is What is the appropriate t test and why Compute and the corresponding p value using SAS or R What is the verdict Make sure you translate your decision back into a reasonable response for him Tension dataset Before During After Before S During S After S 12 26667 13 96667 12 6 15 66667 17 06667 15 73333 18 66667 20 19 76667 20 56667 25 2 21 73333 16 4 17 06667 16 6 6 433333 7 7 5 866667 33 23333 39 2 32 66667 25 63333 36 8 27 93333 10 5 16 8 9 233333 18 2 25 63333 18 5 11 33333 15 33333 10 73333 22 4 25 76667 22 3 18 73333 20 23333 19 06667 30 26667 31 93333 28 5 23 56667 25 86667 24 83333 22 2 25 16667 24 2 14 86667 25 6 13 2 20 26667 25 43333 22 73333 15 2 17 03333 15 56667 13 56667 15 5 13 4 9 5 10 2 10 2 20 13333 23 16667 21 8 16 66667 17 2 16 2 15 2 16 4 15 23333 33 33333 37 03333 34 16667 21 6 23 43333 21 6 35 3 39 06667 36 06667 49 8 53 4 49 5 25 46667 29 9 25 9 22 96667 26 3 21 86667 21 76667 28 66667 22 2 35 53333 53 26667 36 7 24 23333 30 83333 24 9 22 83333 31 6 22 36667 29 03333 30 33333 29 13333 30 5 34 96667 30 73333 15 36667 17 26667 15 23333 16 83333 20 7 17 33333 17 16667 18 83333 17 43333 14 56667 35 23333 13 36667 18 7 21 86667 18 26667 31 1 36 2 31 76667 13 4 15 3 13 1 13 73333 15 26667 13 66667 13 19 23333 12 16667 17 43333 30 76667 17 73333 29 93333 30 43333 28 6 18 03333 20 7 18 1 22 3 23 2 22 16667 32 23333 32 23333 32 1 37 73333 47 1 37 73333 48 76667 55 63333 48 96667 19 06667 23 8 19 2 14 5 16 86667 13 86667 19 63333 25 53333 20 8 19 13333 23 76667 19 83333 23 66667 27 56667 23 26667 26 27 86667 25 76667 10 96667 17 66667 10 93333 14 2 16 3 14 33333 12 36667 15 16667 12 23333 13 33333 13 86667 13 2

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T-Test for muscle tension: A graduate researcher at the department of kinesiology is measuring the effects of stretching on the calves of athletes. Using specialized

T-Test for muscle tension:A graduate researcher at the department of kinesiology is measuring the effects of stretching on the calves of athletes. Using specialized equipment, he can isolate the muscle tension on the calves of athletes before, during and after a specific exercise. He collected 31 samples of athletes repeating the exercise with stretching and without. The dataset "Tension"

Create a dataset that contains only the variables During (tension without stretching) and During_S (tension with stretching). Call this set TensionD
Compute the summary statistics for the two variables and include their boxplots.
The researcher believes that the tension changes if one stretches but does not know if it will increase or decrease. Formulate his question with a hypothesis test. Describe what your null and alternative hypothesis is.
What is the appropriate t-test and why?
Compute and the corresponding p value using SAS or R. What is the verdict? Make sure you translate your decision back into a reasonable response for him.

Tension dataset

Before	During	After	Before_S	During_S	After_S
12.26667	13.96667	12.6	15.66667	17.06667	15.73333
18.66667	20	19.76667	20.56667	25.2	21.73333
16.4	17.06667	16.6	6.433333	7.7	5.866667
33.23333	39.2	32.66667	25.63333	36.8	27.93333
10.5	16.8	9.233333	18.2	25.63333	18.5
11.33333	15.33333	10.73333	22.4	25.76667	22.3
18.73333	20.23333	19.06667	30.26667	31.93333	28.5
23.56667	25.86667	24.83333	22.2	25.16667	24.2
14.86667	25.6	13.2	20.26667	25.43333	22.73333
15.2	17.03333	15.56667	13.56667	15.5	13.4
9.5	10.2	10.2	20.13333	23.16667	21.8
16.66667	17.2	16.2	15.2	16.4	15.23333
33.33333	37.03333	34.16667	21.6	23.43333	21.6
35.3	39.06667	36.06667	49.8	53.4	49.5
25.46667	29.9	25.9	22.96667	26.3	21.86667
21.76667	28.66667	22.2	35.53333	53.26667	36.7
24.23333	30.83333	24.9	22.83333	31.6	22.36667
29.03333	30.33333	29.13333	30.5	34.96667	30.73333
15.36667	17.26667	15.23333	16.83333	20.7	17.33333
17.16667	18.83333	17.43333	14.56667	35.23333	13.36667
18.7	21.86667	18.26667	31.1	36.2	31.76667
13.4	15.3	13.1	13.73333	15.26667	13.66667
13	19.23333	12.16667	17.43333	30.76667	17.73333
29.93333	30.43333	28.6	18.03333	20.7	18.1
22.3	23.2	22.16667	32.23333	32.23333	32.1
37.73333	47.1	37.73333	48.76667	55.63333	48.96667
19.06667	23.8	19.2	14.5	16.86667	13.86667
19.63333	25.53333	20.8	19.13333	23.76667	19.83333
23.66667	27.56667	23.26667	26	27.86667	25.76667
10.96667	17.66667	10.93333	14.2	16.3	14.33333
12.36667	15.16667	12.23333	13.33333	13.86667	13.2