Question
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 |
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Essentials of Business Law
Authors: Anthony Liuzzo
9th edition
007802319X, 978-0078023194
