Question
The exercise data consist of the baseline and six-week (final) measures of quadriceps isometric force for 60 men aged 60 to 75 that were randomly
The exercise data consist of the baseline and six-week (final) measures of quadriceps isometric force for 60 men aged 60 to 75 that were randomly assigned to either resistance only or running only exercise programs.
Reference:
This data set is simulated. The study design is based on an unpublished study carried out at Creighton University in 2013.
- Provide an appropriate graph to examine the distribution of baseline versus final leg strength for the two groups. What do you notice, is there a clear difference in the average leg strength increase for each group?
- Write out the hypotheses appropriate for the following research question: is either exercise program more beneficial (in regards to leg strength) than the other?
(Hint: Create a new variable that is the difference between baseline and final strength. Then test for equality of means between groups.)
- What is the conclusion of the hypothesis test?
- What type of error might we have committed? Explain.
- Based on the results of this hypothesis test, would you expect a confidence interval for the difference in average scores between groups to include 0? Explain your reasoning.
| Subj | Group | Bl_strength | Final_strength |
| 1 | 0 | 123.1346 | 92.7639 |
| 2 | 0 | 159.9575 | 263.276 |
| 3 | 0 | 97.3999 | 127.9689 |
| 4 | 0 | 126.3509 | 144.5878 |
| 5 | 0 | 138.0683 | 150.3961 |
| 6 | 0 | 148.2836 | 76.20537 |
| 7 | 0 | 175.5989 | 272.8858 |
| 8 | 0 | 160.3064 | 218.4507 |
| 9 | 0 | 159.7314 | 210.3507 |
| 10 | 0 | 149.3381 | 129.2265 |
| 11 | 0 | 152.8613 | 194.0798 |
| 12 | 0 | 196.3912 | 309.8016 |
| 13 | 0 | 174.1958 | 108.3665 |
| 14 | 0 | 149.4862 | 150.6091 |
| 15 | 0 | 165.659 | 222.7415 |
| 16 | 0 | 121.5601 | 136.3381 |
| 17 | 0 | 124.5509 | 25.88888 |
| 18 | 0 | 132.0257 | 154.155 |
| 19 | 0 | 174.8757 | 255.3969 |
| 20 | 0 | 134.1917 | 134.5461 |
| 21 | 0 | 177.9153 | 260.4247 |
| 22 | 0 | 162.3925 | 242.9438 |
| 23 | 0 | 150.5176 | 200.4107 |
| 24 | 0 | 154.2241 | 139.0935 |
| 25 | 0 | 155.1621 | 167.313 |
| 26 | 0 | 142.4326 | 171.8986 |
| 27 | 0 | 114.0189 | 148.9464 |
| 28 | 0 | 129.6306 | 175.2295 |
| 29 | 0 | 180.3335 | 273.1843 |
| 30 | 0 | 132.4054 | 76.31914 |
| 31 | 1 | 160.16 | 278.1359 |
| 32 | 1 | 148.303 | 286.8642 |
| 33 | 1 | 131.795 | 216.7182 |
| 34 | 1 | 111.7709 | 191.3391 |
| 35 | 1 | 162.8573 | 326.9099 |
| 36 | 1 | 135.4196 | 214.8292 |
| 37 | 1 | 165.1646 | 293.3748 |
| 38 | 1 | 172.0009 | 99.52102 |
| 39 | 1 | 165.6609 | 255.6381 |
| 40 | 1 | 128.6114 | 167.0895 |
| 41 | 1 | 177.0135 | 374.119 |
| 42 | 1 | 144.9651 | 228.0013 |
| 43 | 1 | 135.8244 | 222.1632 |
| 44 | 1 | 144.5253 | 191.2285 |
| 45 | 1 | 169.206 | 178.3879 |
| 46 | 1 | 93.81573 | 93.47173 |
| 47 | 1 | 131.4541 | 210.7611 |
| 48 | 1 | 149.9382 | 309.0562 |
| 49 | 1 | 152.4913 | 137.9514 |
| 50 | 1 | 148.9969 | 130.4451 |
| 51 | 1 | 122.4574 | 82.34862 |
| 52 | 1 | 136.7558 | 194.9639 |
| 53 | 1 | 132.4453 | 234.4822 |
| 54 | 1 | 143.9679 | 297.4377 |
| 55 | 1 | 195.1326 | 363.265 |
| 56 | 1 | 134.1977 | 231.2396 |
| 57 | 1 | 178.7463 | 333.8813 |
| 58 | 1 | 163.3616 | 334.8952 |
| 59 | 1 | 139.9113 | 162.7781 |
| 60 | 1 | 162.8792 | 291.7016 |
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University Physics with Modern Physics
Authors: Hugh D. Young, Roger A. Freedman
14th edition
133969290, 321973615, 9780321973610, 978-0133977981
