Use this file to type your responses. Submit this file in the Week Five Quiz Drop Box no later than Saturday, midnight. Use Excel to compute responses. Refer to the tutorial in this week’s content.
- At an office of transcription workers at a large hospital, it is common for a transcriber to type without a break for up to 3 hours. It was decided to test the effects of ergonomically designed work stations (i.e., properly adjusted and fitted office chairs, adjustable computer keyboards, and wrist rests) on the length of time before feeling uncomfortable or fatigued in the upper extremities, neck, and back. Two groups of ten employees were recruited. One group was given the ergonomically designed workstations and the other group used the existing non-ergonomically designed workstations. All were followed for five working days and asked to note when they began to feel uncomfortable or fatigued. The data below represent the time it took (in minutes) for each subject to report feeling uncomfortable in the upper extremities, averaged over the five days.
Ergonomic Work Station (Group A) Non-Ergonomic Work Station (Group B)
35 32
37 35
38 29
28 25
41 34
27 35
31 32
35 31
44 40
38 25
Report the following: ( Round to two decimal places)
- Group A Mean:
- Group B Mean:
- Group A Standard Deviation:
- Group B Standard Deviation:
What specific statistical analysis did you run to compare these means?
Assume equal variances. What was the two-tailed p-value? Is it statistically significant?
State the null hypothesis. Would you accept or reject it?
- You work in a setting with individuals who have sports related injuries. You are interested in determining if icing with elevation is an effective treatment in reducing swelling following an ankle sprain. You’ve recruited 12 individuals with ankle sprains and pretested for edema using a tape measure to give an ankle circumference score in mm. After 2 days, measurements were recorded again. The data are as follows:
| Pre | Post |
| 100 | 89 |
| 99 | 79 |
| 113 | 103 |
| 97 | 90 |
| 109 | 103 |
| 102 | 96 |
| 109 | 82 |
| 101 | 92 |
| 115 | 107 |
| 96 | 98 |
| 94 | 78 |
| 108 | 93 |
Report the following: (Round to two decimal places)
- Pre Treatment Mean:
- Post Treatment Mean:
- Pre Treatment Standard Deviation:
- Post Treatment Standard Deviation:
What specific statistical analysis did you run to compare these means?
What was the p-value? Is it statistically significant?
State the null hypothesis. Would you accept or reject it?
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- In a clinic, patients are commonly seen with frozen shoulder syndrome, a painful condition limiting active and passive range of motion. To investigate effectiveness of treatments, you and your colleagues randomly assign patients to one of three treatment conditions: Steroid injections, PT-led exercises and a group receiving both. The data below represent goniometer measurements in degrees of shoulder abduction for 10 patients in each treatment group.
| Steroid Injections (1) | Physical Therapy (2) | Both (3) |
| 35 | 42 | 50 |
| 45 | 47 | 60 |
| 56 | 22 | 46 |
| 66 | 75 | 90 |
| 72 | 60 | 75 |
| 65 | 80 | 79 |
| 76 | 50 | 80 |
| 55 | 76 | 100 |
| 124 | 126 | 125 |
| 102 | 171 | 178 |
Report the following: (Round to two decimal places)
- Group 1 Mean:
- Group 2 Mean:
- Group 3 Mean:
- Group 1 Standard Deviation:
- Group 2 Standard Deviation:
- Group 3 Standard Deviation:
What specific statistical analysis did you run to compare these means?
What was the p-value? Is it statistically significant?
State the null hypothesis. Would you accept or reject it?
Muddiest point: For me, the most difficult or confusing part of this week’s lesson was:
