5) Ultrasound is often used to treat soft tissue injuries of the knee. The range of motion of 7 randomly selected subjects was measured both before and after the ultrasound treatment was applied. Subject 1 2 3 4 5 6 7 Pre treatment 31 53 45 57 50 43 32 Post treatment 32 59 46 64 49 45 40 Find the difference between the pre-treatment and post-treatment for each subject. [For example, for subject 1, the difference is 31 – 32 = -1 ] a) Find the sample mean and standard deviation of the difference, called μd. b) Use the matched pair design to determine whether the mean difference, μd, is less than zero. Use α = .05. [Note: if μd < 0, then this would imply that the pre-treatment measurement is less than the post-treatment measurement]
5) Ultrasound is often used to treat soft tissue injuries of the knee. The
|
Subject |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
Pre treatment |
31 |
53 |
45 |
57 |
50 |
43 |
32 |
|
Post treatment |
32 |
59 |
46 |
64 |
49 |
45 |
40 |
Find the difference between the pre-treatment and post-treatment for each subject. [For example, for subject 1, the difference is 31 – 32 = -1 ]
a) Find the sample mean and standard deviation of the difference, called μd.
b) Use the matched pair design to determine whether the mean difference, μd, is less than zero. Use α = .05. [Note: if μd < 0, then this would imply that the pre-treatment measurement is less than the post-treatment measurement]
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