w-Treatment Patie

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4CYU
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A researcher conducted a study to determine whether a new type of phys- ical therapy would help people recovering from knee injuries. The study included 10 patients, and 5 physical therapists.

The researcher decided to conduct the experiment using a matched pairs design, as follows: Two patients were (randomly) assigned to each physical therapist. Then, one of the two patients was randomly chosen to receive the new treatment, while the other received the old treatment.

After one week, the researcher measured each patient’s improvement in range of motion (ROM), in degrees (◦).

(a) Describe the benefit of conducting a matched pairs experiment in this way.

(b) The table/image attached to this question shows the data obtained from this experiment:

By hand, carry out a t-test to see if the mean difference in ROM improvements between the two treatments (New minus Old) is greater than zero.

Physical Therapist #
ROM Improvement
for New-Treatment Patient (°)
ROM Improvement for Old-Treatment Patient (°)
1
21
19
2
3
4
11 49 34
15
5
32
35 29 30
Transcribed Image Text:Physical Therapist # ROM Improvement for New-Treatment Patient (°) ROM Improvement for Old-Treatment Patient (°) 1 21 19 2 3 4 11 49 34 15 5 32 35 29 30
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