b. Construct the 95%confidence interval estimate of the mean pain score for pati
ID: 3233222 • Letter: B
Question
b. Construct the 95%confidence interval estimate of the mean pain score for patients given the sham treatment.
First calculate E, rounding to three decimal places.
c. Compare the results. Does the treatment with magnets appear to be effective?
Homework: Section 7.3 Homework Save Score 0 of 1 pt HW Score: 71.79%, 9.33 of 13 pts 10 of 13 (11 complete) E Question Help X 7.3.23 In a study designed to test the effectiveness of magnets for treating back pain, 40 patients were given a treatment with magnets and also a sham treatment without magnets. Pain was measured using a scale from 0 (no pain) to 100 (extreme pain). After given the magnet treatments, the 40 patients had pain scores with a mean of 7.0 and a standard deviation of 2.3. After being given the sham treatments, the 40 patients had pain scores with a mean of 5.4 and a standard deviation of 2.6. Complete parts (a) through (c) below. Click here to view a t distribution table Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table a. Construct the 90% confidence interval estimate of the mean pain score for patients given the magnet treatment What is the confidence interval estimate of the population mean H? (Round to one decimal place as needed.)Explanation / Answer
Answer:
a).
90% CI = (6.4, 7.6)
Confidence Interval Estimate for the Mean
Data
Sample Standard Deviation
2.3
Sample Mean
7
Sample Size
40
Confidence Level
90%
Intermediate Calculations
Standard Error of the Mean
0.363661931
Degrees of Freedom
39
t Value
1.6849
Interval Half Width
0.6127
Confidence Interval
Interval Lower Limit
6.39
Interval Upper Limit
7.61
b).
b. Construct the 95%confidence interval estimate of the mean pain score for patients given the sham treatment.
First calculate E, rounding to three decimal places.
E=0.832
95% CI = (4.568, 6.232)
c. Compare the results. Does the treatment with magnets appear to be effective?
The two confidence intervals shows that treatment with magnets appear to be not effective.
Confidence Interval Estimate for the Mean
Data
Sample Standard Deviation
2.6
Sample Mean
5.4
Sample Size
40
Confidence Level
95%
Intermediate Calculations
Standard Error of the Mean
0.411096096
Degrees of Freedom
39
t Value
2.0227
Interval Half Width
0.832
Confidence Interval
Interval Lower Limit
4.568
Interval Upper Limit
6.232
Confidence Interval Estimate for the Mean
Data
Sample Standard Deviation
2.3
Sample Mean
7
Sample Size
40
Confidence Level
90%
Intermediate Calculations
Standard Error of the Mean
0.363661931
Degrees of Freedom
39
t Value
1.6849
Interval Half Width
0.6127
Confidence Interval
Interval Lower Limit
6.39
Interval Upper Limit
7.61
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