Treatment Sham Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. H2 10 10 0.49 0.39 0.65 1.38 U D. TIO: P1- 12 The test statistic, t, is 0.21. (Round to two decimal places as needed.) The P-value is 0.419. (Round to three decimal places as needed.) State the conclusion for the test. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? Since the sample mean for those treated with magnets is greater than the sample mean for those given a sham treatment, it is valid to argue that magnets might appear to be effective if the sample sizes are larger. b. Construct a confidence interval suitable for testing the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. -0.913

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Treatment
Sham
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the
treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two
samples are independent simple random samples selected from normally distributed populations, and do not assume that the population
standard deviations are equal. Complete parts (a) and (b) below.
H2
In
10
10
0.49
0.39
IS
0.65
1.38
U D. TIO: H1 - H2
H,: H1 > H2
The test statistic, t, is 0.21. (Round to two decimal places as needed.)
The P-value is 0.419 . (Round to three decimal places as needed.)
State the conclusion for the test.
Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than
those given a sham treatment.
Is it valid to argue that magnets might appear to be effective if the sample sizes are larger?
Since the
sample mean
for those treated with magnets is greater than the sample mean for those given a sham treatment, it
is
valid to argue
that magnets might appear to be effective if the sample sizes are larger.
b. Construct a confidence interval suitable for testing the claim that those treated with magnets have a greater mean reduction in pain than those given a sham
treatment.
- 0.913 <H1 - H2 < 1.113
(Round to three decimal places as needed.)

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