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 25 25 0.41 0.53 0.67 1.47 . Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a cham treatment. What are the null and altenative hypotheses? OA H OD H H "P The test statistic, tis 037. (Round to two decimal places as needed) The Pvalue is 0356. (Round to three decimal places as needed)

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Hw3 help with section B
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.
25
25
0.53
0.41
0.67
1.47
a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.
What are the null and alternative hypotheses?
B. H P2
H, P2
OA He 2
OC. He "P2
H Va
OD. H:P P2
The test statistic, t is 0.37. (Round to two decimal places as needed)
The Pvalue is 0.356. (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?
for those treated with magnets is greater than the sample mean for those given a sham treatment, it is valid to argue
Since the
sample mean
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.
(Round to three decimal places as needed)
Transcribed Image Text: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. 25 25 0.53 0.41 0.67 1.47 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? B. H P2 H, P2 OA He 2 OC. He "P2 H Va OD. H:P P2 The test statistic, t is 0.37. (Round to two decimal places as needed) The Pvalue is 0.356. (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? for those treated with magnets is greater than the sample mean for those given a sham treatment, it is valid to argue Since the sample mean 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. (Round to three decimal places as needed)
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