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. n 17 17 0.56 0.42 0.93 1.27 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? OA. Hai H, H2 OB. H, H, "2 H: H H2 OD. Ho: H "H2 OC. Hg: H "P2 H,: H2 The test statistic, t, is (Round to two decimal places as needed.) The P.value is O (Round to three decimal places as needed.) State the conclusion for the test. the null hypothesis. There than those given a sham treatment. sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? for those treated with magnets is that magnets might appear to be effective if the sample sizes are larger. the sample mean for those given a sham treatment, it Since the valid to argue 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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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.
P2
n
17
17
0.56
0.42
0.93
1.27
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?
O A. H H, <H2
B. H H =H2
OC. Ho: H, "P2
OD. Ho: P = H2
The test statistic, t, is (Round to two decimal places as needed.)
The P-value is. (Round to three decimal places as needed.)
State the conclusion for the test.
the null hypothesis. There
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
for those treated with magnets is
the sample mean for those given a sham treatment, it
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.
(Round to three decimal places as needed.)
Transcribed Image Text:Question Help 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. P2 n 17 17 0.56 0.42 0.93 1.27 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? O A. H H, <H2 B. H H =H2 OC. Ho: H, "P2 OD. Ho: P = H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) State the conclusion for the test. the null hypothesis. There 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 for those treated with magnets is the sample mean for those given a sham treatment, it 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. (Round to three decimal places as needed.)
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