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 23 23 0.57 0.39 0.62 1.29 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 sham treatment. What are the null and alternative hypotheses? O A. Ho: H1 " H2 OB. Ho: H1

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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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
H1
H2
23
23
deviations are equal. Complete parts (a) and (b) below.
0.57
0.39
0.62
1.29
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. Ho: H1 =H2
O B. Ho: H1 <H2
H1: H1 2 H2
H1: H1 # H2
O D. Ho: H1 # H2
OC. Ho: H1 = H2
H1: 41 > H2
H1: H1 <H2
The test statistic, t, is
(Round to two decimal places as needed.)
The P-value is 1. (Round to three decimal places as needed.)
State the conclusion for the test.
V 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
V for those treated with magnets is
V the sample mean for those given a sham treatment, it
V 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
sham treatment.
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 H1 H2 23 23 deviations are equal. Complete parts (a) and (b) below. 0.57 0.39 0.62 1.29 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. Ho: H1 =H2 O B. Ho: H1 <H2 H1: H1 2 H2 H1: H1 # H2 O D. Ho: H1 # H2 OC. Ho: H1 = H2 H1: 41 > H2 H1: H1 <H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is 1. (Round to three decimal places as needed.) State the conclusion for the test. V 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 V for those treated with magnets is V the sample mean for those given a sham treatment, it V 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 sham treatment.
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