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 22 22 0.49 0.44 1.17 0.57 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 H: H1 42 O B. H9: H1 = H2 H: H1 > H2 O C. Ho: H1 H2 O D. Ho: H1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Hi wonderful Bartleby team, I need help with this two final parts of the exercise of completing the sentence and the last part of it as well (both marked in red)

The sentence says:

-Since the (Sample Mean / Sample Standar Deviation ) for those treated with magnets is (Less than / Equal to / Greater than ) the sample mean for those given a sham​ treatment, it ( Is / Is Not ) valid to argue that magnets might appear to be effective if the sample sizes are larger.

 

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
22
In
22
0.44
1.17
0.49
0.57
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
H1: H1 H2
O B. Ho: H1 =H2
H1: H1 > H2
OC. Ho: H1 H2
O D. Ho: H1 <2
The test statistic, t, is 0.18|. (Round to two decimal places as needed.)
The P-value is 0.429. (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
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 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. H2 22 In 22 0.44 1.17 0.49 0.57 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 H1: H1 H2 O B. Ho: H1 =H2 H1: H1 > H2 OC. Ho: H1 H2 O D. Ho: H1 <2 The test statistic, t, is 0.18|. (Round to two decimal places as needed.) The P-value is 0.429. (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 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 a sham treatment. (Round to three decimal places as needed.)
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