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. A. Ho: 11 12 H₁:1₂ > 1₂ OC. Ho: 12 H₁: 1 <1₂ OB. Ho: 2 H₁:14 24/₂ OD. M₂: 142 H₁:14 1₂ (Round to three decimal places as needed.) Treatment Sham H P₁ 13 0.49 0.97 Since the sample mean 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 ECXS n 1238 The test statistic, t, is 0.15. (Round to two decimal places as needed.) The P-value is 0.441. (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, t 0.43 1.09 valid to argue that magnets might appear to be

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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.
@
2
OC. Ho: Hy #4₂
H₁: Hy <H₂
View an example
S
A. Ho: #₁ = 4₂
Hy: Hy > H₂
W
mand
H
(Round to three decimal places as needed.)
The test statistic, t, is 0.15. (Round to two decimal places as needed.)
The P-value is 0.441. (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.
#
3
Get more help.
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Transcribed Image Text: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. @ 2 OC. Ho: Hy #4₂ H₁: Hy <H₂ View an example S A. Ho: #₁ = 4₂ Hy: Hy > H₂ W mand H (Round to three decimal places as needed.) The test statistic, t, is 0.15. (Round to two decimal places as needed.) The P-value is 0.441. (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. # 3 Get more help. SO E D с $ 4 R F 5 V T G 6 MacBook Air B Y H & 7 U ов. Но нена H₂: Hy 21/₂ N OD. M₂: 14 = 1/₂ M₁: 144 #4₂ 8 J I M ( 9 K O O < L Clear all P - command Treatment [ H H₁ n 13 x 0.49 s 0.97 Check Question Viewer 11 ? Sham 1/₂ 13 0.43 1.09 option 1 de
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