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4. Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. 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) to (c) below. Reduction in Pain Level After Magnet Treatment (4): n=19, x=0.47, s=0.92 Reduction in Pain Level After Sham Treatment (p₂): n=19, x=0.39, s = 1.37 a. Use a 0.01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? A. Ho: P1 P2 H₁: H₁ H₂ OC. Ho: P1 P2 H₁ H1 H2 The test statistic, t, is The P-value is State the conclusion for the test. (Round to two decimal places as needed.) (Round to three decimal places as needed.) the null hypothesis. There (2) (1) those given a sham treatment. b. Construct a confidence interval appropriate for the hypothesis test in part (a).

4. Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. 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) to (c) below. Reduction in Pain Level After Magnet Treatment (4): n=19, x=0.47, s=0.92 Reduction in Pain Level After Sham Treatment (p₂): n=19, x=0.39, s = 1.37 a. Use a 0.01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? A. Ho: P1 P2 H₁: H₁ H₂ OC. Ho: P1 P2 H₁ H1 H2 The test statistic, t, is The P-value is State the conclusion for the test. (Round to two decimal places as needed.) (Round to three decimal places as needed.) the null hypothesis. There (2) (1) those given a sham treatment. b. Construct a confidence interval appropriate for the hypothesis test in part (a).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Date: 07714/23 14. Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. 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) to (c) below. Reduction in Pain Level After Magnet Treatment (₁): n = 19, x=0.47, s= 0.92 Reduction in Pain Level After Sham Treatment (p₂): n=19, x=0.39, s=1.37 a. Use a 0.01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? A. Ho: P1 P2 H₁: H₁ H₂ ỌC. Ho: Hy #U2 H₁ H₁ H2 The test statistic, t, is The P-value is (Round to two decimal places as needed.). (Round to three decimal places as needed.) State the conclusion for the test. (1). those given a sham treatment. b. Construct a confidence interval appropriate for the hypothesis test in part (a). the null hypothesis. There (2) <H₁-H₂ (Round to two decimal places as needed.) OB. Ho: P1 H₁: H₁ OD. Ho: H1 P2 H₂ H2 H₁:₁²H₂ sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than
Transcribed Image Text:Date: 07714/23 14. Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. 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) to (c) below. Reduction in Pain Level After Magnet Treatment (₁): n = 19, x=0.47, s= 0.92 Reduction in Pain Level After Sham Treatment (p₂): n=19, x=0.39, s=1.37 a. Use a 0.01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? A. Ho: P1 P2 H₁: H₁ H₂ ỌC. Ho: Hy #U2 H₁ H₁ H2 The test statistic, t, is The P-value is (Round to two decimal places as needed.). (Round to three decimal places as needed.) State the conclusion for the test. (1). those given a sham treatment. b. Construct a confidence interval appropriate for the hypothesis test in part (a). the null hypothesis. There (2) <H₁-H₂ (Round to two decimal places as needed.) OB. Ho: P1 H₁: H₁ OD. Ho: H1 P2 H₂ H2 H₁:₁²H₂ sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than
The P-value is State the conclusion for the test. (Round to three decimal places as needed.). (1)- those given a sham treatment. b. Construct a confidence interval appropriate for the hypothesis test in part (a). the null hypothesis. There (2). <P1-P21 (Round to two decimal places as needed.). (1) OA. It appears that magnets are not effective in treating back pain, because the P-value is less than the significance level. OB. It appears that magnets are effective in treating back pain, because the P-value is greater than the significance level. OC. It appears that magnets are not effective in treating back pain, because 0 is in the confidence interval. OD. It appears that magnets are effective in treating back pain, because the confidence interval contains only positive values. Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? Choose the correct answer below. OA. No, because increasing the sample size will increase the P-value. B. Yes, because increasing the sample size will increase the effectiveness. OC. No, because the magnets already appear to be effective. OD. Yes, because increasing the sample size will decrease the P-value. O Reject O Fail to reject c. Does it appear that magnets are effective in treating back pain? Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? Choose the correct answer below. Paper size Letter V (2) is not O is Print sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than
Transcribed Image Text:The P-value is State the conclusion for the test. (Round to three decimal places as needed.). (1)- those given a sham treatment. b. Construct a confidence interval appropriate for the hypothesis test in part (a). the null hypothesis. There (2). <P1-P21 (Round to two decimal places as needed.). (1) OA. It appears that magnets are not effective in treating back pain, because the P-value is less than the significance level. OB. It appears that magnets are effective in treating back pain, because the P-value is greater than the significance level. OC. It appears that magnets are not effective in treating back pain, because 0 is in the confidence interval. OD. It appears that magnets are effective in treating back pain, because the confidence interval contains only positive values. Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? Choose the correct answer below. OA. No, because increasing the sample size will increase the P-value. B. Yes, because increasing the sample size will increase the effectiveness. OC. No, because the magnets already appear to be effective. OD. Yes, because increasing the sample size will decrease the P-value. O Reject O Fail to reject c. Does it appear that magnets are effective in treating back pain? Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? Choose the correct answer below. Paper size Letter V (2) is not O is Print sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than
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