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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 H 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 X S P1 17 0.57 0.97 12 17 0.44 1.42 Fall to reject the null nypotnesis. I nere is not sumcient evidence to support the claim that those treated with magnets nave 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 not 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. 75-7

Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table H 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 X S P1 17 0.57 0.97 12 17 0.44 1.42 Fall to reject the null nypotnesis. I nere is not sumcient evidence to support the claim that those treated with magnets nave 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 not 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. 75-7

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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K Treatment Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table P P1 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 0.57 0.97 GECED X S Sham 1₂ 17 0.44 1.42 Fall to reject the null nypotnesis. Inere is not sumicient evidence to support the claim that those treated with magnets nave 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? <₁-₂ (Round to three decimal places as needed.). Since the sample mean for those treated with magnets is greater than the sample mean for those given a sham treatment, it is not 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.
Transcribed Image Text:K Treatment Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table P P1 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 0.57 0.97 GECED X S Sham 1₂ 17 0.44 1.42 Fall to reject the null nypotnesis. Inere is not sumicient evidence to support the claim that those treated with magnets nave 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? <₁-₂ (Round to three decimal places as needed.). Since the sample mean for those treated with magnets is greater than the sample mean for those given a sham treatment, it is not 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.
K 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. H₁: 11 21₂ C H₁:11 #1₂ X S Treatment H₁ 17 0.57 0.97 Sham 12 17 0.44 1.42 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. 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?
Transcribed Image Text:K 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. H₁: 11 21₂ C H₁:11 #1₂ X S Treatment H₁ 17 0.57 0.97 Sham 12 17 0.44 1.42 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. 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?
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