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b. Construct a confidence interval appropriate for the hypothesis test in part (a). - 0.84

b. Construct a confidence interval appropriate for the hypothesis test in part (a). - 0.84

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
Problem 1P
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I need help with Part b please the answer I got was incorrect 

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=24, x= 0.54, s= 0.96 Reduction in Pain Level After Sham Treatment (u,): n= 24, x=0.45, s= 1.39 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? YA. Ho: H1 = H2 H1: H1 > H2 OB. Hg: H1 H2 H1: H1 < H2 O D. H9: H1 <H2 O C. Ho: H1 = H2 H: 1 # H2 The test statistic, t, is 0.26. (Round to two decimal places as needed.) The P-value is 0.398. (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. b. Construct a confidence interval appropriate for the hypothesis test in part (a). |- 0.84 <41 - 42 <1.02 (Round to two decimal places as needed.) O One or more of your responses is incorrect. Both of your answers are incorrect. The confidence interval can be found using either technology or the inequality below, where x, and x, are the sample means for their respective samples, and E is the margin of error given by E= tu/2 Here, t,12 is the critical value separating an area of n2 기in both tails of a t distribution where the number of degrees of freedom is the smaller of n, - 1 and n, - 1, s, and s, are the respective sample standard deviations, and n, and n, are the respective sample sizes. Note that this confidence interval is being constructed to test a one-tailed claim, so the interval should be constructed with a confidence level of 1-2a. This means that a is effectively doubled for the construction of the interval. Remember to round to two decimal places. (*1 -x2) -E<H, - H2 < (X-*2) +E OK
Transcribed Image Text: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=24, x= 0.54, s= 0.96 Reduction in Pain Level After Sham Treatment (u,): n= 24, x=0.45, s= 1.39 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? YA. Ho: H1 = H2 H1: H1 > H2 OB. Hg: H1 H2 H1: H1 < H2 O D. H9: H1 <H2 O C. Ho: H1 = H2 H: 1 # H2 The test statistic, t, is 0.26. (Round to two decimal places as needed.) The P-value is 0.398. (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. b. Construct a confidence interval appropriate for the hypothesis test in part (a). |- 0.84 <41 - 42 <1.02 (Round to two decimal places as needed.) O One or more of your responses is incorrect. Both of your answers are incorrect. The confidence interval can be found using either technology or the inequality below, where x, and x, are the sample means for their respective samples, and E is the margin of error given by E= tu/2 Here, t,12 is the critical value separating an area of n2 기in both tails of a t distribution where the number of degrees of freedom is the smaller of n, - 1 and n, - 1, s, and s, are the respective sample standard deviations, and n, and n, are the respective sample sizes. Note that this confidence interval is being constructed to test a one-tailed claim, so the interval should be constructed with a confidence level of 1-2a. This means that a is effectively doubled for the construction of the interval. Remember to round to two decimal places. (*1 -x2) -E<H, - H2 < (X-*2) +E OK
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