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A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets. n Sham 20 Magnet 20 X 0.42 0.47 S 1.57 0.91

A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets. n Sham 20 Magnet 20 X 0.42 0.47 S 1.57 0.91

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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### Conclusion for Hypothesis Test **What is the conclusion for this hypothesis test?** - **A.** Reject \( H_0 \). There is sufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets. - **B.** Fail to reject \( H_0 \). There is insufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets. - **C.** Reject \( H_0 \). There is insufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets.
Transcribed Image Text:### Conclusion for Hypothesis Test **What is the conclusion for this hypothesis test?** - **A.** Reject \( H_0 \). There is sufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets. - **B.** Fail to reject \( H_0 \). There is insufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets. - **C.** Reject \( H_0 \). There is insufficient evidence to support the claim that those given a sham treatment have pain reductions that vary more than those treated with magnets.
A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets. **Data Table:** | | n | \(\bar{x}\) | s | |------|----|-------------|-----| | Sham | 20 | 0.42 | 1.57| | Magnet | 20 | 0.47 | 0.91| **What are the null and alternative hypotheses?** - A. \(H_0: \sigma^2_1 = \sigma^2_2\) \(H_1: \sigma^2_1 < \sigma^2_2\) - **B.** \(H_0: \sigma^2_1 = \sigma^2_2\) \(H_1: \sigma^2_1 > \sigma^2_2\) (Correct Answer) - C. \(H_0: \sigma^2_1 = \sigma^2_2\) \(H_1: \sigma^2_1 \neq \sigma^2_2\) - D. \(H_0: \sigma^2_1 \neq \sigma^2_2\) \(H_1: \sigma^2_1 = \sigma^2_2\) **Identify the test statistic.** F = 2.98 (Round to two decimal places as needed.) **Use technology to identify the P-value.** The P-value is \(\_\_\_\). (Round to three decimal places as needed.)
Transcribed Image Text:A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets. **Data Table:** | | n | \(\bar{x}\) | s | |------|----|-------------|-----| | Sham | 20 | 0.42 | 1.57| | Magnet | 20 | 0.47 | 0.91| **What are the null and alternative hypotheses?** - A. \(H_0: \sigma^2_1 = \sigma^2_2\) \(H_1: \sigma^2_1 < \sigma^2_2\) - **B.** \(H_0: \sigma^2_1 = \sigma^2_2\) \(H_1: \sigma^2_1 > \sigma^2_2\) (Correct Answer) - C. \(H_0: \sigma^2_1 = \sigma^2_2\) \(H_1: \sigma^2_1 \neq \sigma^2_2\) - D. \(H_0: \sigma^2_1 \neq \sigma^2_2\) \(H_1: \sigma^2_1 = \sigma^2_2\) **Identify the test statistic.** F = 2.98 (Round to two decimal places as needed.) **Use technology to identify the P-value.** The P-value is \(\_\_\_\). (Round to three decimal places as needed.)
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