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A magazine tested LCD televisions. The table below shows the overall quality score and cost in hundreds of dollars. Use the rank correlation coeficient to test for a correlation between the two variables. Use a significance level of a 0.01. Based on these results, can you expect to get higher quality by purchasing a more expensive LCD television? Quality Cost 74 72 71 67 65 64 60 57 57 53 51 D 29 30 39 25 22 15 29 25 17 15 22 Spearman's rank correlation coefficient E Click the icon to view the critical values of Spearman's rank correlation coefficient. ....... Determine the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: Po #0 H1: P =0 O B. Ho:r,+0 c. Ho: P. =0 O D. Ho:r, -0 X/2 a/2 H;: Pa 0 Hr, 0 -1 Determine the correlation coefficient. Critical Values of Spearman's Rank Correlation Coefficient r, r,= 0.664 (Round to three decimal places as needed.) - 0.10 am 0.05 a- 0.02 a 0.01 Determine the critical value(s) of the correlation coefficient. 15 900 16 329 886 943 (Round to three decimal places as needed. Use a comma to separate answers as needed.) 714 786 893 929 8 643 .738 833 881 600 .700 783 833 10 564 648 .745 794 11 536 618 709 755

A magazine tested LCD televisions. The table below shows the overall quality score and cost in hundreds of dollars. Use the rank correlation coeficient to test for a correlation between the two variables. Use a significance level of a 0.01. Based on these results, can you expect to get higher quality by purchasing a more expensive LCD television? Quality Cost 74 72 71 67 65 64 60 57 57 53 51 D 29 30 39 25 22 15 29 25 17 15 22 Spearman's rank correlation coefficient E Click the icon to view the critical values of Spearman's rank correlation coefficient. ....... Determine the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: Po #0 H1: P =0 O B. Ho:r,+0 c. Ho: P. =0 O D. Ho:r, -0 X/2 a/2 H;: Pa 0 Hr, 0 -1 Determine the correlation coefficient. Critical Values of Spearman's Rank Correlation Coefficient r, r,= 0.664 (Round to three decimal places as needed.) - 0.10 am 0.05 a- 0.02 a 0.01 Determine the critical value(s) of the correlation coefficient. 15 900 16 329 886 943 (Round to three decimal places as needed. Use a comma to separate answers as needed.) 714 786 893 929 8 643 .738 833 881 600 .700 783 833 10 564 648 .745 794 11 536 618 709 755

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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A magazine tested LCD televisions. The table below shows the overall quality score and cost in hundreds of dollars. Based on these results, can you expect to get higher quality by purchasing a more expensive LCD television? Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of α = 0.01. | Quality | 74 | 72 | 71 | 67 | 65 | 64 | 60 | 57 | 57 | 53 | 51 | |---------|----|----|----|----|----|----|----|----|----|----|----| | Cost | 29 | 30 | 29 | 25 | 22 | 24 | 25 | 15 | 17 | 15 | 22 | - Click the icon to view the critical values of Spearman's rank correlation coefficient. **Determine the null and alternative hypotheses for this test. Choose the correct answer below:** - A. \( H_0: \rho_s \neq 0 \) \( H_1: \rho_s = 0 \) - B. \( H_0: \rho_s = 0 \) \( H_1: \rho_s \neq 0 \) - C. \( H_0: \rho_s = 0 \) \( H_1: \rho_s > 0 \) - D. \( H_0: \rho_s = 0 \) \( H_1: \rho_s < 0 \) **Determine the correlation coefficient:** \( r_s = 0.664 \) (Round to three decimal places as needed.) **Determine the critical value(s) of the correlation coefficient:** (Round to three decimal places as needed. Use a comma to separate answers as needed.) --- **Spearman's Rank Correlation Coefficient:** The critical values of Spearman’s Rank Correlation Coefficient table provides values for different significance levels (alpha): - \( \alpha = 0.10 \) - \( \alpha = 0.05 \) - \( \alpha = 0.02 \) - \( \alpha = 0.01 \) For each alpha, the critical value decreases as the number of data pairs increases. The graph depicts a normal distribution curve with critical regions marked for \(\alpha/2\) on both ends of the \(r
Transcribed Image Text:A magazine tested LCD televisions. The table below shows the overall quality score and cost in hundreds of dollars. Based on these results, can you expect to get higher quality by purchasing a more expensive LCD television? Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of α = 0.01. | Quality | 74 | 72 | 71 | 67 | 65 | 64 | 60 | 57 | 57 | 53 | 51 | |---------|----|----|----|----|----|----|----|----|----|----|----| | Cost | 29 | 30 | 29 | 25 | 22 | 24 | 25 | 15 | 17 | 15 | 22 | - Click the icon to view the critical values of Spearman's rank correlation coefficient. **Determine the null and alternative hypotheses for this test. Choose the correct answer below:** - A. \( H_0: \rho_s \neq 0 \) \( H_1: \rho_s = 0 \) - B. \( H_0: \rho_s = 0 \) \( H_1: \rho_s \neq 0 \) - C. \( H_0: \rho_s = 0 \) \( H_1: \rho_s > 0 \) - D. \( H_0: \rho_s = 0 \) \( H_1: \rho_s < 0 \) **Determine the correlation coefficient:** \( r_s = 0.664 \) (Round to three decimal places as needed.) **Determine the critical value(s) of the correlation coefficient:** (Round to three decimal places as needed. Use a comma to separate answers as needed.) --- **Spearman's Rank Correlation Coefficient:** The critical values of Spearman’s Rank Correlation Coefficient table provides values for different significance levels (alpha): - \( \alpha = 0.10 \) - \( \alpha = 0.05 \) - \( \alpha = 0.02 \) - \( \alpha = 0.01 \) For each alpha, the critical value decreases as the number of data pairs increases. The graph depicts a normal distribution curve with critical regions marked for \(\alpha/2\) on both ends of the \(r
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