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Listed below are the number f cricket chirps in 1 min and the corresponding temperatures in degrees Fahrenheit. Is there sufficient evidence to conclude that there is a relationship between the number of cricket chirps in 1 min and the temperature? Use a significance level of a = 0.05. 951 1191 Chirps in 1 min Temperature (°F) 84.5 861 69.8 975 76.9 1103 84.6 995 88.7 1120 71.4 1015 86.8 91.8 Click the icon to view the critical values of Spearman's rank correlation coefficient. Spearman's Rank Correlation Coefficient. Determine the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: Ps #0 OB. Ho: #0 Critical Values of Spearman's Rank Correlation Coefficient r H₁: Ps=0 H₁: r₁=0 a 0.05 a = 0.02 O D. Ho:r₂ = 0 n 5 a-0.10 900 O C. Ho: P₂ = 0 H₁: Pg #0 H₁: #0 6 829 886 943 .714 786 893 Find the value of the correlation coefficient. .643 .738 833 r₂ = (Round to three decimal places as needed.) 600 700 783 564 648 745 Determine the critical value(s) of the correlation coefficient. 536 618 709 ☐ 503 587 678 484 560 648 (Round to three decimal places as needed. Use a comma to separate answers as needed.) Choose the correct conclusion below. 464 538 626 446 521 604 429 503 582 O A. Fail to reject the null hypothesis. There does not appear to be a correlation between the number of chirps in 1 min and the temperature. OB. Reject the null hypothesis. There appears to be a correlation between the number of chirps in 1 min and the temperature. OC. Reject the null hypothesis. There does not appear to be a correlation between the number of chirps in 1 min and the temperature. 414 485 566 401 472 550 7 8 9 10 11 12 13 14 15 16 17 18 a = 0.01 929 881 833 794 755 727 .703 679 654 635 .615 600

Listed below are the number f cricket chirps in 1 min and the corresponding temperatures in degrees Fahrenheit. Is there sufficient evidence to conclude that there is a relationship between the number of cricket chirps in 1 min and the temperature? Use a significance level of a = 0.05. 951 1191 Chirps in 1 min Temperature (°F) 84.5 861 69.8 975 76.9 1103 84.6 995 88.7 1120 71.4 1015 86.8 91.8 Click the icon to view the critical values of Spearman's rank correlation coefficient. Spearman's Rank Correlation Coefficient. Determine the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: Ps #0 OB. Ho: #0 Critical Values of Spearman's Rank Correlation Coefficient r H₁: Ps=0 H₁: r₁=0 a 0.05 a = 0.02 O D. Ho:r₂ = 0 n 5 a-0.10 900 O C. Ho: P₂ = 0 H₁: Pg #0 H₁: #0 6 829 886 943 .714 786 893 Find the value of the correlation coefficient. .643 .738 833 r₂ = (Round to three decimal places as needed.) 600 700 783 564 648 745 Determine the critical value(s) of the correlation coefficient. 536 618 709 ☐ 503 587 678 484 560 648 (Round to three decimal places as needed. Use a comma to separate answers as needed.) Choose the correct conclusion below. 464 538 626 446 521 604 429 503 582 O A. Fail to reject the null hypothesis. There does not appear to be a correlation between the number of chirps in 1 min and the temperature. OB. Reject the null hypothesis. There appears to be a correlation between the number of chirps in 1 min and the temperature. OC. Reject the null hypothesis. There does not appear to be a correlation between the number of chirps in 1 min and the temperature. 414 485 566 401 472 550 7 8 9 10 11 12 13 14 15 16 17 18 a = 0.01 929 881 833 794 755 727 .703 679 654 635 .615 600

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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### Understanding Spearman’s Rank Correlation Coefficient Listed below are the number of cricket chirps in 1 minute and the corresponding temperatures in degrees Fahrenheit. The goal is to determine if there is sufficient evidence to conclude that there is a relationship between the number of cricket chirps in 1 minute and the temperature using a significance level of α = 0.05. #### Collected Data | Chirps in 1 min | 951 | 861 | 975 | 1103 | 995 | 1120 | 1191 | 1015 | |-----------------|-----|-----|-----|------|-----|------|------|------| | Temperature (°F)| 84.5 | 69.8 | 76.9 | 84.6 | 88.7 | 71.4 | 91.8 | 86.8 | #### Steps to Determine Correlation 1. **Identify the Hypotheses:** Determine the null (\( H_0 \)) and alternative (\( H_1 \)) hypotheses for this test. Choose the correct answer from: - A. \( H_0 : \rho_s \neq 0 \), \( H_1 : \rho_s = 0 \) - B. \( H_0 : r_s \neq 0 \), \( H_1 : r_s = 0 \) - C. \( H_0 : \rho_s = 0 \), \( H_1 : \rho_s \neq 0 \) - D. \( H_0 : r_s = 0 \), \( H_1 : r_s \neq 0 \) 2. **Calculate the Correlation Coefficient:** Find the value of the Spearman’s rank correlation coefficient (\( r_s \)). \( r_s = \) (Round to three decimal places as needed.) 3. **Determine the Critical Value(s):** Using the provided table of critical values of Spearman’s rank correlation coefficient, determine the critical value(s). Critical value(s) = (Round to three decimal places as needed. Use a comma to separate answers as needed.) 4. **Choosing the Correct Conclusion:** Based on the calculated correlation coefficient and the critical value(s), choose the correct conclusion. - A. Fail to reject the null hypothesis. There does not appear to be a
Transcribed Image Text:### Understanding Spearman’s Rank Correlation Coefficient Listed below are the number of cricket chirps in 1 minute and the corresponding temperatures in degrees Fahrenheit. The goal is to determine if there is sufficient evidence to conclude that there is a relationship between the number of cricket chirps in 1 minute and the temperature using a significance level of α = 0.05. #### Collected Data | Chirps in 1 min | 951 | 861 | 975 | 1103 | 995 | 1120 | 1191 | 1015 | |-----------------|-----|-----|-----|------|-----|------|------|------| | Temperature (°F)| 84.5 | 69.8 | 76.9 | 84.6 | 88.7 | 71.4 | 91.8 | 86.8 | #### Steps to Determine Correlation 1. **Identify the Hypotheses:** Determine the null (\( H_0 \)) and alternative (\( H_1 \)) hypotheses for this test. Choose the correct answer from: - A. \( H_0 : \rho_s \neq 0 \), \( H_1 : \rho_s = 0 \) - B. \( H_0 : r_s \neq 0 \), \( H_1 : r_s = 0 \) - C. \( H_0 : \rho_s = 0 \), \( H_1 : \rho_s \neq 0 \) - D. \( H_0 : r_s = 0 \), \( H_1 : r_s \neq 0 \) 2. **Calculate the Correlation Coefficient:** Find the value of the Spearman’s rank correlation coefficient (\( r_s \)). \( r_s = \) (Round to three decimal places as needed.) 3. **Determine the Critical Value(s):** Using the provided table of critical values of Spearman’s rank correlation coefficient, determine the critical value(s). Critical value(s) = (Round to three decimal places as needed. Use a comma to separate answers as needed.) 4. **Choosing the Correct Conclusion:** Based on the calculated correlation coefficient and the critical value(s), choose the correct conclusion. - A. Fail to reject the null hypothesis. There does not appear to be a
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