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4. A medical study was interested in comparing lung capacity (in liters) for a random sample of subjects. Information on the dataset follows: Column 1: Cap: Lung capacity (in liters) Column 2: Gen: The gender of the subject, with values of female, male. Consider this to be factor A. Column 3: Smoke: The smoking status of the subject with values no, yes. Consider this to be factor B. = You may assume that i 1 is female, i = 2 is male, j = 1 is no, and j = 2 is yes. A table of SSE values follow. AB (A+B) A B Empty/Null 959.03 SSE 682.43 708.34 895.26 778.70 The total number of subjects is: 165. (a) Explain what the difference Y11.-Y12. would represent. (b) Explain what the difference Y₁1.-Y21. would represent. (c) The p-value for the test of interactions is 0.01447. State your conclusion in terms of the problem, using the test which has the smallest probability of a Type I error. (d) Calculate R² {AB|(A+B)}. Does this value seem rea- sonable based on your decision in (c)?

4. A medical study was interested in comparing lung capacity (in liters) for a random sample of subjects. Information on the dataset follows: Column 1: Cap: Lung capacity (in liters) Column 2: Gen: The gender of the subject, with values of female, male. Consider this to be factor A. Column 3: Smoke: The smoking status of the subject with values no, yes. Consider this to be factor B. = You may assume that i 1 is female, i = 2 is male, j = 1 is no, and j = 2 is yes. A table of SSE values follow. AB (A+B) A B Empty/Null 959.03 SSE 682.43 708.34 895.26 778.70 The total number of subjects is: 165. (a) Explain what the difference Y11.-Y12. would represent. (b) Explain what the difference Y₁1.-Y21. would represent. (c) The p-value for the test of interactions is 0.01447. State your conclusion in terms of the problem, using the test which has the smallest probability of a Type I error. (d) Calculate R² {AB|(A+B)}. Does this value seem rea- sonable based on your decision in (c)?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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4. A medical study was interested in comparing lung capacity (in liters) for a random sample of subjects. Information on the dataset follows: Column 1: Cap: Lung capacity (in liters) Column 2: Gen: The gender of the subject, with values of female, male. Consider this to be factor A. Column 3: Smoke: The smoking status of the subject with values no, yes. Consider this to be factor B. = You may assume that i 1 is female, i = 2 is male, j = 1 is no, and j = 2 is yes. A table of SSE values follow. AB (A+B) A B Empty/Null 959.03 SSE 682.43 708.34 895.26 778.70 The total number of subjects is: 165. (a) Explain what the difference Y11.-Y12. would represent. (b) Explain what the difference Y₁1.-Y21. would represent. (c) The p-value for the test of interactions is 0.01447. State your conclusion in terms of the problem, using the test which has the smallest probability of a Type I error. (d) Calculate R² {AB (A+B)}. Does this value seem rea- sonable based on your decision in (c)?
Transcribed Image Text:4. A medical study was interested in comparing lung capacity (in liters) for a random sample of subjects. Information on the dataset follows: Column 1: Cap: Lung capacity (in liters) Column 2: Gen: The gender of the subject, with values of female, male. Consider this to be factor A. Column 3: Smoke: The smoking status of the subject with values no, yes. Consider this to be factor B. = You may assume that i 1 is female, i = 2 is male, j = 1 is no, and j = 2 is yes. A table of SSE values follow. AB (A+B) A B Empty/Null 959.03 SSE 682.43 708.34 895.26 778.70 The total number of subjects is: 165. (a) Explain what the difference Y11.-Y12. would represent. (b) Explain what the difference Y₁1.-Y21. would represent. (c) The p-value for the test of interactions is 0.01447. State your conclusion in terms of the problem, using the test which has the smallest probability of a Type I error. (d) Calculate R² {AB (A+B)}. Does this value seem rea- sonable based on your decision in (c)?
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