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The following output summarizes the results for a one-way analysis of variance experiment in which the treatments were three different hybrid cars and the variable measured was the miles per gallon (mpg) obtained while driving the same route. (You may find it useful to reference the g table.) Hybrid 1: X1 = 37, n₁1 = 20 Hybrid 2: X2 = 50, n₂ = 15 Hybrid 3: X3 = 38, n3 = 18 Source of Variation Between Groups Within Groups Total SS 1,137.37 1,413.32 2,550.69 a. At the 1% significance level, can we conclude that average mpg differs between the hybrids? df Population Mean Differences H1-H₂ H1 H3 H2 H3 2 50 52 O Yes, since the p-value is less than the significance level. Yes, since the p-value is not less than the significance level. No. since the p-value is less than the significance level. No, since the p-value is not less than the significance level. Confidence Interval MS 568.69 28.27 F 20.12 b. Use Tukey's HSD method at the 1% significance level to determine which hybrids' means differ. (If the exact value for nT - cis not found in the table, then round down. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) p-value 0.0000 Can we conclude that the hybrids' means differ?

The following output summarizes the results for a one-way analysis of variance experiment in which the treatments were three different hybrid cars and the variable measured was the miles per gallon (mpg) obtained while driving the same route. (You may find it useful to reference the g table.) Hybrid 1: X1 = 37, n₁1 = 20 Hybrid 2: X2 = 50, n₂ = 15 Hybrid 3: X3 = 38, n3 = 18 Source of Variation Between Groups Within Groups Total SS 1,137.37 1,413.32 2,550.69 a. At the 1% significance level, can we conclude that average mpg differs between the hybrids? df Population Mean Differences H1-H₂ H1 H3 H2 H3 2 50 52 O Yes, since the p-value is less than the significance level. Yes, since the p-value is not less than the significance level. No. since the p-value is less than the significance level. No, since the p-value is not less than the significance level. Confidence Interval MS 568.69 28.27 F 20.12 b. Use Tukey's HSD method at the 1% significance level to determine which hybrids' means differ. (If the exact value for nT - cis not found in the table, then round down. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) p-value 0.0000 Can we conclude that the hybrids' means differ?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 14CR
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ces The following output summarizes the results for a one-way analysis of variance experiment in which the treatments were three different hybrid cars and the variable measured was the miles per gallon (mpg) obtained while driving the same route. (You may find it useful to reference the g table.) Hybrid 1: 1 = 37, n₁ = 20 Hybrid 2: X2 = 50, n₂ = 15 Hybrid 3: X3 = 38, n3 = 18 Source of Variation Between Groups Within Groups Total SS 1,137.37 1,413.32 2,550.69 df 2 Population Mean Differences H₁-H₂ P1-P3 H2 H3 50 52 MS 568.69 28.27 Confidence Interval F 20.12 a. At the 1% significance level, can we conclude that average mpg differs between the hybrids? Yes, since the p-value is less than the significance level. Yes, since the p-value is not less than the significance level. No, since the p-value is less than the significance level. No, since the p-value is not less than the significance level. b. Use Tukey's HSD method at the 1% significance level to determine which hybrids' means differ. (If the exact value for nT - cis not found in the table, then round down. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) p-value 0.0000 Can we conclude that the hybrids' means differ?
Transcribed Image Text:ces The following output summarizes the results for a one-way analysis of variance experiment in which the treatments were three different hybrid cars and the variable measured was the miles per gallon (mpg) obtained while driving the same route. (You may find it useful to reference the g table.) Hybrid 1: 1 = 37, n₁ = 20 Hybrid 2: X2 = 50, n₂ = 15 Hybrid 3: X3 = 38, n3 = 18 Source of Variation Between Groups Within Groups Total SS 1,137.37 1,413.32 2,550.69 df 2 Population Mean Differences H₁-H₂ P1-P3 H2 H3 50 52 MS 568.69 28.27 Confidence Interval F 20.12 a. At the 1% significance level, can we conclude that average mpg differs between the hybrids? Yes, since the p-value is less than the significance level. Yes, since the p-value is not less than the significance level. No, since the p-value is less than the significance level. No, since the p-value is not less than the significance level. b. Use Tukey's HSD method at the 1% significance level to determine which hybrids' means differ. (If the exact value for nT - cis not found in the table, then round down. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) p-value 0.0000 Can we conclude that the hybrids' means differ?
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