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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. O Yes, since the p-value is not less than the significance level. O No. since the p-value is less than the significance level.

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. O Yes, since the p-value is not less than the significance level. O No. since the p-value is less than the significance level.

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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Hi, I need help solving part B, I have included images of the question/information and Qtable for reference.

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: I = 39, m1 = 20 Hybrid 2: = 46, n2 = 15 Hybrid 3: = 33, n3 = 18 Source of Variation Between Groups Within Groups Total of SS 1,169.38 1,327.42 2,496.80 a. At the 1% significance level, can we conclude that average mpg differs between the hybrids? Population Mean Differences H₁-H₂ H1-H3 H₂-H3 2 MS 584.69 26.55 50 52 Confidence Interval F 22.02 O Yes, since the p-value is less than the significance level. O Yes, since the p-value is not less than the significance level. O 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 - c Is 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: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: I = 39, m1 = 20 Hybrid 2: = 46, n2 = 15 Hybrid 3: = 33, n3 = 18 Source of Variation Between Groups Within Groups Total of SS 1,169.38 1,327.42 2,496.80 a. At the 1% significance level, can we conclude that average mpg differs between the hybrids? Population Mean Differences H₁-H₂ H1-H3 H₂-H3 2 MS 584.69 26.55 50 52 Confidence Interval F 22.02 O Yes, since the p-value is less than the significance level. O Yes, since the p-value is not less than the significance level. O 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 - c Is 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?
TABLE 5 Studentized Range Values qan for Tukey's HSD Method n,-c 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 24 30 40 60 120 a 0.05 0.01 ∞ 0.05 0.01 0.05 0.01 0.05 0.01 0.05 3.34 4.16 4.68 5.06 0.01 4.95 5.92 6.54 7.01 0.05 0.01 0.05 0.01 0.05 0.01 0.05 3.46 4.34 4.90 5.30 5.63 5.90 6.12 0.01 5.24 6.33 7.03 7.56 7.97 8.32 8.61 0.05 0.01 2 3 4 3.93 5.04 5.76 6.51 8.12 9.17 0.05 0.01 3.64 4.60 5.22 5.67 5.70 6.98 7.80 8.42 0.05 3.11 3.82 4.26 0.01 4.39 5.15 5.62 0.05 0.01 3.15 3.88 4.48 3.20 3.95 4.41 4.76 5.02 5.24 4.60 5.43 5.96 6.91 6.35 6.66 3.06 3.73 4.26 4.96 0.05 0.01 4.33 5.27 5.77 3.03 3.70 4.21 4.89 3.08 3.77 4.20 4.51 4.32 5.05 5.50 5.84 0.05 0.01 4.07 2.98 3.63 4.10 5.17 5.40 3.26 4.04 4.53 4.89 4.75 5.64 6.20 6.62 6.96 7.24 7.47 7.68 0.05 3.01 3.67 4.08 4.37 0.01 4.17 4.84 5.25 0.05 2.95 0.01 4.02 2.97 3.61 4.70 0.05 2.96 3.59 0.01 4.05 4.67 0.05 2.92 0.01 3.96 0.05 2.89 0.01 3.89 3.00 3.65 4.05 4.33 4.13 4.79 5.19 4.02 4.74 5.14 5 6.29 9.96 4.11 5.32 0.05 2.83 3.40 0.01 3.76 4.28 4.00 5.09 3.58 4.64 5.02 2.80 3.36 3.70 4.20 3.98 5.05 4.65 6.14 3.49 3.85 4.45 4.80 2.77 3.31 3.64 4.12 4.57 5.97 4.15 4.45 4.69 5.40 5.73 5.98 4.41 5.63 3.68 4.50 The number of means, c 6 7 7.05 11.10 6.71 10.58 4.30 5.43 3.96 4.23 5.29 4.25 5.33 6.03 6.33 6.58 8.91 9.32 5.36 5.61 7.37 7.68 4.91 6.43 3.98 3.74 4.59 4.82 4.56 5.49 5.72 4.82 6.25 6.48 4.75 6.10 3.92 4.71 4.64 5.88 4.28 4.49 5.38 5.60 3.53 3.90 4.17 4.37 4.55 4.91 5.17 5.37 4.52 5.66 0.05 2.86 3.44 3.79 4.04 4.23 3.82 4.37 4.70 4.93 0.01 4.10 4.30 5.05 4.95 6.32 4.16 4.99 4.83 6.08 4.59 4.78 5.08 4.94 5.56 5.80 5.99 6.16 6.31 4.10 4.87 8 7.35 11.54 11.92 4.74 5.92 5.03 5.20 6.80 6.99 7.17 7.32 9.67 9.97 10.24 10.48 10.70 5.82 7.94 4.46 5.24 5.40 4.88 5.05 6.19 6.37 5.43 7.13 5.12 5.30 5.46 5.60 5.72 6.67 6.87 7.05 7.21 7.36 4.54 5.54 4.47 4.65 4.79 5.55 5.73 5.89 4.31 5.13 9 10 7.60 7.83 5.60 5.77 5.92 6.05 7.86 4.24 5.01 4.67 4.82 5.79 5.94 6.32 6.49 8.87 5.12 5.27 6.51 6.67 4.90 6.08 5.35 5.49 5.61 6.67 6.84 6.99 7.13 6.00 6.16 6.30 8.17 8.37 8.55 4.99 5.13 6.26 6.41 11 8.03 12.26 12.57 6.65 6.79 9.10 9.30 9.48 5.59 5.74 5.87 5.98 7.49 7.65 7.33 7.78 0.05 3.63 3.86 4.03 4.17 4.29 4.40 4.60 4.76 0.01 4.88 4.99 Source: E. S. Pearson and H. O. Hartley, Biometrika Tables for Statisticians, vol. 1 (Cambridge: Cambridge University Press, 1966). 4.36 5.12 5.19 5.32 6.53 6.67 4.39 4.52 4.63 5.11 5.26 5.39 5.50 4.45 4.62 4.77 4.90 5.01 5.11 5.51 5.69 5.84 5.97 6.09 6.19 5.39 6.81 4.60 4.72 5.54 5.65 4.44 4.55 5.25 5.36 6.18 8.03 8.18 5.03 5.15 5.26 6.22 6.35 4.68 4.81 4.92 5.69 5.81 5.25 5.36 6.54 6.66 5.51 6.94 5.20 5.31 6.44 6.55 4.70 4.86 4.99 5.11 5.21 5.31 5.85 6.01 6.15 6.27 6.38 6.48 5.43 6.79 4.96 5.07 5.17 6.08 6.20 6.31 4.92 5.04 5.14 6.02 6.14 6.25 12 8.21 12.84 4.47 4.56 5.21 5.30 6.43 8.71 4.39 4.47 5.08 5.16 4.73 4.82 5.60 5.69 4.65 4.73 5.45 5.53 5.83 7.49 5.35 6.46 6.56 5.71 7.25 5.61 7.06 5.53 6.90 5.46 6.77 5.40 6.66 5.01 5.10 5.92 6.02 6.11 5.27 6.41 4.82 4.92 5.00 5.76 5.85 5.93 5.23 6.34 5.20 6.28 4.90 5.76 4.81 5.60 4.64 4.71 5.37 5.44 4.55 4.62 5.29 5.23
Transcribed Image Text:TABLE 5 Studentized Range Values qan for Tukey's HSD Method n,-c 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 24 30 40 60 120 a 0.05 0.01 ∞ 0.05 0.01 0.05 0.01 0.05 0.01 0.05 3.34 4.16 4.68 5.06 0.01 4.95 5.92 6.54 7.01 0.05 0.01 0.05 0.01 0.05 0.01 0.05 3.46 4.34 4.90 5.30 5.63 5.90 6.12 0.01 5.24 6.33 7.03 7.56 7.97 8.32 8.61 0.05 0.01 2 3 4 3.93 5.04 5.76 6.51 8.12 9.17 0.05 0.01 3.64 4.60 5.22 5.67 5.70 6.98 7.80 8.42 0.05 3.11 3.82 4.26 0.01 4.39 5.15 5.62 0.05 0.01 3.15 3.88 4.48 3.20 3.95 4.41 4.76 5.02 5.24 4.60 5.43 5.96 6.91 6.35 6.66 3.06 3.73 4.26 4.96 0.05 0.01 4.33 5.27 5.77 3.03 3.70 4.21 4.89 3.08 3.77 4.20 4.51 4.32 5.05 5.50 5.84 0.05 0.01 4.07 2.98 3.63 4.10 5.17 5.40 3.26 4.04 4.53 4.89 4.75 5.64 6.20 6.62 6.96 7.24 7.47 7.68 0.05 3.01 3.67 4.08 4.37 0.01 4.17 4.84 5.25 0.05 2.95 0.01 4.02 2.97 3.61 4.70 0.05 2.96 3.59 0.01 4.05 4.67 0.05 2.92 0.01 3.96 0.05 2.89 0.01 3.89 3.00 3.65 4.05 4.33 4.13 4.79 5.19 4.02 4.74 5.14 5 6.29 9.96 4.11 5.32 0.05 2.83 3.40 0.01 3.76 4.28 4.00 5.09 3.58 4.64 5.02 2.80 3.36 3.70 4.20 3.98 5.05 4.65 6.14 3.49 3.85 4.45 4.80 2.77 3.31 3.64 4.12 4.57 5.97 4.15 4.45 4.69 5.40 5.73 5.98 4.41 5.63 3.68 4.50 The number of means, c 6 7 7.05 11.10 6.71 10.58 4.30 5.43 3.96 4.23 5.29 4.25 5.33 6.03 6.33 6.58 8.91 9.32 5.36 5.61 7.37 7.68 4.91 6.43 3.98 3.74 4.59 4.82 4.56 5.49 5.72 4.82 6.25 6.48 4.75 6.10 3.92 4.71 4.64 5.88 4.28 4.49 5.38 5.60 3.53 3.90 4.17 4.37 4.55 4.91 5.17 5.37 4.52 5.66 0.05 2.86 3.44 3.79 4.04 4.23 3.82 4.37 4.70 4.93 0.01 4.10 4.30 5.05 4.95 6.32 4.16 4.99 4.83 6.08 4.59 4.78 5.08 4.94 5.56 5.80 5.99 6.16 6.31 4.10 4.87 8 7.35 11.54 11.92 4.74 5.92 5.03 5.20 6.80 6.99 7.17 7.32 9.67 9.97 10.24 10.48 10.70 5.82 7.94 4.46 5.24 5.40 4.88 5.05 6.19 6.37 5.43 7.13 5.12 5.30 5.46 5.60 5.72 6.67 6.87 7.05 7.21 7.36 4.54 5.54 4.47 4.65 4.79 5.55 5.73 5.89 4.31 5.13 9 10 7.60 7.83 5.60 5.77 5.92 6.05 7.86 4.24 5.01 4.67 4.82 5.79 5.94 6.32 6.49 8.87 5.12 5.27 6.51 6.67 4.90 6.08 5.35 5.49 5.61 6.67 6.84 6.99 7.13 6.00 6.16 6.30 8.17 8.37 8.55 4.99 5.13 6.26 6.41 11 8.03 12.26 12.57 6.65 6.79 9.10 9.30 9.48 5.59 5.74 5.87 5.98 7.49 7.65 7.33 7.78 0.05 3.63 3.86 4.03 4.17 4.29 4.40 4.60 4.76 0.01 4.88 4.99 Source: E. S. Pearson and H. O. Hartley, Biometrika Tables for Statisticians, vol. 1 (Cambridge: Cambridge University Press, 1966). 4.36 5.12 5.19 5.32 6.53 6.67 4.39 4.52 4.63 5.11 5.26 5.39 5.50 4.45 4.62 4.77 4.90 5.01 5.11 5.51 5.69 5.84 5.97 6.09 6.19 5.39 6.81 4.60 4.72 5.54 5.65 4.44 4.55 5.25 5.36 6.18 8.03 8.18 5.03 5.15 5.26 6.22 6.35 4.68 4.81 4.92 5.69 5.81 5.25 5.36 6.54 6.66 5.51 6.94 5.20 5.31 6.44 6.55 4.70 4.86 4.99 5.11 5.21 5.31 5.85 6.01 6.15 6.27 6.38 6.48 5.43 6.79 4.96 5.07 5.17 6.08 6.20 6.31 4.92 5.04 5.14 6.02 6.14 6.25 12 8.21 12.84 4.47 4.56 5.21 5.30 6.43 8.71 4.39 4.47 5.08 5.16 4.73 4.82 5.60 5.69 4.65 4.73 5.45 5.53 5.83 7.49 5.35 6.46 6.56 5.71 7.25 5.61 7.06 5.53 6.90 5.46 6.77 5.40 6.66 5.01 5.10 5.92 6.02 6.11 5.27 6.41 4.82 4.92 5.00 5.76 5.85 5.93 5.23 6.34 5.20 6.28 4.90 5.76 4.81 5.60 4.64 4.71 5.37 5.44 4.55 4.62 5.29 5.23
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