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1. In a study to compare the number of users among four similar apps, the following ANOVA table was constructed: Source Degrees of Freedom | Sum of Squares Mean Square Test Statistic |Treatments Blocks 4063 0.123 Error 504 Total

1. In a study to compare the number of users among four similar apps, the following ANOVA table was constructed: Source Degrees of Freedom | Sum of Squares Mean Square Test Statistic |Treatments Blocks 4063 0.123 Error 504 Total

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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Conduct an F-test at α = 0.05 to determine whether the average number of users are the same for all 4 apps.

 

1. In a study to compare the number of users among four similar apps, the following ANOVA table was constructed: Source Degrees of Freedom Sum of Squares Mean Square Test Statistic Treatments Blocks * * 4063 5 * * 0.123 Error 504 * Total *
Transcribed Image Text:1. In a study to compare the number of users among four similar apps, the following ANOVA table was constructed: Source Degrees of Freedom Sum of Squares Mean Square Test Statistic Treatments Blocks * * 4063 5 * * 0.123 Error 504 * Total *
Table A.9 Critical Values for F Distributions v = numerator df 1 2 3 4 5 6 7 8. 58.91 .100 .050 39.86 49.50 53.59 55.83 57.24 58.20 59.44 59.86 161.45 199.50 215.71 224.58 230.16 233.99 236.77 238.88 240.54 1 4999.50 500,000 .010 4052.20 5403.40 5624.60 5763.60 5859.00 5928.40 5981.10 6022.50 .001 405,284 540,379 562,500 576,405 585,937 592,873 598,144 602,284 .100 .050 .010 8.53 9.00 9.16 9.24 9.29 9.33 9.35 9.37 9.38 19.00 19.33 19.37 99.37 18.51 19.16 19.25 19.30 19.35 19.38 98.50 99.00 99.17 99.25 99.30 99.33 99.36 99.39 .001 998.50 999.00 999.17 999.25 999.30 999.33 999.36 999.37 999.39 .100 5.54 5.46 5.39 5.34 5.31 5.28 5.27 5.25 5.24 8.81 .050 10.13 9.55 9.28 9.12 9.01 8.94 8.89 8.85 3 34.12 30.82 27.67 27.49 130.62 .010 29.46 28.71 28.24 27.91 27.35 .001 167.03 148.50 141.11 137.10 134.58 132.85 131.58 129.86 .100 4.54 4.32 4.19 4.11 4.05 4.01 3.98 3.95 3.94 .050 7.71 6.94 6.59 6.39 6.26 6.16 6.09 6.04 6.00 16.69 15.98 53.44 .010 21.20 18.00 15.52 15.21 14.98 14.80 14.66 .001 74.14 61.25 56.18 51.71 50.53 49.66 49.00 48.47 .100 4.06 3.78 3.62 3.52 3.32 3.45 5.05 3.40 3.37 3.34 .050 6.61 5.79 5.41 5.19 4.95 4.88 4.82 4.77 .010 16.26 13.27 12.06 11.39 10.97 10.67 10.46 10.29 10.16 .001 47.18 37.12 33.20 31.09 29.75 28.83 28.16 27.65 27.24 .100 3.78 3.46 3.29 3.18 3.11 3.05 3.01 2.98 2.96 .050 5.99 5.14 4.76 4.53 4.39 4.28 4.21 4.15 4.10 .010 8.47 13.75 35.51 10.92 9.78 23.70 9.15 21.92 8.75 8.26 19.46 8.10 7.98 .001 27.00 20.80 20.03 19.03 18.69 .100 3.59 3.26 3.07 2.96 2.88 2.83 2.78 2.75 2.72 5.59 12.25 4.35 4.12 7.85 .050 4.74 3.97 3.87 3.79 3.73 3.68 9.55 8.45 18.77 .010 7.46 7.19 6.99 6.84 6.72 .001 29.25 21.69 17.20 16.21 15.52 15.02 14.63 14.33 .100 3.46 3.11 2.92 2.81 2.73 2.67 2.62 2.59 2.56 .050 .010 5.32 4.46 4.07 3.84 3.69 3.58 3.50 3.44 3.39 6.37 12.86 11.26 8.65 7.59 7.01 6.63 6.18 6.03 12.05 5.91 .001 25.41 18.49 15.83 14.39 13.48 12.40 11.77 .100 3.36 3.01 2.81 2.69 2.61 2.55 2.51 2.47 2.44 .050 5.12 4.26 3.86 3.63 3.48 3.37 3.29 3.23 3.18 v = denominator df
Transcribed Image Text:Table A.9 Critical Values for F Distributions v = numerator df 1 2 3 4 5 6 7 8. 58.91 .100 .050 39.86 49.50 53.59 55.83 57.24 58.20 59.44 59.86 161.45 199.50 215.71 224.58 230.16 233.99 236.77 238.88 240.54 1 4999.50 500,000 .010 4052.20 5403.40 5624.60 5763.60 5859.00 5928.40 5981.10 6022.50 .001 405,284 540,379 562,500 576,405 585,937 592,873 598,144 602,284 .100 .050 .010 8.53 9.00 9.16 9.24 9.29 9.33 9.35 9.37 9.38 19.00 19.33 19.37 99.37 18.51 19.16 19.25 19.30 19.35 19.38 98.50 99.00 99.17 99.25 99.30 99.33 99.36 99.39 .001 998.50 999.00 999.17 999.25 999.30 999.33 999.36 999.37 999.39 .100 5.54 5.46 5.39 5.34 5.31 5.28 5.27 5.25 5.24 8.81 .050 10.13 9.55 9.28 9.12 9.01 8.94 8.89 8.85 3 34.12 30.82 27.67 27.49 130.62 .010 29.46 28.71 28.24 27.91 27.35 .001 167.03 148.50 141.11 137.10 134.58 132.85 131.58 129.86 .100 4.54 4.32 4.19 4.11 4.05 4.01 3.98 3.95 3.94 .050 7.71 6.94 6.59 6.39 6.26 6.16 6.09 6.04 6.00 16.69 15.98 53.44 .010 21.20 18.00 15.52 15.21 14.98 14.80 14.66 .001 74.14 61.25 56.18 51.71 50.53 49.66 49.00 48.47 .100 4.06 3.78 3.62 3.52 3.32 3.45 5.05 3.40 3.37 3.34 .050 6.61 5.79 5.41 5.19 4.95 4.88 4.82 4.77 .010 16.26 13.27 12.06 11.39 10.97 10.67 10.46 10.29 10.16 .001 47.18 37.12 33.20 31.09 29.75 28.83 28.16 27.65 27.24 .100 3.78 3.46 3.29 3.18 3.11 3.05 3.01 2.98 2.96 .050 5.99 5.14 4.76 4.53 4.39 4.28 4.21 4.15 4.10 .010 8.47 13.75 35.51 10.92 9.78 23.70 9.15 21.92 8.75 8.26 19.46 8.10 7.98 .001 27.00 20.80 20.03 19.03 18.69 .100 3.59 3.26 3.07 2.96 2.88 2.83 2.78 2.75 2.72 5.59 12.25 4.35 4.12 7.85 .050 4.74 3.97 3.87 3.79 3.73 3.68 9.55 8.45 18.77 .010 7.46 7.19 6.99 6.84 6.72 .001 29.25 21.69 17.20 16.21 15.52 15.02 14.63 14.33 .100 3.46 3.11 2.92 2.81 2.73 2.67 2.62 2.59 2.56 .050 .010 5.32 4.46 4.07 3.84 3.69 3.58 3.50 3.44 3.39 6.37 12.86 11.26 8.65 7.59 7.01 6.63 6.18 6.03 12.05 5.91 .001 25.41 18.49 15.83 14.39 13.48 12.40 11.77 .100 3.36 3.01 2.81 2.69 2.61 2.55 2.51 2.47 2.44 .050 5.12 4.26 3.86 3.63 3.48 3.37 3.29 3.23 3.18 v = denominator df
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