# ismch15 - Chapter 15 Analysis of Variance 49 Chapter 15...

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Unformatted text preview: Chapter 15: Analysis of Variance 49 Chapter 15: Analysis of Variance 15.1 a. 1 2 3 62, 53, 52 x x x = = = n=16, SSW = 1028 + 1044 + 1536 = 3608 SSG = 7(62 – 56.0625) 2 + 6(53 – 56.0625) 2 + 6(52 – 56.0625) 2 = 340.9375 SST = 3948.9375 b. Complete the anova table One-way ANOVA: SodaSales_1 versus CanColor_1 Analysis of Variance for SodaSale Source DF SS MS F P CanColor 2 341 170 0.61 0.556 Error 13 3608 278 Total 15 3949 Individual 95% CIs For Mean Based on Pooled StDev Level N Mean StDev -+---------+---------+---------+----- 1 6 62.00 14.34 (------------*-----------) 2 5 53.00 16.16 (------------*-------------) 3 5 52.00 19.60 (------------*-------------) -+---------+---------+---------+----- Pooled StDev = 16.66 36 48 60 72 1 2 3 1 : , : H H otherwise μ μ μ = = 2,13,.05 3.81 F = , do not reject H at the 5% level. 15.2 a. 1 2 3 4 73, 86, 72, 72 x x x x = = = = n=23, SSW = 228 + 312 + 374 + 428 = 1342 SSG = 5(73 – 75.8696) 2 + 6(86 – 75.8696) 2 + 6(72 – 75.8696) 2 + 6(72 – 75.8696) 2 = 836.6087 SST = 2178.6087 b. Complete the anova table One-way ANOVA: Scores_2 versus TA_2 Analysis of Variance for Scores_2 Source DF SS MS F P TA_2 3 836.6 278.9 3.95 0.024 Error 19 1342.0 70.6 Total 22 2178.6 Individual 95% CIs For Mean Based on Pooled StDev Level N Mean StDev ---------+---------+---------+------- 1 5 73.000 7.550 (---------*---------) 2 6 86.000 7.899 (-------*--------) 3 6 72.000 8.649 (--------*--------) 4 6 72.000 9.252 (--------*--------) ---------+---------+---------+------- Pooled StDev = 8.404 72.0 80.0 88.0 1 2 3 1 : , : H H otherwise μ μ μ = = 3,19,.05 3.13 F = , reject H 0 at the 5% level. 50 Instructor’s Solutions Manual for Statistics for Business & Economics, 5 th Edition 15.3 a. 1 2 3 32, 24.3333, 34.8333 x x x = = = , complete the anova table One-way ANOVA: Nonconforming_3 versus Supplier_3 Analysis of Variance for Nonconfo Source DF SS MS F P Supplier 2 354.1 177.1 10.45 0.001 Error 15 254.2 16.9 Total 17 608.3 Individual 95% CIs For Mean Based on Pooled StDev Level N Mean StDev ---------+---------+---------+------- 1 6 32.000 3.347 (------*------) 2 6 24.333 5.007 (------*------) 3 6 34.833 3.817 (------*------) ---------+---------+---------+------- Pooled StDev = 4.116 25.0 30.0 35.0 b. 1 2 3 1 : , : H H otherwise μ μ μ = = 2,15,.01 6.36 F = , reject H 0 at the 1% level. 15.4 a. 1 2 3 17.4, 16.5, 17.3 x x x = = = , complete the anova table One-way ANOVA: Costpm_4 versus CarMaker Analysis of Variance for Costpm_4 Source DF SS MS F P CarMaker 2 2.43 1.22 0.40 0.676 Error 12 36.10 3.01 Total 14 38.53 Individual 95% CIs For Mean Based on Pooled StDev Level N Mean StDev -------+---------+---------+--------- 1 5 17.400 1.373 (-------------*-------------) 2 5 16.500 2.036 (--------------*-------------) 3 5 17.300 1.731 (-------------*-------------) -------+---------+---------+--------- Pooled StDev = 1.734 15.6 16.8 18.0 b....
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ismch15 - Chapter 15 Analysis of Variance 49 Chapter 15...

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