ch14 - CHAPTER 14 Section 14-3 14-1 a) H 0 :1 = 2 = 3 = 0 H...

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CHAPTER 14 Section 14-3 14-1 a) 0 : 3 2 1 0 = = = τ H 0 one least at : 1 j H 0 : 3 2 1 0 = = = β H 0 one least at : 1 j H Analysis of Variance for life Source DF SS MS F P material 2 10683.7 5341.9 7.91 0.002 temperat 2 39118.7 19559.4 28.97 0.000 material*temperat 4 9613.8 2403.4 3.56 0.019 Error 27 18230.7 675.2 Total 35 77647.0 Main factors and interaction are all significant. b) The mean life for material 2 is the highest at temperature level 1, in the middle at temperature level 2 and the lowest at temperature level 3. This shows that there is an interaction. 1 2 3 1 2 3 3 2 1 150 100 50 temperat material Mean Interaction Plot - Means for life c) There appears to be slightly more variability at temperature 1 and material 1. The normal probability plot shows that the assumption of normality is reasonable. 3 2 1 0 -50 R e s i d u a l ResidualsVersustemperat (response is life) 3 2 1 0 R e s i d u a l ResidualsVersusmaterial (response is life) 14-1
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150 100 50 50 0 -50 Fit ed Value Residual Residuals Versus the Fitted Values (response is life) 50 0 -50 2 1 0 -1 -2 Normal Score Residual Normal Probability Plot of the Residuals (response is life) 14.2 a) 0 : 2 1 0 = = τ H 0 one least at : 1 j H Analysis of variance for SURFACE FINISH Source DF SS MS F P paint 1 355.6 355.6 1.90 0.193 drying 2 27.4 13.7 0.07 0.930 paint*drying 2 1878.8 939.4 5.03 0.026 Error 12 2242.7 186.9 Total 17 4504.4 Only the interaction between the paint and drying time is significant. b)The residual plots appear reasonable. 30 25 20 10 0 -10 -20 drying Residuals Versus drying (response is surf ini) 2.0 1.5 1.0 0 paint Residuals Versus paint (response is surf ini)) 14-2
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90 80 70 60 20 10 0 -10 -20 Fit ed Value Residual Residuals Versus the Fitted Values (response is surf ini) 50 0 -50 2 1 0 -1 -2 Normal Score Residual Normal Probability Plot of the Residuals (response is life) 14-3 a) 1. 0 : 2 1 0 = = τ H 0 one least at : 1 i H 2. 0 : 3 2 1 0 = = = β H 0 one least at : 1 j H b) Analysis of Variance for current Source DF SS MS F P glasstyp 1 14450.0 14450.0 273.79 0.000 phostype 2 933.3 466.7 8.84 0.004 glasstyp*phostype 2 133.3 66.7 1.26 0.318 Error 12 633.3 52.8 Total 17 16150.0 Main effects are significant, the interaction is not significant. Glass type 1 and phosphor type 2 lead to the highest mean current (brightness). c) There appears to be more slightly variability at phosphor type 2 and glass type 2. The normal plot of the residuals shows that the assumption of normality is reasonable. 14-3
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3 2 1 15 10 5 0 -5 -10 phostype Residual Residuals Versus phostype (response is current) 2.0 1.5 1.0 15 10 5 0 glasstyp Residuals Versus glasstyp (response is cur ent) 15 10 5 0 -5 -10 2 1 0 -1 -2 Normal Score Residual Normal Probability Plot of the Residuals (response is current) 300 290 280 270 260 250 240 230 220 15 10 5 0 Fitted Value Residuals Versus the Fitted Values (response is cur ent) 14-4 a) 1. 0 : 2 1 0 = = τ H 0 one least at : 1 j H 2. 0 : 3 2 1 0 = = = β H 0 one least at : 1 j H b)Analysis of Variance for DENSITY Source DF SS MS F P furnacep 1 7160 7160 16.00 0.002 temperat 2 945342 472671 1056.12 0.000 furnacep*temperat 2 818 409 0.91 0.427 Error 12 5371 448 Total 17 958691 Reject H 0 for both main effects and conclude that both factors are significant.
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ch14 - CHAPTER 14 Section 14-3 14-1 a) H 0 :1 = 2 = 3 = 0 H...

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