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mont4e_sm_ch13_sec02 - CHAPTER 13 Section 13-2 13-1 a...

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CHAPTER 13 Section 13-2 13-1. a) Analysis of Variance for STRENGTH Source DF SS MS F P COTTON 4 475.76 118.94 14.76 0.000 Error 20 161.20 8.06 Total 24 636.96 Reject H 0 and conclude that cotton percentage affects mean breaking strength. 35 30 25 20 15 25 15 5 COTTON STRENGTH b) Tensile strength seems to increase up to 30% cotton and declines at 35% cotton. Cotton Percentage Mean Strength 35 30 25 20 15 22 20 18 16 14 12 10 Scatterplot of Mean Strength vs Cotton Percentage Individual 95% CIs For Mean Based on Pooled StDev Level N Mean StDev ------+---------+---------+---------+ 15 5 9.800 3.347 (-----*----) 20 5 15.400 3.130 (----*----) 25 5 17.600 2.074 (----*----) 30 5 21.600 2.608 (----*----) 35 5 10.800 2.864 (-----*----) ------+---------+---------+---------+ Pooled StDev = 2.839 10.0 15.0 20.0 25.0 c) The normal probability plot and the residual plots show that the model assumptions are reasonable. 13-1
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20 15 10 6 5 4 3 2 1 0 -1 -2 -3 -4 Fitted Value Residual Residuals Versus the Fitted Values (response is STRENGTH) 2 1 0 -1 -2 6 5 4 3 2 1 0 -1 -2 -3 -4 Normal Score Residual Normal Probability Plot of the Residuals (response is STRENGTH) 35 25 15 6 5 4 3 2 1 0 -1 -2 -3 -4 COTTON Residual Residuals Versus COTTON (response is STRENGTH) 13-2 a) Analysis of Variance for FLOW Source DF SS MS F P FLOW 2 3.6478 1.8239 3.59 0.053 Error 15 7.6300 0.5087 Total 17 11.2778 Do not reject H 0 . There is no evidence that flow rate affects etch uniformity. 200 160 125 5 4 3 FLOW UNIFORMIT b) Residuals are acceptable. -1 0 1 -2 -1 0 1 2 Normal Score Residual Normal Probability Plot of the Residuals (response is obs) 13-2
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