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Statistics Homework Solutions 217

# Statistics Homework Solutions 217 - 1:1 73333 1:5 30000...

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SECTION 9.3 217 (c) Yes, the interactions may plausibly be equal to 0. The value of the test statistic is 1.8185, its null distribution is F 2 24 , and P 0 10 ( P 0 184). (d) Yes, since the additive model is plausible. The mean coefficient of friction differs between CPTi-ZrO 2 and TiAlloy-ZrO 2 : F 1 24 23 630, P 0 001. (e) Yes, since the additive model is plausible. The mean coefficient of friction is not the same for all neck lengths: F 2 24 5 6840, P 0 01. To determine which pairs of effects differ, we use q 3 24 05 3 53. We compute 3 53 0 002499 10 0 056. We conclude that the effect of long neck length differs from both short and medium lengths, but we cannot conclude that the effects of short and medium lengths differ from each other. 13. (a) Main Effects of Concentration 15 0 16667 40 0 067778 100 0 098889
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Unformatted text preview: 1:1 73333 1:5 30000 1:10 43333 Interactions Delivery Ratio Concentration 1:1 1:5 1:10 15 66778 30222 36556 40 20111 064444 26556 100 46667 36667 10000 (b) Source DF SS MS F P Concentration 2 0.37936 0.18968 3.8736 0.040 Delivery Ratio 2 7.34 3.67 74.949 0.000 Interaction 4 3.4447 0.86118 17.587 0.000 Error 18 0.8814 0.048967 Total 26 12.045 (c) No. The The value of the test statistic is 17.587, its null distribution is F 4 18 , and P 0. (d) 1:1 1:5 1:10 0.5 1 1.5 2 2.5 3 Delivery Ratio Sorption (%) concentration = 15 concentration = 40 concentration = 100 The slopes of the line segments are quite different from one another, indicating a high degree of interaction....
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