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mont4e_sm_ch15_sec05

# mont4e_sm_ch15_sec05 - Section 15-5 15-24 a Kruskal-Wallis...

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Section 15-5 15-24 a) Kruskal-Wallis Test on strength methods N Median Ave Rank Z 1 5 550.0 8.7 0.43 2 5 553.0 10.7 1.65 3 5 528.0 4.6 -2.08 Overall 15 8.0 15-10

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H = 4.83 DF = 2 P = 0.089 H = 4.84 DF = 2 P = 0.089 (adjusted for ties) Do not reject H 0 . The conditioning method does not have an effect on the breaking strength at α = 0.05. b) The P-value is about 0.089 (use the chi-square distribution) 15-25 a) Kruskal-Wallis Test on strength mixingte N Median Ave Rank Z 1 4 2945 9.6 0.55 2 4 3075 12.9 2.12 3 4 2942 9.0 0.24 4 4 2650 2.5 -2.91 Overall 16 8.5 H = 10.00 DF = 3 P = 0.019 H = 10.03 DF = 3 P = 0.018 (adjusted for ties) * NOTE * One or more small samples Reject H 0 and conclude that the mixing technique has an effect on the strength. b) P -value = 0.018 (use the chi-square distribution) 15-26 a) Kruskal-Wallis Test on angle manufact N Median Ave Rank Z 1 5 39.00 7.6 -1.27 2 5 44.00 12.4 0.83 3 5 48.00 15.8 2.31 4 5 30.00 6.2 -1.88 Overall 20 10.5 H = 8.37 DF = 3 P = 0.039 Do not reject H 0 . There is not a significant difference between the manufacturers at α = 0.01. b) The P-value is about 0.039 (use the chi-square distribution) 15-27 a) Following is the data and ranks for the conductivity test. Type r_i. Coating Type 1 141 143 146 150 10 12.5 15 19 56.5 Coating Type 2 137 143 149 152 9 12.5 18 20 59.5 Coating Type 3 127 132 133 134 1.5 5.5 7 8 22 Coating Type 4 127 129 129 132 1.5 3.5 3.5 5.5 14 Coating Type 5 142 144 147 148 11 14 16 17 58 Since there is a fairly large number of ties, we use Equation 15-12 as the test statistic.
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