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The article Fatigue Limits of Enamel Bonds withMoist and Dry Techniques (Dental

ISBN: 9781305251809 122

Solution for problem 20 Chapter 11.2

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 20

The article Fatigue Limits of Enamel Bonds withMoist and Dry Techniques (Dental Materials, 2009:15271531) described an experiment to investigate theability of adhesive systems to bond to mineralized toothstructures. The response variable is shear bond strength(MPa), and two different adhesives (Adper Single BondPlus and OptiBond Solo Plus) were used in combinationwith two different surface conditions. The accompanyingdata was supplied by the authors of the article. The first 12observations came from the SBP-dry treatment, the next12 from the SBP-moist treatment, the next 12 from theOBP-dry treatment, and the last 12 from the OBP-moisttreatment.56.7 57.4 53.4 54.0 49.9 49.956.2 51.9 49.6 45.7 56.8 54.149.2 47.4 53.7 50.6 62.7 48.841.0 57.4 51.4 53.4 55.2 38.938.8 46.0 38.0 47.0 46.2 39.825.9 37.8 43.4 40.2 35.4 40.340.6 35.5 58.7 50.4 43.1 61.733.3 38.7 45.4 47.2 53.3 44.9a. Construct a comparative boxplot of the data on thefour different treatments and comment.b. Carry out an appropriate analysis of variance andstate your conclusions (use a significance level of .01for any tests). Include any graphs that provide insight.c. If a significance level of .05 is used for the two-wayANOVA, the interaction effect is significant (just asin general different glues work better with somematerials than with others). So now it makes senseto carry out a one-way ANOVA on the four treatmentsSBP-D, SBP-M, OBP-D, and OBP-M. Dothis, and identify significant differences among thetreatments.

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Sample Distributions (Chapter 10) Important definitions explained in these notes:  Sample space  Event  Parameter  Statistical inference  The Law of Large Numbers  Discrete Probability Models  Continuous Probability Models  Random Variable  Random Variable  X bar or xx  Central Limit Theorem  An unbiased estimator...

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The article Fatigue Limits of Enamel Bonds withMoist and Dry Techniques (Dental

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