i. a) Independent random samples from different brands of recently produced alkaline batteries were placed on a life test. The following lifetimes (in minutes) were observed. Brand A Brand B Brand C Brand D 108 ii. iii. iv. V. 110 113 108 115 67 83 Pressure (psi) 85 (v) 118 116 112 117 Graph the sample data. Do you see a difference in the average lifetimes for these for brands? Explain. Assume that model I is approriate for the experiment, test the relevant hypothesis at the 0.05 level of significance. Use Newman-Keuls Procedure to determine which, if any, of these four brands are discernibly different, on average. Compute a 95% confidence interval estimate of the mean of the difference between brands B and D. Homework: Repeat (iii) but now using the LSD and DMRT methods and compare the results. (b) The following data are on the pressure in a torsion for several tube types the angle between the legs of the spring in a free position. 84 85 85 86 86 85 107 Angle of Legs of Spring (degrees) 71 75 112 108 86 87 87 87 87 88 88 88 88 88 89 90 117 112 115 119 79 83 80 90 90 92 90 91 (i) Assuming a CRD, complete a one-way analysis of variance for this experiment at the 0.05 level of significance. (ii) Perform pairwise comparison using the LSD method, if necessary. (iii) Repeat (ii) but using SNK method. (iv) Compute a 95% confidence interval estimate of the mean of the difference between angle 67 and 71. Compute a 95% confidence interval estimate of the mean of the difference between angle 67 and 83.
i. a) Independent random samples from different brands of recently produced alkaline batteries were placed on a life test. The following lifetimes (in minutes) were observed. Brand A Brand B Brand C Brand D 108 ii. iii. iv. V. 110 113 108 115 67 83 Pressure (psi) 85 (v) 118 116 112 117 Graph the sample data. Do you see a difference in the average lifetimes for these for brands? Explain. Assume that model I is approriate for the experiment, test the relevant hypothesis at the 0.05 level of significance. Use Newman-Keuls Procedure to determine which, if any, of these four brands are discernibly different, on average. Compute a 95% confidence interval estimate of the mean of the difference between brands B and D. Homework: Repeat (iii) but now using the LSD and DMRT methods and compare the results. (b) The following data are on the pressure in a torsion for several tube types the angle between the legs of the spring in a free position. 84 85 85 86 86 85 107 Angle of Legs of Spring (degrees) 71 75 112 108 86 87 87 87 87 88 88 88 88 88 89 90 117 112 115 119 79 83 80 90 90 92 90 91 (i) Assuming a CRD, complete a one-way analysis of variance for this experiment at the 0.05 level of significance. (ii) Perform pairwise comparison using the LSD method, if necessary. (iii) Repeat (ii) but using SNK method. (iv) Compute a 95% confidence interval estimate of the mean of the difference between angle 67 and 71. Compute a 95% confidence interval estimate of the mean of the difference between angle 67 and 83.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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