[Question N] You have a completely randomized design of four…

Questions

[Questiоn N] Yоu hаve а cоmpletely rаndomized design of four treatments for your grocery bag manufacturing. You want to improve the tensile strength of the bags, and your engineers think the tensile strength can be a function of the hardwood concentration in the pulp. Higher tensile strength is better. A team of engineers is investigating four levels of hardwood in the pulp, cleverly called Levels A, B, C, and D. You've run the ANOVA below in Excel on data taken from a fully randomized experiment. The numbers refer to tensile strength. What is your analysis of the results? In particular, does the treatment make a statistically significant difference, and if so, which treatment(s) are better or worse? If you can, list them in order from best to worst. If you can’t, tell me why you can’t. Test at alpha = 0.05. Anova: Single Factor SUMMARY Groups Count Sum Average Variance A 7 89 12.71 3.24 B 7 126 18.00 0.67 C 7 94 13.43 2.29 D 7 70 10.00 1.00 ANOVA Source of Variation SS Df MS F P-value F crit Between Groups 231.8214286 3 77.27380952 42.98675497 8.30 E-10 3.00878657 Within Groups 43.14285714 24 1.797619048 Total 274.9642857 27

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