Answered: Differentiate between replication and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Transcribed Image Text:Differentiate between replication and repetition measurement in experimental design. (b) "Violation of the basic assumptions for analysis of variance and model adequacy can be easily investigated by the examination of residuals". Explain the examination of residuals in this statement. (c) Three different brands of batteries are studied to identify the batteries lives (in weeks). Five batteries of each brand are tested with the following results in Figure Q1(d). Use Tukey's and Fisher Least Significant Difference (LSD) test to make comparison between means treatment. Interpret the results. Use a = 0.05. (d) One-way ANOVA: Life versus Brand Method Null hypothesis Alternative hypothesis At least one mean is different Significance level All means are equal a - 0.05 Equal variances were assumed for the analysis. Factor Information Factor Levels Values Brand 3 1, 2, 3 Analysis of Variance Source DF Adj ss Adj MS F-Value P-Value 2 1196.1 598.07 12 187.2 15.60 14 1383.3 Brand 38.34 0.000 Error Total Model Summary R-sq R-sq(adj) R-sq (pred) 84.21% 3.94968 86.478 78.86% Means 95 CI 3.35 (91.35, 99.05) 3.85 (75.55, 83.25) (96.55, 104.25) Brand N Mean StDev 5 95.20 5 79.40 5 100.40 4.56 Pooled StDev 3.94968 Figure Q1(d) M123

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