1. An experiment investigated the effects of different bleaching chemicals on pulp brightness. Three chemicals were selected atrandom from a large population of potential bleaching chemicals. Summary statistics on pulp brightness are given below: Bleaching Chemical Sample Size Sample Mean Sample SD 1 2 8.607 5.146 6 72.843 6 83.386 3 5 77.257 5.460 An ANOVA table for analyzing the data is given below: Source DF SS MS F P-value Chemical 2 336.0 168.02 3.781 0.0486 Error 14 622.1 44.44 Total 16 958.1 Refer to formula set 10K for all the problems below. a. Briefly explain why a random-effects model is appropriate here. b. Carry out the hypothesis test based on the ANOVA table at the a = 0.10 levelof significance. Show all 4 steps in hypothesis testing that we followinclass. Use the P-value provided above. C Estimate of the variability due to bleaching chemicals. Show some calculations. d. What is an estimate of total variance in a single pulp brightness value? e. What proportion of total variation in a single pulp brightness value is attributed to differences

1. An experiment investigated the effects of different bleaching chemicals on pulp brightness. Three chemicals were selected atrandom from a large population of potential bleaching chemicals. Summary statistics on pulp brightness are given below: Bleaching Chemical Sample Size Sample Mean Sample SD 1 2 8.607 5.146 6 72.843 6 83.386 3 5 77.257 5.460 An ANOVA table for analyzing the data is given below: Source DF SS MS F P-value Chemical 2 336.0 168.02 3.781 0.0486 Error 14 622.1 44.44 Total 16 958.1 Refer to formula set 10K for all the problems below. a. Briefly explain why a random-effects model is appropriate here. b. Carry out the hypothesis test based on the ANOVA table at the a = 0.10 levelof significance. Show all 4 steps in hypothesis testing that we followinclass. Use the P-value provided above. C Estimate of the variability due to bleaching chemicals. Show some calculations. d. What is an estimate of total variance in a single pulp brightness value? e. What proportion of total variation in a single pulp brightness value is attributed to differences

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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