For each of the following exercises, use the previous data

Chapter 13, Problem 21E

(choose chapter or problem)

For each of the following exercises, use the previous

data to complete these parts.

(a) Apply Fisher’s LSD method with \(\alpha=0.05\)  and determine which levels of the factor differ.

(b) Use the graphical method to compare means described in this section and compare your conclusions to those from Fisher’s LSD method.

Cotton percentage in Exercise 13-5. Use \(\alpha=0.05\).

In Design and Analysis of Experiments, 8th edition (John Wiley & Sons, 2012), D. C. Montgomery described an experiment in which the tensile strength of a synthetic fiber was of interest to the manufacturer. It is suspected that strength is related to the percentage of cotton in the fiber. Five levels of cotton percentage were used, and five replicates were run in random order, resulting in the following data.

(a) Does cotton percentage affect breaking strength? Draw comparative box plots and perform an analysis of variance. Use \(\alpha=0.05\).

(b) Plot average tensile strength against cotton percentage and interpret the results.

(c) Analyze the residuals and comment on model adequacy.

Equation Transcription:

 

Text Transcription:

\alpha=0.05

\alpha=0.05

\alpha=0.05

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