Reconsider the axial stiffness data given in Exercise

Chapter 10, Problem 16

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Reconsider the axial stiffness data given in Exercise 8.ANOVA output from Minitab follows:Analysis of Variance for StiffnessSource DF SS MS F PLength 4 43993 10998 10.48 0.000Error 30 31475 1049Total 34 75468Level N Mean StDev4 7 333.21 36.596 7 368.06 28.578 7 375.13 20.8310 7 407.36 44.5112 7 437.17 26.00Pooled StDev 5 32.39Tukeys pairwise comparisonsFamily error rate 5 0.0500Individual error rate 5 0.00693Critical value 5 4.10Intervals for (column level mean) (row levelmean) 4 6 8 106 285.0 15.48 292.1 257.3 8.3 43.110 2124.3 289.5 282.4223.9 10.9 18.012 2154.2 2119.3 2112.2 280.0253.8 218.9 211.8 20.4a. Is it plausible that the variances of the five axial stiffnessindex distributions are identical? Explain.b. Use the output (without reference to our F table) totest the relevant hypotheses.c. Use the Tukey intervals given in the output to determinewhich means differ, and construct the correspondingunderscoring pattern.

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