To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. Machine 1 Machine 2 Machine 3 Machine 4 6.7 8.7 11.1 9.8 8.0 7.5 10.3 12.9 5.4 9.5 9.6 12.1 7.6 10.1 10.2 10.9 8.6 9.2 9.0 11.3 7.5 9.6 8.6 11.4 Use the Bonferroni adjustment to test for a significant difference between all pairs of means. Assume that a maximum overall experimentwise error rate of 0.05 is desired. Find the value of LSD. (Round your comparisonwise error rate to three decimal places. Round your answer to two decimal places.) LSD = Find the pairwise absolute difference between sample means for each pair of machines. x1 − x2= x1 − x3= x1 − x4= x2 − x3= x2 − x4= x3 − x4= Which treatment means differ significantly? (Select all that apply.) There is a significant difference between the means for Machine 1 and Machine 2.There is a significant difference between the means for Machine 1 and Machine 3.There is a significant difference between the means for Machine 1 and Machine 4.There is a significant difference between the means for Machine 2 and Machine 3.There is a significant difference between the means for Machine 2 and Machine 4.There is a significant difference between the means for Machine 3 and Machine 4.There are no significant 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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To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained.

Machine 1	Machine 2	Machine 3	Machine 4
6.7	8.7	11.1	9.8
8.0	7.5	10.3	12.9
5.4	9.5	9.6	12.1
7.6	10.1	10.2	10.9
8.6	9.2	9.0	11.3
7.5	9.6	8.6	11.4

Use the Bonferroni adjustment to test for a significant difference between all pairs of means. Assume that a maximum overall experimentwise error rate of 0.05 is desired.

Find the value of LSD. (Round your comparisonwise error rate to three decimal places. Round your answer to two decimal places.)

LSD =

Find the pairwise absolute difference between sample means for each pair of machines.

x₁ − x₂=

x₁ − x₃=

x₁ − x₄=

x₂ − x₃=

x₂ − x₄=

x₃ − x₄=

Which treatment means differ significantly? (Select all that apply.)

There is a significant difference between the means for Machine 1 and Machine 2.There is a significant difference between the means for Machine 1 and Machine 3.There is a significant difference between the means for Machine 1 and Machine 4.There is a significant difference between the means for Machine 2 and Machine 3.There is a significant difference between the means for Machine 2 and Machine 4.There is a significant difference between the means for Machine 3 and Machine 4.There are no significant differences.

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