To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained.MachineMachineMachineMachine1.2346.79.011.09.88.07.610.212.65.69.69.412.17.510.310.010.78.69.49.111.27.410.58.511.4(a) At the a = 0.05 level of significance, what is the difference, if any, in the population mean times among the four machines?State the null and alternative hypotheses.O Ho: Not all the population means are equal.H3: H1 = H2 = Hz = H4O Ho: H1 = H2 = H3= HAH: Hy # Hz # Hz * H4O Ho: H1 # H2 # Hz# HaH: H1 = H2 = H3 = H4Ho: At least two of the population means are equal.H: At least two of the population means are different.O Ho: H1 = H2 = H3 = H4H: Not all the population means are equal.Find the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to three decimal places.)p-value =%3DState your conclusion.O Reject He: There is not sufficient evidence to conclude that the mean time between breakdowns is not the same for the fourmachines.O Do not reject He. There is sufficient evidence to conclude that the mean time between breakdowns is not the same for thefour machines.O Do not reject Ha. There is not sufficient evidence to conclude that the mean time between breakdowns is not the same forthe four machines.O Reject He: There is sufficient evidence to conclude that the mean time between breakdowns is not the same for the fourmachines.(b) Use Fisher's LSD procedure to test for the equality of the means for machines 2 and 4. Use a 0.05 level of significance.Find the value of LSD. (Round your answer to two decimal places.)LSD =Find the pairwise absolute difference between sample means for machines 2 and 4.What conclusion can you draw after carrying out this test?O There is a significant difference between the means for machines 2 and 4.O There is not a significant difference between the means for machines 2 and 4.

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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. Machine1 Machine2 Machine3 Machine4 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…
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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 Machine Machine Machine 3 4 6.7 9.0 11.0 9.8 8.0 7.6 10.2 12.6 5.6 9.6 9.4 12.1 7.5 10.3 10.0 10.7 8.6 9.4 9.1 11.2 7.4 10.5 8.5 11.4