To test for any significant difference in the mean number of hours between break

Question

To test for any significant difference in the mean number of hours between breakdowns for four machines, the following data were obtained Machine 1 6.4 7.8 5.3 7.4 8.4 7.3 Machine 2 Machine 3 11.1 10.3 9.7 10.3 9.2 8.8 Machine 4 9.9 12.8 12.1 10.8 11.3 11.5 8.7 7.4 10.1 9.2 9.8 The mean times between breakdowns are 7.1, 9.1, 9.9 and 11.4 hours respectively. In the analysis of variance, MSTR 19.26 and MSE = .97. Use the Bonferroni adjustment to test for a significant difference between all pairs of means. Assume that a maximum overall experiment error rate of .05 is desired There are six pairwise comparisons among the 4 machines. What error rate should be used for each pairwise comparison (to 4 decimals)? 0.049 Using t 2.845 for the above error rate, calculate the Bonferroni LSD value (to 2 decimals) 1.62 Complete the table below to determine whether there are any significant differences between population means Difference Absolute Value x1-x2 T1-T3 Conclusion 2 Significant difference -2.8 Significant difference -4.3 Significant difference 0.8 No significant difference -2.3 Significant difference No significant difference

Explanation / Answer

here total number of pairs =n(n-1)/2=4*(4-1)/2=6

hence error rate =(0.05/6)=0.0083

also for significanct difference use only positive values in absolute value column.

( please revert if any clarriifcation required)

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