To test for any significant difference in the mean number of hours between breakdowns for four machines, the following data were obtained.   Machine 1 Machine 2 Machine 3 Machine 4 6.4 8.7   11.1   9.9   7.8 7.4   10.3   12.8   5.3 9.4   9.7   12.1   7.4 10.1   10.3   10.8   8.4 9.2   9.2   11.3   7.3 9.8   8.8   11.5     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)? Using t = 2.845 for the above error rate, calculate the Bonferroni LSD value (to 2 decimals).

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To test for any significant difference in the mean number of hours between breakdowns for four machines, the following data were obtained.

 

Machine 1 Machine 2 Machine 3 Machine 4
6.4 8.7   11.1   9.9  
7.8 7.4   10.3   12.8  
5.3 9.4   9.7   12.1  
7.4 10.1   10.3   10.8  
8.4 9.2   9.2   11.3  
7.3 9.8   8.8   11.5  

 

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)?

Using t = 2.845 for the above error rate, calculate the Bonferroni LSD value (to 2 decimals).

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