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 7.4 9.4 10.1 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 Conclusion 1-2 Significant difference -2.8 Significant difference -4.3 Significant difference -0.8 No significant difference -2.3 Significant difference No significant difference

Explanation / Answer

Using R software:

> x1 <- c(6.4,7.8,5.3,7.4,8.4,7.3)
> x2 <- c(8.7,7.4,9.4,10.1,9.2,9.8)
> x3 <- c(11.1,10.3,9.7,10.3,9.2,8.8)
> x4 <- c(9.9,12.8,12.1,10.8,11.3,11.5)
> mean(x1)-mean(x2)
[1] -2
> mean(x1)-mean(x3)
[1] -2.8
> mean(x1)-mean(x4)
[1] -4.3
> mean(x2)-mean(x3)
[1] -0.8
> mean(x2)-mean(x4)
[1] -2.3
> mean(x3)-mean(x4)
[1] -1.5

given aboslute value take positive value

x1-x2 2 x1-x3 2.8 x1-x4 4.3 x2-x3 0.8 x2-x4 2.3 x3-x4 1.5

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.