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 2 6.5 8.9 11.0 9.7 7.9 7.6 10.2 12.5 5.5 9.4 9.6 11.8 7.5 10.3 10.2 10.5 8.4 9.2 9.1 11.0 7.4 9.8 8.1 11.7 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 = 0.02 Find the pairwise absolute difference between sample means for each pair of machines. = -2 |× - - -2.5 -4 2 -| - 05 -| - 2 3 - - 15 -0.5 Which treatment means differ significantly? (Select all that apply.) O There is a significant difference between the means for Machine 1 and Machine 2. O There is a significant difference between the means for Machine 1 and Machine 3. O There is a significant difference between the means for Machine 1 and Machine 4. O There is a significant difference between the means for Machine 2 and Machine 3. O There is a significant difference between the means for Machine 2 and Machine 4. O There is a significant difference between the means for Machine 3 and Machine 4. There are no significant differences.
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 2 6.5 8.9 11.0 9.7 7.9 7.6 10.2 12.5 5.5 9.4 9.6 11.8 7.5 10.3 10.2 10.5 8.4 9.2 9.1 11.0 7.4 9.8 8.1 11.7 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 = 0.02 Find the pairwise absolute difference between sample means for each pair of machines. = -2 |× - - -2.5 -4 2 -| - 05 -| - 2 3 - - 15 -0.5 Which treatment means differ significantly? (Select all that apply.) O There is a significant difference between the means for Machine 1 and Machine 2. O There is a significant difference between the means for Machine 1 and Machine 3. O There is a significant difference between the means for Machine 1 and Machine 4. O There is a significant difference between the means for Machine 2 and Machine 3. O There is a significant difference between the means for Machine 2 and Machine 4. O 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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Transcribed Image Text: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 |
|--------|-----------|-----------|-----------|-----------|
| | **6.5** | 8.9 | 11.0 | 9.7 |
| | 7.9 | 7.6 | 10.2 | 12.5 |
| | 8.5 | 9.8 | 9.6 | 11.8 |
| | 7.5 | 10.3 | 10.2 | 10.5 |
| | 8.4 | 9.2 | 9.1 | 11.0 |
| | 7.4 | 9.8 | 8.1 | 11.7 |
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 = \(\underline{0.02}\) ❌
Find the pairwise absolute difference between sample means for each pair of machines.
| | | |
|----------------|----------------|-------|
| \(|\bar{x}_1 - \bar{x}_2|\) = | \(\underline{2}\) | ❌ |
| \(|\bar{x}_1 - \bar{x}_3|\) = | \(\underline{2.5}\) | ❌ |
| \(|\bar{x}_1 - \bar{x}_4|\) = | \(\underline{.4}\) | ❌ |
| \(|\bar{x}_2 - \bar{x}_3|\) = | \(\underline{.5}\) | ❌ |
| \(|\bar{x}_2 - \bar{x}_4|\) = | \(\underline{2}\) | ❌ |
| \(|\bar{x}_3 - \bar{x}_4|\) = | \(\underline{1.5
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