To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. M1 6.6 8.1 5.5 7.7 Use the Bonferroni adjustment to 8.5 test for a significant difference 7.4 between all pairs of means. Assume that a maximum overall experimentwise error rate of 0.05 is desired. Find the value of LSD. (Round 1.9 your comparisonwise error rate to three decimal places. Round your answer to two decimal places.) LSD = M2 8.9 7.4 9.5 10.2 9.3 9.9 - x₂ - = = M 3 11.0 10.0 9.6 10.1 8.9 8.6 || 2.4 = 0.5 3.9 2 1.5 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 difference between the means for Machine 1 and Machine 4. There is a significant difference between the means for Machine 2 and Machine 3. There is a significant difference between the means for Machine 2 and Machine 4. There is a significant difference between the means for Machine 3 and Machine 4. There are no significant differences. M4 9.7 12.6 11.8 10.7 11.2 11.2

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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.
M1
6.6
8.1
5.5
7.7
Use the Bonferroni adjustment to 8.5
test for a significant difference
7.4
between all pairs of means.
Assume that a maximum overall experimentwise error rate of 0.05 is desired.
Find the value of LSD. (Round
1.9
your comparisonwise error rate
to three decimal places. Round
your answer to two decimal places.)
LSD =
M2
8.9
7.4
9.5
10.2
9.3
9.9
-
x₂ -
=
=
M 3
11.0
10.0
9.6
10.1
8.9
8.6
||
2.4
= 0.5
3.9
2
1.5
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 difference between the means for Machine 1 and Machine 4.
There is a significant difference between the means for Machine 2 and Machine 3.
There is a significant difference between the means for Machine 2 and Machine 4.
There is a significant difference between the means for Machine 3 and Machine 4.
There are no significant differences.
M4
9.7
12.6
11.8
10.7
11.2
11.2
Transcribed Image Text:To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. M1 6.6 8.1 5.5 7.7 Use the Bonferroni adjustment to 8.5 test for a significant difference 7.4 between all pairs of means. Assume that a maximum overall experimentwise error rate of 0.05 is desired. Find the value of LSD. (Round 1.9 your comparisonwise error rate to three decimal places. Round your answer to two decimal places.) LSD = M2 8.9 7.4 9.5 10.2 9.3 9.9 - x₂ - = = M 3 11.0 10.0 9.6 10.1 8.9 8.6 || 2.4 = 0.5 3.9 2 1.5 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 difference between the means for Machine 1 and Machine 4. There is a significant difference between the means for Machine 2 and Machine 3. There is a significant difference between the means for Machine 2 and Machine 4. There is a significant difference between the means for Machine 3 and Machine 4. There are no significant differences. M4 9.7 12.6 11.8 10.7 11.2 11.2
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