To test for any significant difference in the mean number of hours between breakdowns for four machines, the following data were obtained. Excel File: data13-19.xlsx Difference Absolute Value T1 - T₂ T1-T3 14 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. T2 - T3 T2 - T4 There are six pairwise comparisons among the 4 machines. What error rate should be used for each pairwise comparison (to 4 decimals)? 0.0490X T3 - T4 Using t = 2.927 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 (to 1 decimal). -2.0 -2.8 -4.3 X -0.8 -2.3 X -1.5 X X X Conclusion Significant difference Significant difference Significant difference Machine 1 6.4 7.8 5.3 7.4 No significant difference ✓ 8.4 7.3 Significant difference Machine 2 8.7 7.4 9.4 10.1 9.2 9.8 No significant difference ✓ 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
To test for any significant difference in the mean number of hours between breakdowns for four machines, the following data were obtained. Excel File: data13-19.xlsx Difference Absolute Value T1 - T₂ T1-T3 14 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. T2 - T3 T2 - T4 There are six pairwise comparisons among the 4 machines. What error rate should be used for each pairwise comparison (to 4 decimals)? 0.0490X T3 - T4 Using t = 2.927 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 (to 1 decimal). -2.0 -2.8 -4.3 X -0.8 -2.3 X -1.5 X X X Conclusion Significant difference Significant difference Significant difference Machine 1 6.4 7.8 5.3 7.4 No significant difference ✓ 8.4 7.3 Significant difference Machine 2 8.7 7.4 9.4 10.1 9.2 9.8 No significant difference ✓ 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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Transcribed Image Text:To test for any significant difference in the mean number of hours between breakdowns for four machines, the following data were obtained.
Excel File: data13-19.xlsx
1.62
Difference Absolute Value
1 - 2
The mean times between breakdowns are 7.1, 9.1, 9.9 and 11.4 hours respectively. In the analysis of variance, MSTR =
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)?
0.0490
Using t = 2.927 for the above error rate, calculate the Bonferroni LSD value (to 2 decimals).
T1-T3
X1 X4
T2
Complete the table below to determine whether there are any significant differences between population means (to 1 decimal).
T3
X2 X4
T3
-
X4
-2.0
-2.8
-4.3
-0.8
-2.3
-1.5
Conclusion
Significant difference
Significant difference
Significant difference
No significant difference
Machine 1
6.4
7.8
5.3
7.4
8.4
7.3
Significant difference
Machine 2
8.7
7.4
9.4
10.1
9.2
9.8
No significant difference
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
19.26 and MSE = .97. Use the Bonferroni adjustment to test
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