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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

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
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps

Similar questions
Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman