To test for any significant difference in the mean number of hours between breakdowns for four machines, the following data were obtained.   Machine 1 Machine 2 Machine 3 Machine 4 6.4 8.7   11.1   9.9   7.8 7.4   10.3   12.8   5.3 9.4   9.7   12.1   7.4 10.1   10.3   10.8   8.4 9.2   9.2   11.3   7.3 9.8   8.8   11.5     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)? Using t = 2.845 for the above error rate, calculate the Bonferroni LSD value (to 2 decimals).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Topic Video
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 Machine 2 Machine 3 Machine 4
6.4 8.7   11.1   9.9  
7.8 7.4   10.3   12.8  
5.3 9.4   9.7   12.1  
7.4 10.1   10.3   10.8  
8.4 9.2   9.2   11.3  
7.3 9.8   8.8   11.5  

 

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)?

Using t = 2.845 for the above error rate, calculate the Bonferroni LSD value (to 2 decimals).

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill