****** 2. The variance in a production process is an important measure of the quality of the process. A large variance often signals an opportunity for improvement in the process by finding ways to reduce the process variance. a. Conduct a statistical hypothesis test to determine whether there is a significant difference between the variances in the bag weights for two machines. (30%) b. Use a 0.05 level of significance and the p-value approach. What is your conclusion? Which machine, if either, provides the greater opportunity for quality improvements? Machine 2.95 3.45 3.75 3.38 3.48 3.26 3.36 3.33 3.20 3.28 3.50 3.90 3.16 3.20 3.12 3.22 3.20 3.22 3.25 3.22 2.98 3.45 3.70 3.34 3.18 3.35 Machine 3.30 3.34 3.28 3.29 3.25 3.30 3.27 3.36 3.38 3.30 3.35 3.19 3.20 3.35 3.16 3.05 3.28 3.34 3.28 3.30 3.33 2.
****** 2. The variance in a production process is an important measure of the quality of the process. A large variance often signals an opportunity for improvement in the process by finding ways to reduce the process variance. a. Conduct a statistical hypothesis test to determine whether there is a significant difference between the variances in the bag weights for two machines. (30%) b. Use a 0.05 level of significance and the p-value approach. What is your conclusion? Which machine, if either, provides the greater opportunity for quality improvements? Machine 2.95 3.45 3.75 3.38 3.48 3.26 3.36 3.33 3.20 3.28 3.50 3.90 3.16 3.20 3.12 3.22 3.20 3.22 3.25 3.22 2.98 3.45 3.70 3.34 3.18 3.35 Machine 3.30 3.34 3.28 3.29 3.25 3.30 3.27 3.36 3.38 3.30 3.35 3.19 3.20 3.35 3.16 3.05 3.28 3.34 3.28 3.30 3.33 2.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2.
The variance in a production process is an important
measure of the quality of the process. A large variance often signals an opportunity for improvement
in the process by finding ways to reduce the process variance.
a. Conduct a statistical hypothesis test to determine whether there is a significant difference between
the variances in the bag weights for two machines. (30%)
b. Use a 0.05 level of significance and the p-value approach. What is your conclusion? Which
machine, if either, provides the greater opportunity for quality improvements?
Machine
2.95
3.45
3.75
3.38
3.48
3.26
3.36
3.33
3.20
3.28
3.50
3.90
3.16
3.20
3.12
3.22
3.20
3.22
3.25
3.22
2.98
3.45
3.70
3.34
3.18
3.35
Machine
3.30
3.34
3.28
3.29
3.25
3.30
3.27
3.36
3.38
3.30
3.35
3.19
3.20
3.35
3.16
3.05
3.28
3.34
3.28
3.30
3.33
2.
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