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. Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for the two machines. Use a 0.05 level of significance. What is your conclusion? Which machine, if either, provides the greater opportunity for quality improvements? Machine 1 Machine 2 2.95 3.22 3.45 3.30 3.50 3.34 3.75 3.28 3.48 3.29 3.26 3.25 3.33 3.30 3.20 3.27 3.16 3.38 3.20 3.34 3.22 3.35 3.38 3.19 3.90 3.35 3.36 3.05 3.25 3.36 3.28 3.28 3.20 3.30 3.22 3.28 2.98 3.30 3.45 3.20 3.70 3.16 3.34 3.33 3.18 3.35 3.12 F = to 2 decimals
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. Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for the two machines. Use a 0.05 level of significance. What is your conclusion? Which machine, if either, provides the greater opportunity for quality improvements?
|
Machine 1 |
Machine 2 |
|
2.95 |
3.22 |
|
3.45 |
3.30 |
|
3.50 |
3.34 |
|
3.75 |
3.28 |
|
3.48 |
3.29 |
|
3.26 |
3.25 |
|
3.33 |
3.30 |
|
3.20 |
3.27 |
|
3.16 |
3.38 |
|
3.20 |
3.34 |
|
3.22 |
3.35 |
|
3.38 |
3.19 |
|
3.90 |
3.35 |
|
3.36 |
3.05 |
|
3.25 |
3.36 |
|
3.28 |
3.28 |
|
3.20 |
3.30 |
|
3.22 |
3.28 |
|
2.98 |
3.30 |
|
3.45 |
3.20 |
|
3.70 |
3.16 |
|
3.34 |
3.33 |
|
3.18 |
|
|
3.35 |
|
|
3.12 |
F = to 2 decimals
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
