Bag-Filling Machines at Jelly Belly. 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. Jelly Belly Candy Company is testing two machines that use different technologies to fill three pound bags of jelly beans. The file Bags contains a sample of data on the weights of bags (in pounds) filled by each machine. Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for two machines. Use a .05 level of significance. What is your conclusion? Which machine, if either, provides the greater opportunity for quality improvements? Machine 1 Machine 2 1.34 1.46 1.57 1.50 1.59 1.52 1.70 1.49 1.58 1.50 1.48 1.48 1.51 1.50 1.45 1.49 1.44 1.54 1.45 1.52 1.46 1.52 1.54 1.45 1.77 1.52 1.53 1.39 1.48 1.53 1.49 1.49 1.45 1.50 1.46 1.49 1.35 1.50 1.57 1.45 1.68 1.44 1.52 1.51 1.45 1.52 1.42
Bag-Filling Machines at Jelly Belly. 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. Jelly Belly Candy Company is testing two machines that use different technologies to fill three pound bags of jelly beans. The file Bags contains a sample of data on the weights of bags (in pounds) filled by each machine. Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for two machines. Use a .05 level of significance. What is your conclusion? Which machine, if either, provides the greater opportunity for quality improvements?
|
Machine 1 |
Machine 2 |
|
1.34 |
1.46 |
|
1.57 |
1.50 |
|
1.59 |
1.52 |
|
1.70 |
1.49 |
|
1.58 |
1.50 |
|
1.48 |
1.48 |
|
1.51 |
1.50 |
|
1.45 |
1.49 |
|
1.44 |
1.54 |
|
1.45 |
1.52 |
|
1.46 |
1.52 |
|
1.54 |
1.45 |
|
1.77 |
1.52 |
|
1.53 |
1.39 |
|
1.48 |
1.53 |
|
1.49 |
1.49 |
|
1.45 |
1.50 |
|
1.46 |
1.49 |
|
1.35 |
1.50 |
|
1.57 |
1.45 |
|
1.68 |
1.44 |
|
1.52 |
1.51 |
|
1.45 |
|
|
1.52 |
|
|
1.42 |
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