Question
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
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 the two machines. Use a .05 level of significance. What is your conclusion? Which machine, if either, provides the greater opportunity for quality improvements? Click on the datafile logo to reference the data
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 | MEAN | 3.33 | 3.28 | |
3.36 | 3.05 | STANDARD DEVIATION | 0.22 | 0.08 | |
3.25 | 3.36 | COUNT | 25.00 | 22.00 | |
3.28 | 3.28 | STND ERROR OF MEAN | 0.04 | 0.02 | |
3.20 | 3.30 | DEGREES OF FREEDOM | 24.00 | 21.00 | |
3.22 | 3.28 | VARIANCE | 0.05 | 0.01 | |
2.98 | 3.30 | ||||
3.45 | 3.20 | ||||
3.70 | 3.16 | ||||
3.34 | 3.33 | ||||
3.18 | |||||
3.35 | |||||
3.12 | |||||
83.21 | 72.12 |
The variance on machine #1 is .05 but #2 is not .01 and I need help to solve for F
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