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

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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

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