2. (This problem is required to submit) 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? (70%) (Note: without calculation process, explanation, and conclusion, no credit) 2.95 Machine 3.45 3.50 3.75 3.48 3.26 3.33 3.20 1 3.16 3.20 3.22 3.38 3.90 3.36 3.25 3.28 3.20 3.22 2.98 3.45 3.70 3.34 3.18 3.35 3.12 Machine 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.27 2 3.38 3.34 3.35 3.19 3.35 3.05 3.36 3.28 3.30 3.28 3.30 3.20 3.16 3.33

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
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Chapter4: Equations Of Linear Functions
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2. (This problem is required to submit) 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 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? (70%) (Note:
without calculation process, explanation, and conclusion, no credit)
а.
Machine
2.95
3.45
3.50
3.75
3.48
3.26
3.33
3.20
1
3.16
3.20
3.22
3.38
3.90
3.36
3.25
3.28
3.20
3.22
2.98
3.45
3.70
3.34
3.18
3.35
3.12
Machine
3.22
3.30
3.34
3.28
3.29
3.25
3.30
3.27
3.38
3.34
3.35
3.19
3.35
3.05
3.36
3.28
3.30
3.28
3.30
3.20
3.16
3.33
Transcribed Image Text:2. (This problem is required to submit) 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 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? (70%) (Note: without calculation process, explanation, and conclusion, no credit) а. Machine 2.95 3.45 3.50 3.75 3.48 3.26 3.33 3.20 1 3.16 3.20 3.22 3.38 3.90 3.36 3.25 3.28 3.20 3.22 2.98 3.45 3.70 3.34 3.18 3.35 3.12 Machine 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.27 3.38 3.34 3.35 3.19 3.35 3.05 3.36 3.28 3.30 3.28 3.30 3.20 3.16 3.33
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