****** 2. 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? Machine 2.95 3.45 3.75 3.38 3.48 3.26 3.36 3.33 3.20 3.28 3.50 3.90 3.16 3.20 3.12 3.22 3.20 3.22 3.25 3.22 2.98 3.45 3.70 3.34 3.18 3.35 Machine 3.30 3.34 3.28 3.29 3.25 3.30 3.27 3.36 3.38 3.30 3.35 3.19 3.20 3.35 3.16 3.05 3.28 3.34 3.28 3.30 3.33 2.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 18HP
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Question
******
2.
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?
Machine
2.95
3.45
3.75
3.38
3.48
3.26
3.36
3.33
3.20
3.28
3.50
3.90
3.16
3.20
3.12
3.22
3.20
3.22
3.25
3.22
2.98
3.45
3.70
3.34
3.18
3.35
Machine
3.30
3.34
3.28
3.29
3.25
3.30
3.27
3.36
3.38
3.30
3.35
3.19
3.20
3.35
3.16
3.05
3.28
3.34
3.28
3.30
3.33
2.
Transcribed Image Text:****** 2. 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? Machine 2.95 3.45 3.75 3.38 3.48 3.26 3.36 3.33 3.20 3.28 3.50 3.90 3.16 3.20 3.12 3.22 3.20 3.22 3.25 3.22 2.98 3.45 3.70 3.34 3.18 3.35 Machine 3.30 3.34 3.28 3.29 3.25 3.30 3.27 3.36 3.38 3.30 3.35 3.19 3.20 3.35 3.16 3.05 3.28 3.34 3.28 3.30 3.33 2.
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