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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 8SGR
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Transcribed Image Text:State your conclusion.
Do not reject Ho. We cannot conclude that the process variances are significantly different.
Reject Ho. We cannot conclude that the process variances are significantly different.
Reject Ho. We can conclude that the process variances are significantly different.
Do not reject Ho. We can conclude that the process variances are significantly different.
Which machine, if either, provides the greater opportunity for quality improvements?
Machine 1 offers the best opportunity for process quality improvements.
Machine 2 offers the best opportunity for process quality improvements.
Neither machine offers an opportunity for process quality improvements.
9 O O O
Transcribed Image Text: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.
Machine 1
Machine 2
2.95
3.45
3.50
3.75
3.48
3.26
3.33
3.20
3.22
3.30
3.34
3.28
3.29
3.25
3.30
3.26
3.16
3.20
3.22
3.38
3.90
3.36
3.25
3.28
3.39
3.34
3.35
3.19
3.35
3.05
3.36
3.28
3.20
3.22
2.98
3.45
3.70
3.34
3.18
3.35
3.30
3.28
3.30
3.20
3.16
3.33
3.12
Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for two machines. Use a 0.05 level of significance. What is your conclusion?
State the null and alternative hypotheses.
2
Ho: 01
H: 01
2
> 0.
Ho: 01
2
>
2
Ha: 01
Ha: 01
2
+ 02
Ho: 01
Ha: 01
02
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value
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