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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

100%

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

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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Step 1 : Hypotheses.

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Step 2 : Test statistics.

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Step 3 : Sample variance for machine 1 and machine 2.

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Step 4 : Calculations for test statistic.

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Step 5 : P-value.

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Step 6 : Decision and conclusion.

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