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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. 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 3.38 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. Hoi o,? > a,? Hoio,? = 02

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 3.38 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. Hoi o,? > a,? Hoio,? = 02

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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.
Transcribed Image Text: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.
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 3.38 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 < 02 Ha: 01 2 02 2 2 > 02 2 2 2 2 Ho: 01 02 Ha: 01 = 02 2 Ho: 01 02 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 State your conclusion. Do not reject Ho. We can conclude that the process variances are significantly different. 0' Reject Ho. We can conclude that the process variances are significantly different. 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. 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 3.38 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 < 02 Ha: 01 2 02 2 2 > 02 2 2 2 2 Ho: 01 02 Ha: 01 = 02 2 Ho: 01 02 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 State your conclusion. Do not reject Ho. We can conclude that the process variances are significantly different. 0' Reject Ho. We can conclude that the process variances are significantly different. 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. O O
Expert Solution
Step 1: Given:

Level of significance = α = 0.05

Given data is,

Machine 1 Machine 2
2.95 3.22
3.45 3.3
3.5 3.34
3.75 3.28
3.48 3.29
3.26 3.25
3.33 3.3
3.2 3.26
3.16 3.38
3.2 3.3
3.22 3.35
3.38 3.19
3.9 3.35
3.36 3.05
3.25 3.36
3.28 3.28
3.2 3.3
3.2 3.28
2.98 3.3
3.45 3.2
3.7 3.16
3.34 3.33
3.18  
3.35  
3.12  

We have to conduct a statistical test to determine whether there is significant difference between the variances in the bag weights of two machines.

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