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 3.27 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. O Ho: o,2 = 0,2 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. O Reject Hg. We cannot conclude that the process variances are significantly different. O Do not reject Ho. We can conclude that the process variances are significantly different. O Reject Hg. We can conclude that the process variances are significantly different. O Do not reject Hg. We cannot conclude that the process variances are significantly different. Which machine, if either, provides the greater opportunity for quality improvements? O Machine 1 offers the best opportunity for process quality improvements. O Machine 2 offers the best opportunity for process quality improvements. O 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 3.27 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. O Ho: o,2 = 0,2 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. O Reject Hg. We cannot conclude that the process variances are significantly different. O Do not reject Ho. We can conclude that the process variances are significantly different. O Reject Hg. We can conclude that the process variances are significantly different. O Do not reject Hg. We cannot conclude that the process variances are significantly different. Which machine, if either, provides the greater opportunity for quality improvements? O Machine 1 offers the best opportunity for process quality improvements. O Machine 2 offers the best opportunity for process quality improvements. O Neither machine offers an opportunity for process quality improvements.
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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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
3.27
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.
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.
O Reject Ho. We cannot conclude that the process variances are significantly different.
O Do not reject Ho. We can conclude that the process variances are significantly different.
Reject Ho. We can conclude that the process variances are significantly different.
O Do not reject H.. We cannot 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.
O Machine 2 offers the best opportunity for process quality improvements.
O Neither machine offers an opportunity for process quality improvements.
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