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. Jelly Belly Candy Company is testing two machines that use different technologies to fill three pound bags of jelly beans. The following tables contain a sample of data on the weights of bags (in pounds) filled by each machine. Machine 1 2.95 3.45 3.50 3.75 3.48 3.26 3.33 3.20 3.16 3.20 3.22 3.38 3.90 3.36 3.25 3.20 3.22 2.98 3.45 3.70 3.34 3.12 O State the null and alternative hypotheses. 2 2 Ho: 0₁ 0₂ Ha: 0₁ 2=0₂² 2 2 Ho: 0₂²50₂² 2 Ha: 0₁² > 0₂² 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? 2 Ho: 01 H₂: 0₂²50₂² 2 2 Ho: 01² ₁₁₂²=0₂² 2 Ha: 01²0₂² 3.28 2 3.18 3.35 Machine 2 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.27 3.35 3.19 3.35 3.05 3.36 3.28 3.38 3.34 3.30 3.28 3.30 3.20 3.16 3.33
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. Jelly Belly Candy Company is testing two machines that use different technologies to fill three pound bags of jelly beans. The following tables contain a sample of data on the weights of bags (in pounds) filled by each machine. Machine 1 2.95 3.45 3.50 3.75 3.48 3.26 3.33 3.20 3.16 3.20 3.22 3.38 3.90 3.36 3.25 3.20 3.22 2.98 3.45 3.70 3.34 3.12 O State the null and alternative hypotheses. 2 2 Ho: 0₁ 0₂ Ha: 0₁ 2=0₂² 2 2 Ho: 0₂²50₂² 2 Ha: 0₁² > 0₂² 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? 2 Ho: 01 H₂: 0₂²50₂² 2 2 Ho: 01² ₁₁₂²=0₂² 2 Ha: 01²0₂² 3.28 2 3.18 3.35 Machine 2 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.27 3.35 3.19 3.35 3.05 3.36 3.28 3.38 3.34 3.30 3.28 3.30 3.20 3.16 3.33
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Only the questions asking about the test-statistic and after. (Questions in the secound image)
Transcribed Image Text: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 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.
Reject Ho. 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.
Machine 2 offers the best opportunity for process quality improvements.
Neither machine offers an opportunity for process quality improvements.
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. Jelly Belly Candy Company is testing two machines that use different technologies to fill three pound bags of jelly beans. The following tables contain a sample of
data on the weights of bags (in pounds) filled by each machine.
Machine 1
2.95 3.45 3.50 3.75 3.48 3.26 3.33 3.20
2
Ha: 01
3.16 3.20 3.22 3.38 3.90 3.36 3.25 3.28
State the null and alternative hypotheses.
2
Ho: 01 #
3.20 3.22 2.98 3.45 3.70 3.34 3.18 3.35
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?
2
Ho: 01
=
2
2
Ho: o.
01 < 02
H₂: 0₁² > 0₂²
2
2
02
2
02
2
2
Ho: 0₁² > 0₂²
01
02
2
H₂: 0₁² ≤0₂²
01
2
02²
2
H₂: 0₁²0₂²
Machine 2
2
3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.27
3.38 3.34
3.35 3.19 3.35 3.05 3.36 3.28
3.30 3.28 3.30 3.20 3.16 3.33
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