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 3.28 3.20 3.22 2.98 3.45 3.70 3.34 3.18 3.35 3.12 State the null and alternative hypotheses. Ho: 0₁² #0₂² O 1 H₂: 0₁²²=0₂² 2 2 2 Ho: 0₂² ≤ 0₂² Ha: 01² > 0₂² 2 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 2 Ho: 0₁² > 0₂² Ha: 0₁ 0₂ 2 2 Ho: 0₁² = 0₂² 2 Machine 2 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.27 2 Ha: 0₁²0₂² 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
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 3.28 3.20 3.22 2.98 3.45 3.70 3.34 3.18 3.35 3.12 State the null and alternative hypotheses. Ho: 0₁² #0₂² O 1 H₂: 0₁²²=0₂² 2 2 2 Ho: 0₂² ≤ 0₂² Ha: 01² > 0₂² 2 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 2 Ho: 0₁² > 0₂² Ha: 0₁ 0₂ 2 2 Ho: 0₁² = 0₂² 2 Machine 2 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.27 2 Ha: 0₁²0₂² 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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill