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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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
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
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman