Homework Help is Here – Start Your Trial Now!
Math
Statistics
A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The variance of the amount in each can is 0.02. The machine is moved to a new location. To determine whether the variance has changed, 10 cans are filled. Following are the amounts in the 10 cans. 12.18 12:30 12.50 12.60 12.00 12.50 12.10 12.36 12.28 12.10 Assume them to be a random sample from a normal population. Perform a hypothesis test at alpha = 0.05 to determine whether the variance differs from %3D 0.02.

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The variance of the amount in each can is 0.02. The machine is moved to a new location. To determine whether the variance has changed, 10 cans are filled. Following are the amounts in the 10 cans. 12.18 12:30 12.50 12.60 12.00 12.50 12.10 12.36 12.28 12.10 Assume them to be a random sample from a normal population. Perform a hypothesis test at alpha = 0.05 to determine whether the variance differs from %3D 0.02.

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
Problem 1P
See similar textbooks
icon
Related questions
Question
A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The variance of the amount in each can is 0.02. The machine is moved to a new location. To determine whether the variance has changed, 10 cans are filled. Following are the amounts in the 10 cans. 12.18 12:30 12.50 12.60 12.00 12.50 12.10 12.36 12.28 12.10 Assume them to be a random sample from a normal population. Perform a hypothesis test at alpha = 0.05 to determine whether the variance differs from 0.02. o Ho: o2 = 0.02 vs H3: o² # 0.02 Since P-value = 0.0730 is greater than alpha = 0.05, do not reject the null hypothesis and conclude the variance is 0.02 O Họ: o² = 0.02 vs Hạ: o² ± 0.02 Since the calculated test-statistic = 17.888 is within the rejection region (2.700 to 19.023), do not reject the null hypothesis and conclude the variance is 0.02 %3! O Ho: o² = 0.02 vs Hạ: o² > 0.02 Since P-value = 0.0365 is less than alpha = 0.05, reject the null hypothesis and conclude the variance differs from 0.02 %3D O Ho: µ = 12 vs Hạ: µ # 12 Since P-value = 0.001 is less than alpha = 0.05, reject the null hypothesis and conclude the mean differs from 12
Transcribed Image Text:A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The variance of the amount in each can is 0.02. The machine is moved to a new location. To determine whether the variance has changed, 10 cans are filled. Following are the amounts in the 10 cans. 12.18 12:30 12.50 12.60 12.00 12.50 12.10 12.36 12.28 12.10 Assume them to be a random sample from a normal population. Perform a hypothesis test at alpha = 0.05 to determine whether the variance differs from 0.02. o Ho: o2 = 0.02 vs H3: o² # 0.02 Since P-value = 0.0730 is greater than alpha = 0.05, do not reject the null hypothesis and conclude the variance is 0.02 O Họ: o² = 0.02 vs Hạ: o² ± 0.02 Since the calculated test-statistic = 17.888 is within the rejection region (2.700 to 19.023), do not reject the null hypothesis and conclude the variance is 0.02 %3! O Ho: o² = 0.02 vs Hạ: o² > 0.02 Since P-value = 0.0365 is less than alpha = 0.05, reject the null hypothesis and conclude the variance differs from 0.02 %3D O Ho: µ = 12 vs Hạ: µ # 12 Since P-value = 0.001 is less than alpha = 0.05, reject the null hypothesis and conclude the mean differs from 12
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS