A machine is filling 30oz bottles of cough medicine. No machine is perfect, so a little bit of variability in volume is acceptable. You decide that a standard deviation of no more than 0.2oz is acceptable. The default assumption is that the machine is working fine, but from time to time, to determine whether the machine might be malfunctioning, you randomly select 45 bottles and measure the volume of cough medicine in them. On one such test, a sample standard deviation of 0.24oz was obtained. At a 5% significance level, conduct the appropriate hypothesis test to determine if the machine is malfunctioning. What would your conclusion be at 1% significance

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

A machine is filling 30oz bottles of cough medicine. No machine is perfect, so a little bit of variability in volume is acceptable. You decide that a standard deviation of no more than 0.2oz is acceptable. The default assumption is that the machine is working fine, but from time to time, to determine whether the machine might be malfunctioning, you randomly select 45 bottles and measure the volume of cough medicine in them. On one such test, a sample standard deviation of 0.24oz was obtained. At a 5% significance level, conduct the appropriate hypothesis test to determine if the machine is malfunctioning. What would your conclusion be at 1% significance?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Hello.  When doing the first calculation for the Test statistic i am getting a final answer of 44 not 63.36 using excel. Is there a reason for this?

Solution
Bartleby Expert
SEE SOLUTION
Similar 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