The quality control department of a food processing firm wants to test whether the average weight per package of a certain food is at least 25 grams. Past experience indicates that the standard deviation of weight is 0.30 grams. A random sample of 144 packages is obtained. (a) Design a rule to test ?0:?=25 against ?1: ? ≠25 using a 5% level of significance. (b) Find the ? – value. (c) What is your conclusion? (d) If the true population mean is ?=24.8, find the power of the test.
The quality control department of a food processing firm wants to test whether the average weight per package of a certain food is at least 25 grams. Past experience indicates that the standard deviation of weight is 0.30 grams. A random sample of 144 packages is obtained. (a) Design a rule to test ?0:?=25 against ?1: ? ≠25 using a 5% level of significance. (b) Find the ? – value. (c) What is your conclusion? (d) If the true population mean is ?=24.8, find the power of the test.
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
QUESTION FOUR
The quality control department of a food processing firm wants to test whether the average weight per
package of a certain food is at least 25 grams. Past experience indicates that the standard deviation of
weight is 0.30 grams. A random sample of 144 packages is obtained.
(a) Design a rule to test ?0:?=25 against ?1: ? ≠25 using a 5% level of significance.
(b) Find the ? – value.
(c) What is your conclusion?
(d) If the true population mean is ?=24.8, find the power of the test.
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
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman