a) A new machine is used to pack coffee powder. The mass of a packet follows a normal distribution with a mean, and standard deviation of 2.57 grams. A random sample of 15 packets was taken and the mass of each packet was measured to the nearest gram and recorded: i) ii) 198 204 199 205 201 200 202 202 200 203 197 197 202 199 205 Construct a 100(1-a% confidence interval for the population variance. Hence, calculate a 90% confidence interval for the population variance. Find a 99% confidence interval for the population mean.

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)
A new machine is used to pack coffee powder. The mass of a packet follows a normal
distribution with a mean, and standard deviation of 2.57 grams. A random sample of
15 packets was taken and the mass of each packet was measured to the nearest gram
and recorded:
i)
ii)
198
204
199
205
201
200
202
202
200
203
197
197
202
199
Find a 99% confidence interval for the population mean.
205
Construct a 100(1-a)% confidence interval for the population variance. Hence,
calculate a 90% confidence interval for the population variance.
Transcribed Image Text:a) A new machine is used to pack coffee powder. The mass of a packet follows a normal distribution with a mean, and standard deviation of 2.57 grams. A random sample of 15 packets was taken and the mass of each packet was measured to the nearest gram and recorded: i) ii) 198 204 199 205 201 200 202 202 200 203 197 197 202 199 Find a 99% confidence interval for the population mean. 205 Construct a 100(1-a)% confidence interval for the population variance. Hence, calculate a 90% confidence interval for the population variance.
Expert Solution
steps

Step by step

Solved in 3 steps with 8 images

Blurred answer
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