10) Boxes of cereal are labeled as containing 14 ounces. Following are the weights of a sample for 12 boxes. Assume that the population is normally distributed. 14.02 14.15 13.97 14.11 14.12 14.10 14.02 13.97 14.05 14.04 14.11 14.12 a) Find the sample variance. Sk 0.0038 b) Construct a 98% confidence interval for the population standard deviation. Use formula & table (make sure to note which table was used and what the inputs were). Round to 2 decimal places. c) The goal of the quality control manager is for the population standard deviation of the weights to be less than 0.1. Based on the confidence interval, is it reasonable to believe that the goal has been met? (remember: to support "less than 0.1" all values in the interval need to be less than 0.1)
10) Boxes of cereal are labeled as containing 14 ounces. Following are the weights of a sample for 12 boxes. Assume that the population is normally distributed. 14.02 14.15 13.97 14.11 14.12 14.10 14.02 13.97 14.05 14.04 14.11 14.12 a) Find the sample variance. Sk 0.0038 b) Construct a 98% confidence interval for the population standard deviation. Use formula & table (make sure to note which table was used and what the inputs were). Round to 2 decimal places. c) The goal of the quality control manager is for the population standard deviation of the weights to be less than 0.1. Based on the confidence interval, is it reasonable to believe that the goal has been met? (remember: to support "less than 0.1" all values in the interval need to be less than 0.1)
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

Transcribed Image Text:10) Boxes of cereal are labeled as containing 14 ounces. Following are the weights of a sample for
12 boxes. Assume that the population is normally distributed.
14.02
14.15
13.97
14.11
14.12
14.10
14.02
13.97
14.05
14.04
14.11
14.12
a) Find the sample variance.
Sk
0.0038
b) Construct a 98% confidence interval for the population standard deviation. Use
formula & table (make sure to note which table was used and what the inputs were).
Round to 2 decimal places.
c) The goal of the quality control manager is for the population standard deviation of the
weights to be less than 0.1. Based on the confidence interval, is it reasonable to believe
that the goal has been met? (remember: to support "less than 0.1" all values in the
interval need to be less than 0.1)
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 6 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