Homework Help is Here – Start Your Trial Now!
Math
Statistics
Problem 1 A sample of 10 different parts are tested using a low temperature level and another sample of 10 parts is also tested using a high temperature level. The random variable of interest is the shrinkage that occured in the units, measured in percentage. Assume that the data sets follow the normal distribution. The results are as follows: | Low Temperature High Temperature 21.2 20.9 19.8 20.3 20.5 21.3 20.8 19.7 21.5 20.3 17.9 17.6 18.3 15.9 16.5 17.8 16.1 18.7 16.4 17.2 s= 0.9709

Problem 1 A sample of 10 different parts are tested using a low temperature level and another sample of 10 parts is also tested using a high temperature level. The random variable of interest is the shrinkage that occured in the units, measured in percentage. Assume that the data sets follow the normal distribution. The results are as follows: | Low Temperature High Temperature 21.2 20.9 19.8 20.3 20.5 21.3 20.8 19.7 21.5 20.3 17.9 17.6 18.3 15.9 16.5 17.8 16.1 18.7 16.4 17.2 s= 0.9709

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
Problem 1 A sample of 10 different parts are tested using a low temperature level and another sample of 10 parts is also tested using a high temperature level. The random variable of interest is the shrinkage that occurred in the units, measured in percentage. Assume that the data sets follow the nomal distribution. The results are as follows: Low Temperature High Temperature 21.2 20.9 17.9 17.6 18.3 15.9 16.5 17.8 19.8 20.3 20.5 21.3 16.1 18.7 16.4 17.2 s = 0.9709 20.8 19.7 21.5 20.3 a) Compare the variances of the temperatures using a hypothesis test with a significance level of 0.02. Set up the appropriate hypotheses test to check if there is a difference between the variances b) Compute a 98% two-sided confidence interval on the appropriate parameter to check if there is a difference between the variances c) Does temperature have an effect on shrinkage? Perform a hypothesis test to prove if there is any difference in the mean shrinkage, considering the conclusion from part a). Use a significance level of 0.02 d) Compute a 98% two-sided confidence interval on the appropriate parameter to prove if there is any difference in the mean shrinkage.
Transcribed Image Text:Problem 1 A sample of 10 different parts are tested using a low temperature level and another sample of 10 parts is also tested using a high temperature level. The random variable of interest is the shrinkage that occurred in the units, measured in percentage. Assume that the data sets follow the nomal distribution. The results are as follows: Low Temperature High Temperature 21.2 20.9 17.9 17.6 18.3 15.9 16.5 17.8 19.8 20.3 20.5 21.3 16.1 18.7 16.4 17.2 s = 0.9709 20.8 19.7 21.5 20.3 a) Compare the variances of the temperatures using a hypothesis test with a significance level of 0.02. Set up the appropriate hypotheses test to check if there is a difference between the variances b) Compute a 98% two-sided confidence interval on the appropriate parameter to check if there is a difference between the variances c) Does temperature have an effect on shrinkage? Perform a hypothesis test to prove if there is any difference in the mean shrinkage, considering the conclusion from part a). Use a significance level of 0.02 d) Compute a 98% two-sided confidence interval on the appropriate parameter to prove if there is any difference in the mean shrinkage.
Expert Solution
steps

Step by step

Solved in 6 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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