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11. A testing organization gathered some data on the lifetime of a crucial component of each of two brands obtained from random samples of the component placed on an accelerated life test. There have been reports of failures of a particular brand (labeled as Brand A) of flat panel LCD television sets. The following table provides the data on estimated lifetimes (in months). Brand A B Lifetime of Lifetime of component component 32 41 25.5 39 Lifetime of component 40.5 36 Lifetime of component 31 47 Lifetime of component 45 35 Lifetime of component 29 34 Lifetime of component 37 48 Use the Wilconxon signed-rank test to determine if the component lifetime of Brand A is shorter than the lifetime for Brand B. Perform on the 5% level (a = 0.05). What is your conclusion? (15p) Lifetime of component 39.5 44

11. A testing organization gathered some data on the lifetime of a crucial component of each of two brands obtained from random samples of the component placed on an accelerated life test. There have been reports of failures of a particular brand (labeled as Brand A) of flat panel LCD television sets. The following table provides the data on estimated lifetimes (in months). Brand A B Lifetime of Lifetime of component component 32 41 25.5 39 Lifetime of component 40.5 36 Lifetime of component 31 47 Lifetime of component 45 35 Lifetime of component 29 34 Lifetime of component 37 48 Use the Wilconxon signed-rank test to determine if the component lifetime of Brand A is shorter than the lifetime for Brand B. Perform on the 5% level (a = 0.05). What is your conclusion? (15p) Lifetime of component 39.5 44

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
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11. A testing organization gathered some data on the lifetime of a crucial component of each of two brands obtained from random samples of the component placed on an accelerated life test. There have been reports of failures of a particular brand (labeled as Brand A) of flat panel LCD television sets. The following table provides the data on estimated lifetimes (in months). Brand A B Lifetime of Lifetime of component component 32 41 25.5 39 Lifetime of component 40.5 36 Lifetime of component 31 47 Lifetime of component 45 35 Lifetime of component 29 34 Lifetime of component A complete answer should be given that is easy to follow step by step. 37 48 Use the Wilconxon signed-rank test to determine if the component lifetime of Brand A is shorter than the lifetime for Brand B. Perform on the 5% level (a = 0.05). What is (15p) your conclusion? Lifetime of component 39.5 44
Transcribed Image Text:11. A testing organization gathered some data on the lifetime of a crucial component of each of two brands obtained from random samples of the component placed on an accelerated life test. There have been reports of failures of a particular brand (labeled as Brand A) of flat panel LCD television sets. The following table provides the data on estimated lifetimes (in months). Brand A B Lifetime of Lifetime of component component 32 41 25.5 39 Lifetime of component 40.5 36 Lifetime of component 31 47 Lifetime of component 45 35 Lifetime of component 29 34 Lifetime of component A complete answer should be given that is easy to follow step by step. 37 48 Use the Wilconxon signed-rank test to determine if the component lifetime of Brand A is shorter than the lifetime for Brand B. Perform on the 5% level (a = 0.05). What is (15p) your conclusion? Lifetime of component 39.5 44
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Test statistic = min {R1, R2} = 6.5

Critical value = 6 (from table)

Since the test statistic is less than the critical value, we reject the null hypothesis.

 

What do you mean that we are rejecting the null hypothesis? 6,5>6? Thank you in advance!

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