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
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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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Follow-up Question
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!
Solution
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