Answered: puter component, it is found that the…

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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Question

In tests of a computer component, it is found that the mean time between failures is 674 hours. A modification is made which is supposed to increase reliability by increasing the time between failures. Tests on a sample of 38 modified components produce a mean time between failures of 703 hours, with a standard deviation of 68 hours. Test the claim that on average, the modified components last longer than 674 hours between failures, use a level of significance of 1%.

What type of test will be used in this problem?

What evidence justifies the use of this test? Check all that apply:
- np>5

and nq>5

- The sample standard deviation is not known
- The population standard deviation is known
- There are two different samples being compared
- The population standard deviation is not known
- The sample size is larger than 30
- The original population is approximately normal
Enter the null hypothesis for this test.
H0
Enter the alternative hypothesis for this test.
H1:
Is the original claim located in the null or alternative hypothesis?
What is the test statistic for the given statistics?
What is the p-value for this test?
What is the decision based on the given statistics?
What is the correct interpretation of this decision?

Using a % level of significance, there

sufficient evidence to the claim that on average, the modified components last longer than 674 hours between failures.

In tests of a computer component, it is found that the mean time between failures is 674 hours. A modification is
made which is supposed to increase reliability by increasing the time between failures. Tests on a sample of 38
modified components produce a mean time between failures of 703 hours, with a standard deviation of 68 hours.
Test the claim that on average, the modified components last longer than 674 hours between failures, use a level
of significance of 1%.
a. What type of test will be used in this problem?
Select an answer
b. What evidence justifies the use of this test? Check all that apply:
Onp > 5 and nq > 5
OThe sample standard deviation is not known
OThe population standard deviation is known
OThere are two different samples being compared
OThe population standard deviation is not known
OThe sample size is larger than 30
OThe original population is approximately normal
c. Enter the null hypothesis for this test.
Ho Select an answer v
?
d. Enter the alternative hypothesis for this test.
H: Select an answer
?
e. Is the original claim located in the null or alternative hypothesis?
Select an answer
f. What is the test statistic for the given statistics?
g. What is the p-value for this test?
h. What is the decision based on the given statistics?
Select an answer
i. What is the correct interpretation of this decision?
% level of significance, there Select an answer v sufficient evidence to
the claim that on average, the modified components last longer than 674 hours
Using a
Select an answer
between failures.

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