In tests of a computer component, it is found that the mean time between failures is 917 hours. A modification is made which is supposed to increase reliability by increasing the time between failures. Tests on a sample of 25 modified components produce a mean time between failures of 963 hours. Using a 1% level of significance, perform a hypothesis test to determine whether the mean time between failures for the modified components is greater than 917 hours. Assume that the population standard deviation is 57 hours. H0 : =μ917 hours H1 : >μ917 hours Test statistic : =z4.04 Critical value : =z2.33 Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than 917 hours. H0 : >μ963 hours H1 : =μ963 hours Test statistic : =z80.44 Critical value : =z1.65 Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than 963 hours. H0 : =μ963 hours H1 : >μ963 hours Test statistic : =z4.04 Critical value : =z2.33 Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than 963 hours. H0 : >μ963 hours H1 : =μ963 hours Test statistic : =z4.04 Critical value : =z1.65 Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than 963 hours.

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

Related questions

Question

In tests of a computer component, it is found that the mean time between failures is

917

hours. A modification is made which is supposed to increase reliability by increasing the time between failures. Tests on a sample of

modified components produce a mean time between failures of

963

hours. Using a

level of significance, perform a hypothesis test to determine whether the mean time between failures for the modified components is greater than

917

hours. Assume that the population standard deviation is

hours.

=μ917

hours

>μ917

hours
Test statistic :

=z4.04

Critical value :

=z2.33

Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than

917

hours.

>μ963

hours

=μ963

hours
Test statistic :

=z80.44

Critical value :

=z1.65

Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than

963

hours.

=μ963

hours

>μ963

hours
Test statistic :

=z4.04

Critical value :

=z2.33

Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than

963

hours.

>μ963

hours

=μ963

hours
Test statistic :

=z4.04

Critical value :

=z1.65

Reject the null hypothesis. There is sufficient evidence to support the claim that, for the modified components, the mean time between failures is greater than

963

hours.