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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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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.