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.
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
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
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.
|
|
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill