The University of Washington uses thousands of BrightLight fluorescent light bulbs eachyear. A new manufacturer, AmpleLamp, claims that its new brand of bulbs, which costthe same as the brand the university currently uses, has a mean life of 6000 hours. Theuniversity has never studied how long BrightLight bulbs last and they decided they arecurious to see how long BrightLight bulbs last compared to AmpleLamp bulbs. Theyuniversity decides to conduct a significance test at the .05 significance level. A randomsample of 64 BrightLight bulbs are tested and the mean life time is found to be 5910hours. Both manufacturers report that the standard deviation for the lifespan of a lightis 400 hours. Are the lifespan of the two brands of lights significantly different from eachother? Useα=0.1 (a) Which of the following is theH0? (null)A.H0:μ=6000B.H0:x=6000C.H0:μ=5910D.H0:x=5910E.H0:μ6=6000F.H0:x6=6000G.H0:μ6=5910H.H0:x6=5910I. (b) Which of the following is the correct formula to compute Test Statistic (TS)? A.6000−5910400/√64 B.5910−6000400/√64 C.6000−591020/√64 D.5910−600020/√64 E. None of these (c) What is the value of Test Statistic (TS)? (d) What is the critical value fromCritical Table?
The University of Washington uses thousands of BrightLight fluorescent light bulbs eachyear. A new manufacturer, AmpleLamp, claims that its new brand of bulbs, which costthe same as the brand the university currently uses, has a mean life of 6000 hours. Theuniversity has never studied how long BrightLight bulbs last and they decided they arecurious to see how long BrightLight bulbs last compared to AmpleLamp bulbs. Theyuniversity decides to conduct a significance test at the .05 significance level. A randomsample of 64 BrightLight bulbs are tested and the mean life time is found to be 5910hours. Both manufacturers report that the standard deviation for the lifespan of a lightis 400 hours. Are the lifespan of the two brands of lights significantly different from eachother? Useα=0.1 (a) Which of the following is theH0? (null)A.H0:μ=6000B.H0:x=6000C.H0:μ=5910D.H0:x=5910E.H0:μ6=6000F.H0:x6=6000G.H0:μ6=5910H.H0:x6=5910I. (b) Which of the following is the correct formula to compute Test Statistic (TS)? A.6000−5910400/√64 B.5910−6000400/√64 C.6000−591020/√64 D.5910−600020/√64 E. None of these (c) What is the value of Test Statistic (TS)? (d) What is the critical value fromCritical Table?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
The University of Washington uses thousands of BrightLight fluorescent light bulbs eachyear. A new manufacturer, AmpleLamp, claims that its new brand of bulbs, which costthe same as the brand the university currently uses, has a mean life of 6000 hours. Theuniversity has never studied how long BrightLight bulbs last and they decided they arecurious to see how long BrightLight bulbs last compared to AmpleLamp bulbs. Theyuniversity decides to conduct a significance test at the .05 significance level. A randomsample of 64 BrightLight bulbs are tested and the mean life time is found to be 5910hours. Both manufacturers report that the standard deviation for the lifespan of a lightis 400 hours. Are the lifespan of the two brands of lights significantly different from eachother? Useα=0.1
(a) Which of the following is theH0? (null)A.H0:μ=6000B.H0:x=6000C.H0:μ=5910D.H0:x=5910E.H0:μ6=6000F.H0:x6=6000G.H0:μ6=5910H.H0:x6=5910I.
(b) Which of the following is the correct formula to compute Test Statistic (TS)? A.6000−5910400/√64 B.5910−6000400/√64 C.6000−591020/√64
D.5910−600020/√64 E. None of these
(c) What is the value of Test Statistic (TS)?
(d) What is the critical value fromCritical Table?
(e) What is the p-value ?
(f) ConclusionA. RejectH0B. Fail to rejectH0
(g) Interpretation
A. There is enough evidence (from data) in support of AmpleLamp claimthat both have the same mean life.
B. There is not enough evidence (from data) in support AmpleLamp claimthat both have the same mean life.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman