The quality-control manager at a compact fluorescent light bulb (CFL) factory needs determine whether the mean life of a large shipment of CFLs is equal to 7,477 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,297 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,477 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach? (Round to two decimal places as needed. Use a comma separate answers as needed.) What is the final conclusion? O A. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours. OB. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours. OC. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours. O D. Fail to reject Ho. There is sufficient evidence prove that the mean life is different from 7,477 hours. b. What is the p-value? (Round to three decimal places as needed.) Interpret the meaning of the p-value. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours. OB. Fail to reject Ho. There is sufficient evidence prove that the mean life is different from 7,477 hours. OC. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours. OD. Fail to reject Ho. There is not sufficient evidence. prove that the mean life is different from 7,477 hours. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. sus (Round to one decimal place as needed.) d. Compare the results of (a) and (c). What conclusions do you reach? O A. The results of (a) and (c) are not the same: there is not sufficient evidence prove that the mean life is different from 7,477 hours. OB. The results of (a) and (c) are the same: there is not sufficient evidence to prove that the mean life is different from 7,477 hours. OC. The results of (a) and (c) are not the same: there is sufficient evidence to prove that the mean life is different from 7,477 hours. OD. The results of (a) and (c) are the same: there sufficient evidence to prove that the mean life is different from 7,477 hours.
The quality-control manager at a compact fluorescent light bulb (CFL) factory needs determine whether the mean life of a large shipment of CFLs is equal to 7,477 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,297 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,477 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach? (Round to two decimal places as needed. Use a comma separate answers as needed.) What is the final conclusion? O A. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours. OB. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours. OC. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours. O D. Fail to reject Ho. There is sufficient evidence prove that the mean life is different from 7,477 hours. b. What is the p-value? (Round to three decimal places as needed.) Interpret the meaning of the p-value. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours. OB. Fail to reject Ho. There is sufficient evidence prove that the mean life is different from 7,477 hours. OC. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours. OD. Fail to reject Ho. There is not sufficient evidence. prove that the mean life is different from 7,477 hours. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. sus (Round to one decimal place as needed.) d. Compare the results of (a) and (c). What conclusions do you reach? O A. The results of (a) and (c) are not the same: there is not sufficient evidence prove that the mean life is different from 7,477 hours. OB. The results of (a) and (c) are the same: there is not sufficient evidence to prove that the mean life is different from 7,477 hours. OC. The results of (a) and (c) are not the same: there is sufficient evidence to prove that the mean life is different from 7,477 hours. OD. The results of (a) and (c) are the same: there sufficient evidence to prove that the mean life is different from 7,477 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
Related questions
Question
i need C and D
Transcribed Image Text:The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,477 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of
7,297 hours.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,477 hours?
b. Compute the p-value and interpret its meaning.
c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs.
d. Compare the results of (a) and (c). What conclusions do you reach?
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
What is the final conclusion?
O A. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours.
B. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours.
C. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours.
D. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours.
b. What is the p-value?
(Round to three decimal places as needed.)
Interpret the meaning of the p-value. Choose the correct answer below.
A. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours.
B. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,477 hours.
C. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours.
D. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,477 hours.
c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs.
sμ≤ (Round to one decimal place as needed.)
d. Compare the results of (a) and (c). What conclusions do you reach?
A. The results of (a) and (c) are not the same: there is not sufficient evidence to prove that the mean life is different from 7,477 hours.
B. The results of (a) and (c) are the same: there is not sufficient evidence to prove that the mean life is different from 7,477 hours.
C. The results of (a) and (c) are not the same: there is sufficient evidence to prove that the mean life is different from 7,477 hours.
D. The results of (a) and (c) are the same: there is sufficient evidence to prove that the mean life is different from 7,477 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 3 steps
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