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 7,507 hours. The population standard deviation is 700 hours. A random sample of 19 light bulbs indicates a sample mean life of 7,357 hours. . At the 0.05 level of significance, is there evidence that the mean life is different from 7,507 hours? o. Compute the p-value and interpret its meaning. . Construct a 95% confidence interval estimate of the population mean life of the light bulbs. 1. Compare the results of (a) and (c). What conclusions do you reach? . Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,. Ho:4= 7507 iH# 7,507 What is the test statistic? ESTAT = - 1.5 (Round to two decimal places as needed.) What is/are the critical value(s)? - 1.96,1.96 Round to two decimal places as needed. Use comma to separate answers as needed.) What is the final conclusion? *A. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,507 hours. B. Reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,507 hours. OC. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,507 hours. OD. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,507 hours. o. What is the p-value? (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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 7,507 hours. The population standard deviation is 700 hours. A random sample of
49 light bulbs indicates a sample mean life of 7,357 hours.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,507 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?
.....
a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,.
Ho: µ = 7507
H1:µ# 7,507
What is the test statistic?
ZSTAT
= - 1.5 (Round to two decimal places as needed.)
What is/are the critical value(s)?
- 1.96,1.96
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
What is the final conclusion?
A. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,507 hours.
B. Reject Ho: There is not sufficient evidence to prove that the mean life is different from 7,507 hours.
C. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,507 hours.
D. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,507 hours.
b. What is the p-value?
(Round to three decimal places as needed.)
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 7,507 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,357 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,507 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? ..... a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,. Ho: µ = 7507 H1:µ# 7,507 What is the test statistic? ZSTAT = - 1.5 (Round to two decimal places as needed.) What is/are the critical value(s)? - 1.96,1.96 (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is the final conclusion? A. Fail to reject Ho. There is not sufficient evidence to prove that the mean life is different from 7,507 hours. B. Reject Ho: There is not sufficient evidence to prove that the mean life is different from 7,507 hours. C. Fail to reject Ho. There is sufficient evidence to prove that the mean life is different from 7,507 hours. D. Reject Ho. There is sufficient evidence to prove that the mean life is different from 7,507 hours. b. What is the p-value? (Round to three decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman