Homework Help is Here – Start Your Trial Now!
Math
Statistics
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 45 hours. How large a sample is needed if we wish to be 98% confident that our sample mean will be within 14 hours of the true mean?

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 45 hours. How large a sample is needed if we wish to be 98% confident that our sample mean will be within 14 hours of the true mean?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
100%
7. Please answer the following probability question.
**Sample Size Calculation for Light Bulb Manufacturing** An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 45 hours. How large a sample is needed if we wish to be 98% confident that our sample mean will be within 14 hours of the true mean? In this educational scenario, we are tasked with determining the appropriate sample size to achieve a specified level of confidence in estimating the average lifespan of light bulbs. The standard deviation provided highlights the variability in bulb lifespans, and the confidence level of 98% ensures statistical reliability. The objective is to calculate the sample size necessary to achieve a margin of error of 14 hours.
Transcribed Image Text:**Sample Size Calculation for Light Bulb Manufacturing** An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 45 hours. How large a sample is needed if we wish to be 98% confident that our sample mean will be within 14 hours of the true mean? In this educational scenario, we are tasked with determining the appropriate sample size to achieve a specified level of confidence in estimating the average lifespan of light bulbs. The standard deviation provided highlights the variability in bulb lifespans, and the confidence level of 98% ensures statistical reliability. The objective is to calculate the sample size necessary to achieve a margin of error of 14 hours.
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
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
SEE MORE TEXTBOOKS