The lifetime of a certain brand of light bulbs is known to be normally distributed. A sample of 10 bulbs gives a mean lifetime of 124.0 hours with a standard deviation of 6.0 hours.  Calculate a 99% confidence interval for the mean lifetime of light bulbs of this brand. We are standardising x¯ with sn√ so we will need to use the t distribution to calculate t* (rather than using the Standard Normal distribution to calculate z*). You can calculate t* using the Theoretical Distributions - t - function in StatKey. You will need to know the 'degrees of freedom'. Degrees of freedom = n - 1. Select one: (117.99, 130.01) (117.83, 130.17) (118.65, 129.35)

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 lifetime of a certain brand of light bulbs is known to be normally distributed. A sample of 10 bulbs gives a mean lifetime of 124.0 hours with a standard deviation of 6.0 hours.  Calculate a 99% confidence interval for the mean lifetime of light bulbs of this brand.

We are standardising x¯ with sn√ so we will need to use the t distribution to calculate t* (rather than using the Standard Normal distribution to calculate z*). You can calculate t* using the Theoretical Distributions - t - function in StatKey. You will need to know the 'degrees of freedom'. Degrees of freedom = n - 1.

Select one:
(117.99, 130.01)
(117.83, 130.17)
(118.65, 129.35)
(119.71, 128.29)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 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