An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a mean of 800 hours and a standard deviation of 44 hours. Test the hypothesis that u = 800 hours against the alternative, u* 800 hours, if a random sample of 32 bulbs has an average life of 779 hours. Use a P-value in your answer. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Find the test statistic. O(Round to two decimal places as needed.) Find the P-value. O (Round to three decimal places as needed.) What is the appropriate conclusion for this test? Do not reject Ho and conclude that there is not sufficient evidence to conclude that the mean lifetime of the lightbulbs is not equal to 800 hours. In general, H, would be rejected for significance levels less than the P-value.

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
An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a mean of 800 hours and a standard deviation of 44 hours. Test the hypothesis that u = 800 hours against the alternative, u + 800 hours, if a random sample of 32 bulbs has an
average life of 779 hours. Use a P-value in your answer.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
.....
Find the test statistic.
(Round to two decimal places as needed.)
Find the P-value.
(Round to three decimal places as needed.)
What is the appropriate conclusion for this test?
Do not reject H, and conclude that there is not sufficient evidence to conclude that the mean lifetime of the lightbulbs is not equal to 800 hours. In general, H, would be rejected for significance levels
less
than the P-value.
Transcribed Image Text:An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a mean of 800 hours and a standard deviation of 44 hours. Test the hypothesis that u = 800 hours against the alternative, u + 800 hours, if a random sample of 32 bulbs has an average life of 779 hours. Use a P-value in your answer. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. ..... Find the test statistic. (Round to two decimal places as needed.) Find the P-value. (Round to three decimal places as needed.) What is the appropriate conclusion for this test? Do not reject H, and conclude that there is not sufficient evidence to conclude that the mean lifetime of the lightbulbs is not equal to 800 hours. In general, H, would be rejected for significance levels less than the P-value.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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.
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