BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3200 hours. Suppose we have good reason to believe that u is different from 3200 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 3400 hours and that the sample standard deviation of the lifetimes is 600 hours. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used for the test? H. : 3200 OSO H, : 3200 (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? Type II (c) Suppose the true mean lifetime of BIG's light bulbs is 3420 hours. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) v the hypothesis that u is (Choose one) (Choose one) ▼ when, in fact, u is (Choose one)
BIG Corporation advertises that its light bulbs have a mean lifetime, u, of 3200 hours. Suppose we have good reason to believe that u is different from 3200 hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 3400 hours and that the sample standard deviation of the lifetimes is 600 hours. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used for the test? H. : 3200 OSO H, : 3200 (b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making? Type II (c) Suppose the true mean lifetime of BIG's light bulbs is 3420 hours. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) v the hypothesis that u is (Choose one) (Choose one) ▼ when, in fact, u is (Choose one)
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

Transcribed Image Text:BIG Corporation advertises that its light bulbs have a mean lifetime, pu, of 3200 hours. Suppose we have good reason to believe that u is different from 3200
hours and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this
sample is 3400 hours and that the sample standard deviation of the lifetimes is 600 hours.
Based on this information, complete the parts below.
(a)
What are the null hypothesis H, and the alternative hypothesis H, that should be used for the test?
Ho
: 3200
H : 3200
D=0
(b) Suppose that we decide to reject the null hypothesis. What sort of error might we be making?
|Турe II
(c)
Suppose the true mean lifetime of BIG's light bulbs is 3420 hours. Fill in the blanks to describe a Type II error.
A Type II error would be (Choose one)
the hypothesis that u is (Choose one)
(Choose one) when, in fact, u is (Choose one)
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

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