A company has developed a new battery. The creator of this battery claims that it will run for at least 5 minutes longer than it predecessor. To test the claim, the engineer takes independent random samples of 23 old batteries and 27 new batteries. Th old batteries ran for 190 minutes with a standard deviation of 20 minutes, whereas the new batteries ran for 200 minutes w standard deviation of 30. Test the creator's claim using a 0.05 level of significance. Assume that the population variances dif 1. State the null and the alternative hypotheses. 2. Select the appropriate inference procedure and verify conditions for using it. Specify the rejection region. 3. Calculate the value of the test statistic. 4. State the test decision and conclusion.

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
Topic Video
Question
A company has developed a new battery. The creator of this battery claims that it will run for at least 5 minutes longer than its
predecessor. To test the claim, the engineer takes independent random samples of 23 old batteries and 27 new batteries. The
old batteries ran for 190 minutes with a standard deviation of 20 minutes, whereas the new batteries ran for 200 minutes with
standard deviation of 30. Test the creator's claim using a 0.05 level of significance. Assume that the population variances differ.
1. State the null and the alternative hypotheses.
2. Select the appropriate inference procedure and verify conditions for using it. Specify the rejection region.
3. Calculate the value of the test statistic.
4. State the test decision and conclusion.
Transcribed Image Text:A company has developed a new battery. The creator of this battery claims that it will run for at least 5 minutes longer than its predecessor. To test the claim, the engineer takes independent random samples of 23 old batteries and 27 new batteries. The old batteries ran for 190 minutes with a standard deviation of 20 minutes, whereas the new batteries ran for 200 minutes with standard deviation of 30. Test the creator's claim using a 0.05 level of significance. Assume that the population variances differ. 1. State the null and the alternative hypotheses. 2. Select the appropriate inference procedure and verify conditions for using it. Specify the rejection region. 3. Calculate the value of the test statistic. 4. State the test decision and conclusion.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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
  • SEE MORE 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