Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 25, 31, 47, 42, 26, 29. Use a 0.10 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die?

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

11.6

Conduct the hypothesis test and provide the test statistic and the critical value, and
state the conclusion.
A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it
200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6,
respectively: 25, 31, 47, 42, 26, 29. Use a 0.10 significance level to test the claim that
the outcomes are not equally likely. Does it appear that the loaded die behaves
differently than a fair die?
Click here to view the chi-square distribution table.
Transcribed Image Text:Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 25, 31, 47, 42, 26, 29. Use a 0.10 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die? Click here to view the chi-square distribution table.
The test statistic is
The critical value is
The P-value is
State the conclusion.
(Round to three decimal places as needed.)
(Round to three decimal places as needed.)
(Round to four decimal places as needed.)
so the loaded die
Ho. There
sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes
to behave differently from a fair die.
to be equally likely,
Transcribed Image Text:The test statistic is The critical value is The P-value is State the conclusion. (Round to three decimal places as needed.) (Round to three decimal places as needed.) (Round to four decimal places as needed.) so the loaded die Ho. There sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes to behave differently from a fair die. to be equally likely,
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 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