a. Compute the expected frequencies. b. Compute the value of x c. How many degrees of freedom are there? d. Test the hypothosis that each of the categorios is equally likely. Use the a = 0.05 level of significance.
a. Compute the expected frequencies. b. Compute the value of x c. How many degrees of freedom are there? d. Test the hypothosis that each of the categorios is equally likely. Use the a = 0.05 level of significance.
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:Question 1:
Is the lottery fair? Mega Millions is a multistate lottery in which
players try to guess the numbers that will turn up in a drawing of
numbered balls. One of the balls drawn is the Mega Ball. Matching
the number drawn on the Mega Ball increases ones winnings.
During a recent three-year period, the Mega Ball was drawn from a
collection of 15 balls numbered 1 through 15, and a total of 344
drawings wore made. For the purposes of this exercise, wo grouped
the numbers into five categories: 1-3, 4-6, and so on. If the lottery is
fair, then the winning number is equally likely to occur in any
category. Following are the observed frequencies.
Category 1-3 4-6 7-9 10-12 13-15
Observed 73 64 74
62
71
Source: www.usamega com
a. Compute the expected frequencies.
b. Compute the value of x?
c. How many degrees of freedom are there?
d. Tost the hypothosis that each of the catogorios is equally likoly.
Use the a = 0.05 level of significance.
Expert Solution
Working
| O | E | (O-E)^2 | (O-E)^2/E |
| 73 | 68.8 | 17.64 | 0.256395 |
| 64 | 68.8 | 23.04 | 0.334884 |
| 74 | 68.8 | 27.04 | 0.393023 |
| 62 | 68.8 | 46.24 | 0.672093 |
| 71 | 68.8 | 4.84 | 0.070349 |
The expected values are given by
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
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.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