Sir R. A.​ Fisher, a famous​ statistician, showed that the critical values of a​ chi-square distribution can be approximated by the standard normal distribution. FORMULA ATTACHED where v is the degrees of freedom and zk is the​ z-score such that the area under the standard normal curve to the right of zk is k. Use​ Fisher's approximation to find z20.975 and z20.025 with 90 degrees of freedom. Compare the results with those found in the table of the​ chi-square distribution. In​ Fisher's approximation the value of z20.975 is _______.  Find​ Fisher's approximation for z20.025 which is ______. Now find the actual values of z20.975 and z20.025 which is _____. Use a​ chi-square distribution table to find z20.975 with 90 degrees freedom. Which is ______. Use a​ chi-square distribution table to find z20.025 with 90 degrees freedom.  Which is ______.

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

Sir R. A.​ Fisher, a famous​ statistician, showed that the critical values of a​ chi-square distribution can be approximated by the standard normal distribution.

FORMULA ATTACHED

where v is the degrees of freedom and zis the​ z-score such that the area under the standard normal curve to the right of zis k. Use​ Fisher's approximation to find z20.975 and z20.025 with 90 degrees of freedom. Compare the results with those found in the table of the​ chi-square distribution.

In​ Fisher's approximation the value of z20.975 is _______. 

Find​ Fisher's approximation for z20.025 which is ______.

Now find the actual values of z20.975 and z20.025 which is _____.

Use a​ chi-square distribution table to find z20.975 with 90 degrees freedom. Which is ______.

Use a​ chi-square distribution table to find z20.025 with 90 degrees freedom.  Which is ______.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

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.
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