Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Textbook Question
Chapter 9.4, Problem 19BB
Finding Lower Critical F Values For hypothesis tests that are two-tailed, the methods of Part 1 require that we need to find only the upper critical value. Let’s denote the upper critical value by FR, where the subscript indicates the critical value for the right tail. The lower critical value FL (for the left tail) can be found as follows: (l) Interchange the degrees of freedom used for finding FR, then (2) using the degrees of freedom found in Step 1, find the F value from Table A-5; (3) take the reciprocal of the F value found in Step 2, and the result is F1. Find the critical values FL and FR for Exercise 16 “Blanking Out on Tests.”
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Solve the problem.
When performing a hypothesis test for the ratio of two population variances, the upper critical F value is
denoted FR. The lower critical F value, FL, can be found as follows: interchange the degrees of freedom, and
then take the reciprocal of the resulting F value found in table A-5. FR can be denoted Fa/2 and FL can be
denoted F1-a/2 -
Find the critical values FL and FR for a two-tailed hypothesis test based on the following values:
n₁ = 4, n₂ = 8, a = 0.05
0.1703, 5.8898
0.1112, 5.0453
0.0684. 5.8898
O 0.1211, 4.3541
Chapter 9 Solutions
Elementary Statistics (13th Edition)
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