Basic Statistics: Tales of Distributions 10th Edition

Published by Cengage Learning
ISBN 10: 0-49580-891-1
ISBN 13: 978-0-49580-891-6

Chapter 11 - Analysis of Variance: One-Way Classification - Problems: 11.10

Answer

The calculated test statistic F = 2.56 would be rejected at a = .05, with a critical value of 2.35. The calculated test statistic F = 2.56 would be retained at a = .01, with a critical value of 3.29.

Work Step by Step

We use the table of the F distribution for 5 and 75 degrees of freedom and a= .05 and a= .01 to find the critical values for an experiment yielding an F-statistic of 2.56. Using the table, find the numerator (column) for df=5 and the denominator (row) df = 70 (because there is no row for 75). They intersect at the F-value of 2.35, for a= .05, and 3.29 for a = .01.
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