What is the critical F value, of an alpha level 0.05? 500 1/courses/PSYC.011 001

Question

What is the critical F value, of an alpha level 0.05? 500 1/courses/PSYC.011 001 18S/ProblemSet7.pdf omework7 1. Three friends are taking Dr. Variance's statistics class. In this class, there are 3 quizzes, each worth 20 points. The three friends want to know if all of the quizzes were equally difficult (their average was the same on all three), or if some quizzes were more difficult than others (their averages were higher or lower on some quizzes). Below are the three friends' scores. Quiz 1 Quiz 2 Quiz 3 15 15 16 15 17 17 18 16 17

Explanation / Answer

First, we need to find degree of freedom for numerator and denominator using the given number of groups and number of sample

degree of freedom for numerator or between groups = k-1

where k is the number of group, here we have 3 groups, so k =3

this gives, the degree of freedom for numerator = 3 - 1 = 2

Degree of freedom of denominator or within group = n - k

where n is the total number of observation and k is the number of group

we have n = 9 and k = 3

so, degree of freedom for denominator or within groups = 9 - 3 = 6

Using F distribution table, looking for df for numerator columnwise and degree of denominator row-wise

so, Required F value is 5.14 with 0.05 for 2nd column and 6th row in the F distribution table.

so, the required critical F value at 0.05 level is 5.14

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