For an F distribution, the number of degrees of freedom for the numerator a. must be larger than the number of degrees of freedo

Question

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For an F distribution, the number of degrees of freedom for the numerator a. must be larger than the number of degrees of freedo

m for the denominator. b. can be larger, smaller, or equal to the number of degrees of freedom for the denominator. c. must be smaller than the number of degrees of freedom for the denominator. d. must be equal to the number of degrees of freedom for the denominator.

Mathematics

1 answer:

Alecsey [184] · Answer 1 · 2022-04-10T18:30:01+03:00

Answer:

b. can be larger, smaller, or equal to the number of degrees of freedom for the denominator.

Step-by-step explanation:

The distribution of all possible values of the f statistic is called an F distribution with various degree of freedom. For an F distribution, the F statistic is greater than or equal to zero and as the degrees of freedom for the numerator and for the denominator get larger, the curve approximates the normal.

For an F distribution, the number of degrees of freedom for the numerator can be larger, smaller, or equal to the number of degrees of freedom for the denominator.