An experiment has a single factor with eight groups and five values in each group. a. How many degrees of freedom are there in determining the among-group variation? b. How many degrees of freedom are there in determining the within-group variation? c. How many degrees of freedom are there in determining the total variation?

A) 7

B) 32

C) 39

Step-by-step explanation:

Degree of freedom is a means of checking how many values that are free to vary, while using a statistical method.

a) since the experiment has a single factor with eight critical values. Therefore;

C - F = degree of freedom among the group variation

8 - 1 = 7

b) The degree of freedom can be calculated, if the number of data; Therefore, number of data is;

N = 8 × 5 = 40

Then the degree of freedom in determining within group variation,

N - C Therefore;

40 - 8 = 32

C) The degree of freedom in determining the total variation is,

N - 1

40 - 1 = 39

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i think the correct option is the second option.