A hypothesis test with 5 level of significance is performed

A hypothesis test with 5% level of significance is performed to test whether the means of four groups are the same. Six sample values are given for each group. Then the degrees of freedom for between group variation, the degrees of freedom for total variation, and the action limit are:

3; 23; 3.03

3; 20; 3.10

3; 20; 3.03

3; 23; 3.10

Solution

A hypothesis test with 5% level of significance is performed to test whether the means of four groups are the same. Six sample values are given for each group. Then the degrees of freedom for between group variation, the degrees of freedom for total variation, and the action limit are:

3; 23; 3.03

3; 20; 3.10

3; 20; 3.03

3; 23; 3.10

DF for groups = 4-1=3

Total sample size = 4*6=24

DF for total =24-1=23

Table value for F( 3,20) at 5% level =3.10

The correct option is     3; 23; 3.10