Answer:
<em>A. The F statistic increases as the differences among the sample means for the exercise groups increase.</em>
<em>C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.</em>
<em>F. The F statistic is 9.2242.</em>
Step-by-step explanation:
Given that
Observations Samples Total
40-49 10 11 9 9 39
The degrees of freedom is given by
For numerator= k-1 = 4-1=3
For denominator= n-k= 39-4= 35
F statistic is given by
F= MS between/ MS within
=11.632991 / 1.261143 = 9.2242
Where
Mean Square Between = MS between = 11.632991
Mean Square Within = MS within = 1.261143
<u>Hence the correct choices are A, C and F</u>
<em>A. The F statistic increases as the differences among the sample means for the exercise groups increase.</em>
<em>C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.</em>
<em>F. The F statistic is 9.2242.</em>
<em></em>
Suppose we have
Mean Square Between = MS between = 18.632991
Mean Square Within = MS within = 1.261143
Then F statistic would be = 14.77468 > 9.2242
which tells that <em>The F statistic increases as the differences among the sample means for the exercise groups increase.</em>
