Answer
1.154
Work Step by Step
$\bar x = \frac{(10\times40+10\times42+10\times44)}{10\times3} = 44$
k = 3
$MST = \frac{10(40-42)^{2} + 10(42-42)^{2}+ 10(44-42)^{2}}{3-1}$
$MST = \frac{10 (4 + 4)}{2} = 40$
$MSE = \frac{9\times48 + 9\times31 + 9\times25}{30 - 3}$
$= \frac{432 + 279 + 225}{27}$
= 34.67
F-test Statistic = 40/34.67 = 1.154
