Answer
34.754
Work Step by Step
$\bar x = \frac{(15\times105+15\times110+15\times108+ 15\times90)}{15\times4} = 103.25$
k = 4
$MST = \frac{15(105-103.25)^{2} + 15(110-103.25)^{2}+ 15(108-103.25)^{2}+ 15(90-103.25^{2}}{4-1}$
$MST = \frac{3701.28}{3} = 1233.76$
$MSE = \frac{14 (34+40+30+38}{56}$
= 35.5
F-test Statistic = 1233.76/35.5 =34.754
