Question

fund yield by asset class
small cap
fund yield (%)
explorer value 2.44
small - cap value index admiral 2.46
small - cap index admiral shares 1.49
strategic small - cap equity 2.37
explorer 0.17
small - cap growth index admiral 0.21
explorer value 2.46
small - cap etf 1.44
mid cap
fund yield (%)
capital value 0.96
mid - cap value index admiral 1.57
extended market index admiral shares 1.22
mid - cap index admiral shares 1.52
mid - cap growth 1.24
capital value 0.32
strategic equity 1.54
capital opportunity admiral shares 1.79
large cap
fund yield (%)
equity income 3.24
high dividend yield index 3.50
500 index admiral shares 1.57
diversified equity 1.23
ftse social index 1.42
growth equity 0.27
u.s. growth 0.37
windsor 1.64
sum of squares for treatments ≈ 1.1125
sum of squares for error ≈ 18.7652
step 2 of 2: find the mean square for treatments. round your answer to two decimal places, if necessary.
answer
mean square for treatments=

Explanation:

Step1: Recall the formula for mean square for treatments

The formula for the mean square for treatments (MST) is $MST=\frac{SS_{treatments}}{df_{treatments}}$. Here, we are not given the degrees - of - freedom for treatments ($df_{treatments}$). But if we assume a one - way ANOVA setup with $k$ groups (in this case, the three asset classes: Small Cap, Mid Cap, Large Cap, so $k = 3$), the degrees of freedom for treatments $df_{treatments}=k - 1=3 - 1 = 2$. And we are given that $SS_{treatments}\approx1.1125$.

Step2: Calculate the mean square for treatments

$MST=\frac{SS_{treatments}}{df_{treatments}}=\frac{1.1125}{2}=0.55625\approx0.56$

Answer:

$0.56$