Question

Fill in the missing entries in the partially completed one-way ANOVA table

Short answer

The completed ANOVA table is

Step-by-step solution

Given information

The given table is

Explanation

The given data is

Find the treatment degrees of freedom

$df=total-error$

$=14-12$

$=2$

Then find the treatment sum of squares SSTR

$MSTR=\frac{SSTR}{k-1}$

$SSTR=MSTR(k-1)$

$=1.4\left(2\right)$

$=2.8$

Find the error sum of squares SSE

$SSE=MSE(n-k)$

$=0.9\left(12\right)$

$=10.8$

Find the total sum of squares SST

$SST=SSTR+SSE$

$=2.8+10.8$

$=13.6$

Find the F-statistic

$F-statistic=\frac{MSTR}{MSE}$

$=\frac{1.4}{0.9}$

$=1.556$

Therefore the completed ANOVA table is