An experiment has a single factor with three groups and six values in each group. In determining the among$-$group variation, there are $2$ degrees of freedom. In determining the within$-$group variation, there are $15$ degrees of freedom. In determining the total variation, there are $17$ degrees of freedom.

a$.$ If SSA $=24$ and SST $=84,$ what is SSW$?$

b$.$ What is MSA?

c$.$ What is MSW$?$

d$.$ What is the value of F ${?}_{\text{S}\text{T}\text{A}\text{T}}?$

a$.SSW=$

$($Type an integer or a decimal.$)$

b$.$ MSA$=$

$($Type an integer or a decimal.$)$

c$.MSW=$

$($Type an integer or a decimal.$)$

d$.F_{\text{S}\text{T}\text{A}\text{T}}=$

$($Type an integer or a decimal.$)$