Exercise $6$

The data in the following table show measurements of wear on the spring side of an air pump slider after a durability test. Eight sliders were made under each of three conditions of surface finishing, A$1$: Lapping, A$2$: Shot$-$blast and A$3$: Sandpaper.

Perform an ANOVA is to test if there is any significant difference amongst three different types of surfaces using a significance level of $0\mathrm{.}05.$

Table $1($The measurements are in $m)$

$\backslash$table$[[A_1,30,10,30,10,40,20,30,20],[A_2,50,40,50,60,70,50,30,40],[A_3,80,60,80,70,80,50,70,60]]$