Q$2.$ An engineer, suspecting that the surface finish of metal parts is affected by both the type of

paint utilized and the duration of drying time, conducted tests using two types of paint and three

drying times $,(20,25$ and $30$ minutes$).$ Each combination of paint type and drying time was tested on three parts, yielding the following data:

Paint $1,20$ mins drying time data: $74,64,50$

Paint $1,25$ mins drying time data: $73,61,44$

Paint $1,30$ mins drying time data: $78,85,92$

Paint $2,20$ mins drying time data: $92,86,68$

Paint $2,25$ mins drying time data: $98,73,88$

Paint $2,30$ mins drying time data: $66,45,85$

State and test the appropriate hypotheses using the analysis of variance with alpha value $=0\mathrm{.}05.$

Use the formulations to find SS$,$ MSE, and F values.

Analyze the residuals from this experiment. Put computer outputs, graphs and ANOVA table.