Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the four paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained:

1. Using ANOVA equations, at the ? = 0.05 level of significance test to see whether the mean drying time is the same for each type of paint. Also cite the p-value of your conclusion.
2. Convert your data into a series of indicator variables ready for use in a multiple linear regression. Show your result
3. After excluding one of those indicator variables (you can pick which one), use the others as explanatory variables in a multiple linear regression and show the result. At the ? = 0.05 level of significance to state if you reject or not the null hypothesis for the "F test for Overall Significance". Give the test statistic's p-value
4. Using combinations of the estimated model coefficients only, estimate the mean drying time for each of the four types of paint. Show your work. For example, is the estimated mean time for paint 1 equal to the estimated intercept + 2 x estimated coefficient for the indicator variable of paint 4? [So, do not merely calculate and report the sample mean per paint.]