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

Four different paints were advertised as having the same drying time. To check the manufacturer's claims, five items were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The data are as follows: Paint 1 Paint 2 Paint 3 Paint 4 128 144 133 150 137 133 143 142 135 142 137 135 124 146 136 140 141 130 131 153 a). At 5% level of significance, is there sufficient evidence of a difference in the actual average drying time between each type of paint? Show all necessary work. b). What type of error is possible and describe this error in terms of the problem. c). At 5% level of significance, explain very carefully which paints differ in terms of the actual average drying time. d). Explain the significance of the analysis you used to answer the question in part "c" and how this analysis works. Explain all aspects of the analysis very carefully. e). Using Minitab, generate the printouts of the plots for the statistical analysis you used in part (a). What information does each plot provide in terms of the above study? Explain Carefully