Question

In: Statistics and Probability

Four different paints are advertised as having the same drying time. To check the manufacturer's claims,...

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 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. We wish to test at 5% significance whether mean drying time is same for each type of paint. Treated Sum of Squares = 330 and Error Sum of Squares = 692. (Hint: Construct ANOVA Table)

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. Find treatment Mean Square

B. Find error mean square

C. What is the value of your calculated test statistic (2 decimal)

Solutions

Expert Solution

a) treatment Mean Square =110

b) error mean square =43.250

c) calculated test statistic F = treatment Mean Square/error mean square =2.54


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