Reference no: EM132586842

Four different paints are advertised to have the same drying times. To verify the manufacturer's claim, seven 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. Below are the results which may be imported into MSExcel for analysis: (Assume the populations are normally distributed, the populations are independent and the population variances are equal)

Paint 1
Paint 2
Paint 3
Paint 4
120
120
117
128
112
130
122
131
121
121
123
131
118
126
115
129
118
126
123
127
121
114
126
126
118
117
126
137

a. Write the Null and Alternative hypothesis to test whether there is a difference in dry time between the samples of each paint?

b. What statistic would you use to analyze this?

c. At a 0.01 level of significance, what would be your decision rule?

d. From your analysis, is there a difference between drying times?

e. If there was a difference in dry times how would you determine which paint has the different drying time? (i.e. what formula would you use and what is your decision criteria?) (this is not asking for a calculation)