27 The following data are from a completely randomized desig

27. The following data are from a completely randomized design.

Treatment

A B C

162 142 126

142 156 122

165 124 138

145 142 140

148 136 150

174 152 128

Sample mean 156 142 134

Sample variance 164.4 131.2 110.

a. Compute the sum of squares between treatments.

b. Compute the mean square between treatments.

c. Compute the sum of squares due to error.

d. Compute the mean square due to error.

e. Set up the ANOVA table for this problem.

f. At the = . 05 level of significance, test whether the means for the three treatments are equal.