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

10.5 Analysis of Variance and the Completely Randomized Design 413 Exercise 34 will ask you to analyze the NCP data using the analysis of variance procedure.

SELF test Treatment ABC 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 164.4 131.2 110.4

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 α  .05 level of significance, test whether the means for the three treatments are equal.