Exercise 13.01 Algo (Analysis of Variance and the Completely Randomized Design) The following data are from a completely randomized design. Treatment A C 164 143 126 142 156 121 168 129 136 144 143 144 149 139 154 169 142 135 Sample mean 156 142 136 Sample variance 153.2 75.2 142.8 a. Compute the sum of squares between treatments (to the nearest whole number). b. Compute the mean square between treatments (to 1 decimal). C. Compute the sum of squares due to error (to the nearest whole number). d. Compute the mean square due to error (to 1 decimal). e. Set up the ANOVA table for this problem. Round all Sum of Squares to nearest whole numbers. Round all Mean Squares to one decimal place. Round F to two decimal places. Round your p-value to four decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments Error Total f. At the or = 0.05 level of significance, test whether the means for the three treatments are equal. Calculate the value of the test statistic (to 2 decimals). The p-value is - Select your answer - v What is your conclusion? - Select your