Exercise 13.01 Algo (Analysis of Variance and the Completely Randomized Design) The following data are from a completely randomized design. Treatment A B C 162 148 126 141 156 122 168 128 134 145 148 148 149 134 151 171 144 123 Sample mean 156 143 134 Sample variance 160 105.2 162.8 a. Compute the sum of squares between treatments (to the nearest whole number). x b. Compute the mean square between treatments (to 1 decimal). x c. Compute the sum of squares due to error (to the nearest whole number). x 1. Compute the mean square due to error (to 1 decimal). X 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- Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments X X X X Error x Total X x f. At the @ = 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). x The p-value is - Select your answer - V X What is your conclusion? - Select your answer - V X