The following data are from a completely randomized design. Treatment A B C 161 147 124 142 159 122 165 125 131 144 147 141 149 136 151 175 144 135 Sample mean 156 143 134 Sample variance 171.2 132.4 118.4 a. Compute the sum of squares between treatments (to the nearest whole number). 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). d. 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-value to four decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments x X X Error Tota f. At the a = 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 between 0.01 and 0.025 v What is your conclusion? Conclude that not all treatment means are equal V V