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Exercise 13.01 Algo (Analysis of Variance and the Completely Randomized Design) Hint(s) Ch The following data are from a completely randomized design. Treatment A B C 164 145 125 142 157 121 168 127 139 144 145 142 148 139 151 170 139 138 Sample mean 156 142 136 Sample variance 161.6 97.2 124 a. Compute the sum of squares between treatments (to the nearest whole number). 1488 b. Compute the mean square between treatments (to 1 decimal). 744 c. Compute the sum of squares due to error (to the nearest whole number). 2030 x d. Compute the mean square due to error (to 1 decimal). 135.3 X2. 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 Io-value to four decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F pvalue Treatments 1438 0 2 M 962 0 5.01 0 .0215 6 Error 23 a 15 w 191.9 3 Total 4802 0 1? Q i. At the a: = [3.05 level of signicance, test whether the means for the three treatments are equal. Calculate the value of the test statistic (to 2 decimals}. 5.01 a The pvalue is | between 0.01 and 0.025 v | 9 What is your conclusion? I Conclude that not all treatment means are equal V I w