Hint(s) Check My Work The following data are from a completely randomized design. Treatment A B 164 145 124 142 156 122 168 128 131 143 145 145 148 135 151 171 143 131 Sample mean 156 142 134 Sample variance 172.4 92 134.4 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 0 c. Compute the sum of squares due to error (to the nearest whole number). 2226 d. Compute the mean square due to error (to 1 decimal). 148.4% 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 1488 2 744 5.01 X 0.0215 x Error 2226 X 15 148.4* Total 3714 x 17 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). 5.01 The p-value is between 0.01 and 0.025 |