Question

The following data are from a completely randomized design. $\begin{array}{ccc} & \text { Treatment } & \\ \mathbf{A} & \mathbf{B} & \mathbf{C} \\ 162 & 142 & 126 \\ 142 & 156 & 122 \\ 165 & 124 & 138 \\ 145 & 142 & 140 \\ 148 & 136 & 150 \\ 174 & 152 & 128\end{array}$ $\begin{array}{lccc}\text { Sample mean } & 156 & 142 & 134 \\ \text { Sample variance } & 164.4 & 131.2 & 110.4\end{array}$ a. Compute the sum of squares between treatments. b. Compute the mean square between treatments. c. Compute the sum of squares due to error d. Compute the mean square due to error. e. Set up the ANOVA table for this problem. f. $\quad$ At the $\alpha=.05$ level of significance, test whether the means for the three treatments are equal.

          The following data are from a completely randomized design. $\begin{array}{ccc} & \text { Treatment } & \\ \mathbf{A} & \mathbf{B} & \mathbf{C} \\ 162 & 142 & 126 \\ 142 & 156 & 122 \\ 165 & 124 & 138 \\ 145 & 142 & 140 \\ 148 & 136 & 150 \\ 174 & 152 & 128\end{array}$ $\begin{array}{lccc}\text { Sample mean } & 156 & 142 & 134 \\ \text { Sample variance } & 164.4 & 131.2 & 110.4\end{array}$ a. Compute the sum of squares between treatments.
b. Compute the mean square between treatments.
c. Compute the sum of squares due to error
d. Compute the mean square due to error.
e. Set up the ANOVA table for this problem.
f. $\quad$ At the $\alpha=.05$ level of significance, test whether the means for the three treatments are equal.

Added by Kayla O.

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