Consider the statistical model defined by Equation (5.1) and suppose $H_{0}: tau_{1}=cdots=tau_{k}=0$ is true. Show that the

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Consider the statistical model defined by Equation (5.1) and suppose $H_{0}: \tau_{1}=\cdots=\tau_{k}=0$ is true. Show that the following are true.

a. $S S_{\text {Treat }} / \sigma^{2} \sim \chi_{k-1}^{2}$.

b. $S S_{E} / \sigma^{2} \sim \chi_{N-k}^{2}$.c. $M S_{\text {Treat }} / M S_{E} \sim F_{k-1, N-k}$.

Data from Equation 5.1

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