Consider an ANOVA situation with a = 4 means . Suppose

Chapter 13, Problem 62SE

(choose chapter or problem)

Consider an ANOVA situation with $\alpha=4$ means

$\mu_{1}=1, \mu_{2}=5, \mu_{3}=8, \text { and } \mu_{5}=4$ Suppose that

$\sigma^{2}=4,4, n \text { and } \alpha=0.05$

(a) Find the power of the ANOVA $F \text {-test }$.

(b) How large would the sample size have to be if you want the power of the $F \text {-test }$ for detecting this difference in means to be at least 0.90?

Equation Transcription:

$\alpha{}=4$

${\mu{}}_{1}=1,\ {\mu{}}_{2}=5,\ {\mu{}}_{3}=8,\ and\ {\mu{}}_{5}=4$

${\sigma{}}^{2}=4,\ 4,\ n\ and\ \alpha{}=0.05$

$F-test$

Text Transcription:

\alpha=4

$\mu_1=1, \mu_2=5, \mu_3=8, and \mu_5=4$

$\sigma^2=4,4, n and \alpha=0.05$

F-test

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