Find the critical $$\mathrm { F } _ { 0 }$$ -value to test the claim that the populations have the same mean. Use $$\alpha = 0.05 \text {. }$$ $$\begin{array} { l c l }
\hline \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } \
\hline \mathrm { n } = 8 & \mathrm { n } = 8 & \mathrm { n } = 8 \
\overline { \mathrm { x } } = 3.0 & \overline { \mathrm { x } } = 2.6 & \overline { \mathrm { x } } = 2.6 \
\mathrm {~s} = 0.50 & \mathrm {~s} = 0.60 & \mathrm {~s} = 0.55 \
\hline
\end{array}$$
A)3.47
B)3.210
C)2.819
D)1.892

Question

Find the critical $$\mathrm { F } _ { 0 }$$ -value to test the claim that the populations have the same mean. Use $$\alpha = 0.05 \text {. }$$ $$\begin{array} { l c l } 
\hline \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } \
\hline \mathrm { n } = 8 & \mathrm { n } = 8 & \mathrm { n } = 8 \
\overline { \mathrm { x } } = 3.0 & \overline { \mathrm { x } } = 2.6 & \overline { \mathrm { x } } = 2.6 \
\mathrm {~s} = 0.50 & \mathrm {~s} = 0.60 & \mathrm {~s} = 0.55 \
\hline
\end{array}$$
A)3.47
B)3.210
C)2.819
D)1.892

Quizplus · Accepted Answer

The critical F-value for a test to compare the means of three groups (with equal sample sizes and assuming equal variances) at a significance level of $\alpha = 0.05$ and degrees of freedom $\mathrm{df}_1 = k - 1 = 3 - 1 = 2$ and $\mathrm{df}_2 = N - k = 24 - 3 = 21$ (where $k$ is the number of groups and $N$ is the total number of observations) can be found in F-distribution tables or using statistical software. For these degrees of freedom, the critical F-value is approximately 3.47.

Find the Critical F0\mathrm { F } _ { 0 }F0​

Find the Critical $\mathrm { F } _ { 0 }$