Find the critical F0-value to test the hypothesis that the populations have the same mean. Use α= 0.05. $$\begin{array} { l c c }
\hline \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } \
\hline \mathrm { n } _ { 1 } = 8 & \mathrm { n } _ { 2 } = 8 & \mathrm { n } _ { 3 } = 8 \
\overline { \mathrm { x } } 1 = 3.0 & \overline { \mathrm { x } } 2 = 2.6 & \overline { \mathrm { x } } 3 = 2.6 \
\mathrm {~s} _ { 1 } = 0.50 & \mathrm {~s} _ { 2 } = 0.60 & \mathrm {~s} _ { 3 } = 0.55 \
\hline
\end{array}$$
A) 3.49
B) 3.210
C) 2.819
D) 1.892

Question

Find the critical F0-value to test the hypothesis that the populations have the same mean. Use α= 0.05. $$\begin{array} { l c c } 
\hline \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } \
\hline \mathrm { n } _ { 1 } = 8 & \mathrm { n } _ { 2 } = 8 & \mathrm { n } _ { 3 } = 8 \
\overline { \mathrm { x } } 1 = 3.0 & \overline { \mathrm { x } } 2 = 2.6 & \overline { \mathrm { x } } 3 = 2.6 \
\mathrm {~s} _ { 1 } = 0.50 & \mathrm {~s} _ { 2 } = 0.60 & \mathrm {~s} _ { 3 } = 0.55 \
\hline
\end{array}$$
A) 3.49
B) 3.210
C) 2.819
D) 1.892

Quizplus · Accepted Answer

The critical F0-value is determined by the degrees of freedom for the numerator (k-1) and the denominator (N-k), where k is the number of groups and N is the total number of observations. Here, k=3 and N=24, so the degrees of freedom are 2 and 21. Using an F-distribution table at α=0.05, the critical value is 3.49.

Find the Critical F0-Value to Test the Hypothesis That the Populations