Given below are the analysis of variance results from a Minitab display. Assume that you want to use a 0.05 significance level in testing the null hypothesis that the different samples come from populations with the same mean.
-$$\begin{array} { l r c c c c }
\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \
\text { Factor } & 3 & 30 & 10.00 & 1.6 & 0.264 \
\text { Error } & 8 & 50 & 6.25 & & \
\text { Total } & 11 & 80 & & &
\end{array}$$ Find the critical value.
A)1.6
B)8.85
C)4.07
D)7.59

Question

Given below are the analysis of variance results from a Minitab display. Assume that you want to use a 0.05 significance level in testing the null hypothesis that the different samples come from populations with the same mean.
-$$\begin{array} { l r c c c c } 
\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \
\text { Factor } & 3 & 30 & 10.00 & 1.6 & 0.264 \
\text { Error } & 8 & 50 & 6.25 & & \
\text { Total } & 11 & 80 & & &
\end{array}$$ Find the critical value.
A)1.6
B)8.85
C)4.07
D)7.59

Quizplus · Accepted Answer

The critical value in an ANOVA test is found in F-distribution tables, using the degrees of freedom for the numerator (DF for Factor) and the denominator (DF for Error) at the given significance level. Here, with DF for Factor = 3 and DF for Error = 8 at a 0.05 significance level, the critical value is approximately 4.07.

Given Below Are the Analysis of Variance Results from a Minitab