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.
-Find the critical value. $$\begin{array} { l r c c c c }
\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \
\text { Factor } & 3 & 30 & 10.00 & 1.6 & 0.264 \
\text { Error } & 8 & 50 & 6.25 & & \
\text { Total } & 11 & 80 & & &
\end{array}$$
A) 8.85
B) 7.59
C) 4.07
D) 1.6

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.
-Find the critical value. $$\begin{array} { l r c c c c } 
\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \
\text { Factor } & 3 & 30 & 10.00 & 1.6 & 0.264 \
\text { Error } & 8 & 50 & 6.25 & & \
\text { Total } & 11 & 80 & & &
\end{array}$$
A) 8.85
B) 7.59
C) 4.07
D) 1.6

Quizplus · Accepted Answer

To find the critical value, we need to use the F-distribution table with degrees of freedom (DF) of 3 and 8, which correspond to the factor and error rows, respectively. At a significance level of 0.05, the critical value is the one that cuts off the upper 5% of the F-distribution. The critical value is 4.07, which is closest to choice C. Therefore, the answer is C.

Given Below Are the Analysis of Variance Results from a Minitab