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. Identify the value of the test statistic. $$\begin{array} { l | r | c | c | c | c }
\text { Source } & \boldsymbol { D F } & \boldsymbol { S S } & \boldsymbol { M S } & \boldsymbol { F } & \boldsymbol { p } \
\hline \text { Factor } & 3 & 13.500 & 4.500 & 5.17 & 0.011 \
\hline \text { Error } & 16 & 13.925 & 0.870 & & \
\hline \text { Total } & 19 & 27.425 & & &
\end{array}$$
A) 5.17
B) 0.011
C) 4.500
D) 13.500

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. Identify the value of the test statistic. $$\begin{array} { l | r | c | c | c | c } 
\text { Source } & \boldsymbol { D F } & \boldsymbol { S S } & \boldsymbol { M S } & \boldsymbol { F } & \boldsymbol { p } \
\hline \text { Factor } & 3 & 13.500 & 4.500 & 5.17 & 0.011 \
\hline \text { Error } & 16 & 13.925 & 0.870 & & \
\hline \text { Total } & 19 & 27.425 & & &
\end{array}$$
A) 5.17
B) 0.011
C) 4.500
D) 13.500

Quizplus · Accepted Answer

The test statistic for the ANOVA is given by the F-statistic in the table for the factor. Therefore, the value of the test statistic is 5.17.

Given Below Are the Analysis of Variance Results from a Minitab