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.
-What can you conclude about the equality of the population means? $$\begin{array} { l r c c c c }
\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \
\text { Factor } & 3 & 13.500 & 4.500 & 5.17 & 0.011 \
\text { Error } & 16 & 13.925 & 0.870 & & \
\text { Total } & 19 & 27.425 & & &
\end{array}$$
A) Reject the null hypothesis since the p-value is less than the significance level.
B) Accept the null hypothesis since the p-value is greater than the significance level.
C) Reject the null hypothesis since the p-value is greater than the significance level.
D) Accept the null hypothesis since the p-value is less than the significance level.

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.
-What can you conclude about the equality of the population means? $$\begin{array} { l r c c c c } 
\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \
\text { Factor } & 3 & 13.500 & 4.500 & 5.17 & 0.011 \
\text { Error } & 16 & 13.925 & 0.870 & & \
\text { Total } & 19 & 27.425 & & &
\end{array}$$
A) Reject the null hypothesis since the p-value is less than the significance level.
B) Accept the null hypothesis since the p-value is greater than the significance level.
C) Reject the null hypothesis since the p-value is greater than the significance level.
D) Accept the null hypothesis since the p-value is less than the significance level.

Quizplus · Accepted Answer

The p-value of 0.011 is less than the significance level of 0.05, which means there is sufficient evidence to reject the null hypothesis that the different samples come from populations with the same mean. Therefore, we can conclude that the population means are not equal.

Given Below Are the Analysis of Variance Results from a Minitab