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? $$\begin{array} { l r c c c c }
\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \
\text { Factor } & 3 & 30 & 10.00 & 1.6 & 0.264 \
\text { Error } & 8 & 50 & 6.25 & & \
\text { Total } & 11 & 80 & & &
\end{array}$$
A) Accept 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 less than the significance level.
D) Reject the null hypothesis since the p-value is greater 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? $$\begin{array} { l r c c c c } 
\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \
\text { Factor } & 3 & 30 & 10.00 & 1.6 & 0.264 \
\text { Error } & 8 & 50 & 6.25 & & \
\text { Total } & 11 & 80 & & &
\end{array}$$
A) Accept 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 less than the significance level.
D) Reject the null hypothesis since the p-value is greater than the significance level.

Quizplus · Accepted Answer

The p-value (0.264) is greater than the significance level (0.05), so we fail to reject the null hypothesis, suggesting that there is not enough evidence to conclude that the population means are different.

Given Below Are the Analysis of Variance Results from a Minitab