Given Below Are the Analysis of Variance Results from a Minitab

question 21

Multiple Choice

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) Reject the null hypothesis since the p-value is less than the significance level.
• C) Accept the null hypothesis since the p-value is greater than the significance level.
• D) Reject the null hypothesis since the p-value is greater than the significance level.