Given Below Are the Analysis of Variance Results from a Minitab

question 93

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? $$\begin{array} { l | r | c | c | c | c } \text { Source } & \boldsymbol { D F } & \boldsymbol { S S } & \boldsymbol { M S } & \boldsymbol { F } & \boldsymbol { p } \\\hline \text { Factor } & 3 & 13.500 & 4.500 & 5.17 & 0.011 \\\hline \text { Error } & 16 & 13.925 & 0.870 & & \\\hline \text { Total } & 19 & 27.425 & & &\end{array}$$

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