Given Below Are the Analysis of Variance Results from a Minitab

question 5

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.
- $$\begin{array} { l r c c c c } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \\\text { Factor } & 3 & 13.500 & 4.500 & 5.17 & 0.011 \\\text { Error } & 16 & 13.925 & 0.870 & & \\\text { Total } & 19 & 27.425 & & &\end{array}$$ What can you conclude about the equality of the population means?

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

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