Given Below Are the Analysis of Variance Results from a Minitab

question 106

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? $$\begin{array} { l r c c c c } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { p } \\\text { Factor } & 3 & 13.500 & 4.500 & 5.17 & 0.011 \\\text { Error } & 16 & 13.925 & 0.870 & & \\\text { Total } & 19 & 27.425 & & &\end{array}$$

• 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.

---

Definitions:

Alternative Solutions

Different approaches or methods to solve a problem or achieve a goal, offering options outside the conventional path.

Main Clause

An independent clause in a sentence that can stand alone as a complete thought because it contains a subject and a predicate.

Indirect Method

A communication strategy that involves implying or suggesting the main message rather than stating it outright.

Bad News

Unfavorable information or updates about situations or events, often requiring careful communication.