Samples Were Selected from Three Populations $$\begin{array}{l}\text { Sample } 1& \text { Sample } 2& \text { Sample } 3\\10 & 16 & 15 \\13 & 14 & 18 \\12 & 15 & \\13 & &\end{array}$$

question 40

Essay

Samples were selected from three populations. The data obtained are shown below.
$$\begin{array}{l}\text { Sample } 1& \text { Sample } 2& \text { Sample } 3\\10 & 16 & 15 \\13 & 14 & 18 \\12 & 15 & \\13 & &\end{array}$$ $\begin{array}{lcc}\text { Sample Mean } & 12 & 15 &16.5\\\text { Sample Variance } & 2.0 & 1.0&4.5\end{array}$
a. Compute the overall mean .
b. Set up an ANOVA table for this problem.
c. At 95% confidence, test to determine whether there is a significant difference in the means of the three populations. Use both the critical and p-value approaches.

---

Definitions:

Gains and Losses

Increases or decreases in equity from transactions and other events and circumstances affecting the entity, other than those relating to contributions from or distributions to equity participants.

Salary Allowances

Monetary benefits in addition to regular salary provided to employees, which may cover expenses such as housing, transportation, and medical expenses.

Partnership Net Income

The total profits earned by a partnership that are to be divided among partners in agreed-upon proportions.

Equity

The amount of funds contributed by owners (shareholders) plus the retained earnings (or losses), representing ownership interest in a firm.