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.

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Definitions:

Situational Compliance

Kochanska’s term for obedience of a parent’s orders only in the presence of signs of ongoing parental control.

Caregiver

An individual who provides care and support to another person, often a family member or someone with a health concern or disability.

Process Characteristics

The attributes or properties that define the operations and activities within a process, shaping its overall performance.

Structural Characteristics

The identifiable attributes or features that determine the configuration of an organism, object, or system.