A One-Way ANOVA Is to Be Performed $\overline { x _ { 1 } } = 20 , \overline { x _ { 2 } } = 30 , \overline { x _ { 3 } } = 40$

question 47

Essay

A one-way ANOVA is to be performed. The following sample data are obtained. $\overline { x _ { 1 } } = 20 , \overline { x _ { 2 } } = 30 , \overline { x _ { 3 } } = 40$ The common population standard deviation for the three populations is 2.5. Do you think that the difference between the sample means could be due to variation within the populations or does it seem clear that the difference between the sample means is due to a difference between population means? Do you think that the null hypothesis would be rejected? Explain your thinking.

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Definitions:

Fuzzy Trace Theory

A cognitive psychology theory suggesting people encode information into two types of representations: verbatim (exact details) and gist (the essence or meaning).

Problem Solving

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Applying Rules

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Using Analogies

The practice of explaining a concept or idea by comparing it to something else that is more familiar or simpler to understand.