You want to compare years of schooling among American adults who describe their

Question

You want to compare years of schooling among American adults who describe their political viewpoint as liberal, moderate, or conservative. You gather a random sample of American adults in each of these three categories of political viewpoint.

Now suppose that the three sample sizes are 24 for each of the three groups, and also suppose that the standard deviations of years of schooling are very similar in the three groups. Assume that all three populations do, in fact, have the same standard deviation. Suppose that the three sample means turn out to be 11.6, 12.3, and 13.0 years.

a) Without doing any ANOVA calculations, state a value for the standard deviation that would lead you to reject Ho. Explain your answer.

Explanation / Answer

Assume standard deviations are 1.5,2,2.1

Anova Table

SS df MS F p Between: 23.52 2 11.76 3.31 0.042 Within: 245.18 69 3.553 Total: 268.7 71

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