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# ANOVA table F test

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Random samples of 25 observations were selected from each of three populations. For these data, SSTR= 120 and SSE = 216.

a. Set up the ANOVA table for this population.

b. At alpha= 0.05 level of significance, can we reject the null hypothesis that the three population means are equal?

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#### Solution Preview

Random samples of 25 observations were selected from each of three populations. For these data, SSTR= 120 and SSE = 216.

a. Set up the ANOVA table for this population.
The treatment degrees of freedom are always one less than the number populations under study. In this case the number of populations is 3 so the degrees of freedom are 2. The total degrees freedom is one less than the total number of ...

#### Solution Summary

Given the sample size and the sums of squares, this solution shows how to set up the ANOVA table for a one-way analysis of variance and how to use the information in the table to test the null hypothesis that all population means are the same.

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