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# Significant Difference

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Determine whether there is significant difference among the education levels of cities with median income less that 30k, between 30k and 35k, and higher than 35k.

What is the power of the test?

https://brainmass.com/statistics/median/testing-significant-difference-between-populations-12510

#### Solution Preview

Determine whether there is significant difference among the education levels of cities with median income less that 30k, between 30k and 35k, and higher than 35k.
What is the power of the test?

We will use ANOVA to make the test
* The null hypothesis will be that all the cities have the same education levels, the alternative hypothesis is that at least one mean is different:
H0: D1=D2=D3 vs. H1: at least one D is different
* since the income data for Fort Worth, TX is not available in your EXCEL file, we have to drop the observation. Fortunately, we still have 59 observations for the test.

Please refer to the attached EXCEL working sheet.
The grand mean of a set of samples is the total of all the data values divided by the total sample size. Dgm= SUM(all education level) /59 = ...

#### Solution Summary

Determine whether there is significant difference among the education levels of cities with median income less that 30k, between 30k and 35k, and higher than 35k.

What is the power of the test?

\$2.49