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- Apr 14, 2013

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In an effort to evaluate the quality of a new fertilizer we selected 12 fields which we split exactly in the middle. In the one half we used the old fertilizer and in the other half we used the new fertilizer. Then we measured in tonnes the crop that was harvested from each piece of land.

The results are in the following table:

- Should we use the dependent or the independent samples method to compare crops from the old and the new fertilizer?
- At significance level $a = 10\%$ can we say that the new fertilizer is more efficient than the old one?
- If we used the method of independent samples, what would we conclude? Compare the tests of questions 2 and 3.

I have done the following:

- The two samples are dependent since they come from the same fields. The fields with the most crop with the old fertilizer will probably have the most crop also with the new fertilizer.

Is that correct?

- Do we calculate the mean value and define the null hypothesis and the alternativ hypothesis? Or how can we check that?