An experiment is conducted to determine if the use of a special chemical additive with a standard fertilizer accelerates plant growth. Ten locations are included in the study. At each location, two plants growing in close proximity are treated. One is given the standard fertilizer, the other the standard fertilizer with the chemical additive. Plant growth after four weeks is measured in centimeters. Do the following data substantiate the claim that use of the chemical additive accelerates plant growth? State the assumptions that you make and devise an appropriate test of the hypothesis. Take or = .05.

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Location 1 2 3 4 5 6 7 8 9 10 Without 20 31 17 22 19 32 25 18 21 19 additive With 23 34 16 21 22 31 29 20 25 23 additive