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An avid gardener wants to know which of two brands of fertilizei is best for her tomatoes. The two brands of fertilizer are A and
An avid gardener wants to know which of two brands of fertilizei is best for her tomatoes. The two brands of fertilizer are A and B. She plants five pairs of tomato plants in two rectangular planters and places them beside one another. She gives each set of tomato plants the same amount of water each day, only she gives one set of plants fertilizer A and the other set of plants fertilizer B. At the end of the growmg season, she counts the number of tomatoes each plant has yieded. Assume that all conditions for inference have been met The rectangular planters are lined up so that plant 1 is beside plant 5, and plant 2 is beside plant 7, and so on. The yield for the five pairs of tomato plants are given. Plant 12345 Vield with Fertilizer A :a Ui \\J v: m Plant 6 7 8 9 10 N H u is a Vield with Fertilizer B The gardener believes that fertilizer A enhances the yield of her tomatoes more than fertilizer B. She uses the following order of subtraction when determining the difference in the yields for the two brands: A 7 B. (a) We would like to carry out a t test for the population mean difference. Calculate the point estimate. / (b) Calculate the standaid deviation of the differences. (Round your answei to three decimal places.) 32 75 34 You may calculate s using the formula for standard deviation or technology. (c) Calculate the test statistic. (Round your answer to two decimal places.) mm x
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