Question 3 A genetic engineering company claims that it has developed a genetically modified tomato plant that yieklds on average more tomatoes than other varieties. A farmer wants to test the claim on a small scale before committing to a full-scale planting. Ten genetically modified Assuming underlying normal distributions with of =o, a) Calculate the 95% confidence interval for the difference in the population means based tomato plants are grown from seeds along with ten other tomato plants. At the season's on these data. end, the resulting yields in pound are recorded as below: b) Test whether the mean yield of the genetically modified variety is the same for the standard variety at a = 0.05 significance level. Sample 1 Sample 2 (genetically modified) (regular) c) Test whether the mean yield of the genetically modified variety is greater than that 20 21 for the standard variety at a = 0.05 significance level. 23 21 27 22 25 18 25 20 25 20 27 18 23 25 24 23 22 20

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