Question 5: (from chapter 10) A genetic engineering company claims that it has developed a genetically modied tomato plant that yields 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 tomato plants are grown from seeds along with ten other tomato plants. At the season's end, the resulting yields in pound are recorded as below. Sample 1 Sample 2 Generically Modified Regular 21 22 24 22 28 23 26 19 26 21 26 21 28 19 24 26 25 24 23 21 a. Construct the 99% confidence interval for the difference in the population means based on these data. b. Test, at the 1% level of significance, whether the data provide sufficient evidence to conclude that the mean yield of the genetically modified variety is greater than that for the standard variety