14. A genetic engineering company claims that it has developed a genetically modified tomato plant that ury in their tissue. to conclude tha vields 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 seed: along with ten other tomato plants. At the season's end, the resulting yields in pounds are recorded as below. Sample 1 (genetically modified) (regular) Sample 2 20 21 23 21 27 22 25 18 25 20 27 18 23 25 23 24 22 20 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.

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rcury in their tissue.
to conclude tha
14. A genetic engineering company claims that it has developed a genetically modified 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 pounds are recorded as
below.
Sample 1
(genetically modified) (regular)
Sample 2
20
21
23
21
27
22
25
18
25
20
27
18
23
25
24
23
22
20
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.
Transcribed Image Text:rcury in their tissue. to conclude tha 14. A genetic engineering company claims that it has developed a genetically modified 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 pounds are recorded as below. Sample 1 (genetically modified) (regular) Sample 2 20 21 23 21 27 22 25 18 25 20 27 18 23 25 24 23 22 20 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.
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