small scale before committing to a full-scale planting. Ten genetically modified ants are grown from seeds along with ten other tomato plants. At the season's on these data. sulting yields in ponnd are recorded as below: b) Test whether the mean yield of the genetically modi standard variety at a = 0.05 significance level. Sample 1 Sample 2 (genetically modified) (regular) e) Test whether the mean yield of the genetically modit 20 21 for the standard variety at a = 0.05 significance level. 23 21 27 22 25 18 25 20 25 20

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Author:Amos Gilat
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Question 3
A genetie engineering company claims that it has developed a genetically modified tomato
Assuming underlying normal distributions with of =a3,
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
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
Transcribed Image Text:Question 3 A genetie engineering company claims that it has developed a genetically modified tomato Assuming underlying normal distributions with of =a3, 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 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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