Question

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 pound are recorded as below.

GeneticallyModified	Regular
20	21
23	21
27	22
25	18
25	20
25	20
27	18
23	25
24	23
22	20

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.

The p-value is

Answer 1

Using Excel<data<megastat<hypothesis test<paired

Hypothesis Test: Paired Observations
	0.000	hypothesized value
	24.100	mean genetically
	20.800	mean Regular
	3.300	mean difference (genetically - Regular)
	3.498	std. dev.
	1.106	std. error
	10	n
	9	df
	2.984	t
	.0077	p-value (one-tailed, upper)
	-0.294	confidence interval 99.% lower
	6.894	confidence interval 99.% upper
	3.594	margin of error

P value=0.0077

Since p value>0.01(alpha). Fail to reject the null hypothesis. There is not sufficient evidence to conclude that the mean yield of the genetically modified variety is greater than that for the standard variety.