An agricultural field trial compares the yield of two varieties of tomatoes for
ID: 3254093 • Letter: A
Question
An agricultural field trial compares the yield of two varieties of tomatoes for commercial use. The researchers divide in half each of 10 small plots of land in different locations and plant each tomato variety on one half of each plot. After harvest, they compare the yields in pounds per plant at each location. Assume the yields are normally distributed. The 10 differences (Variety A - Variety B) give the following statistics: x = 0.2 and s = 0.8. Is there convincing evidence that Variety A has the higher mean yield? State Ho and Ha, and give a p-value to answer this question. (Use = 0.05.)
Ho:
= 0
< 0
0
> 0
Ha:
< 0
0
= 0
> 0
p-value
p-value < 0.005
0.005 < p-value < 0.01
0.01 < p-value < 0.025
0.025 < p-value < 0.05
0.05 < p-value < 0.10
p-value > .10
Conclusion (MULTIPLE CHOICE SELECT 1)
Reject Ho. There is sufficient evidence that the alternative hypothesis is true.Do not reject Ho. There is sufficient evidence that the alternative hypothesis is true.
Do not reject Ho.
There is not sufficient evidence that the alternative hypothesis is true.Reject Ho.
There is not sufficient evidence that the alternative hypothesis is true.
Explanation / Answer
H0 : µ = 0,
Ha : µ > 0
t = (0.2-0)/0.8 = 0.25, df = 9
P for right tailed test = 0.4041
Do not reject Ho. There is not sufficient evidence that the alternative hypothesis is true.
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