An agricultural field trial compares the yield of two varieties of tomatoes for

Question

An agricultural field trial compares the yield of two varieties of tomatoes for use. The researchers divide in half each of 9 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. The 9 differences (variety A - variety B) give a sample mean of 0.5 and standard deviation s = 0.6. Let mu represent the mean difference (variety A - variety B) in the yields for the population of all tomatoes of varieties A and B. Assume the distribution of the population of differences in yields is approximately normal. Is there convincing evidence that variety A has the higher mean yield? In the above data, what is a 95% confidence interval for mu?         A. 0.5 +/- 0.20        B. 0.5 +/- 0.46        C. 0.5 +/- 0.60        D. 0.5 +/- 1.38

Explanation / Answer

mu1 - mu2 is normal with mean = 0.5

and s = 0.6

std error = 0.6/ rt9 = 0.2

For 95% confidence t critical = 2.306

Margin of error = 0.4612

Hence confidence interval =B(0.5+/- 0.46 )

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