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 yields in kilograms per variety at each location. The 10 differences (Variety A - Variety B) give the following statistics. x̄ = 0.34 and s = 0.83. Assume that the underlying populations are distributed normally.

1. State H_o and H_a and justify your statement.
2. Is there convincing evidence that Variety A has a higher mean yield?
3. Explain the logic of your answer to part (b).

Answer 1

Selution Let Sample ize n = 10 Stamdase doviation 083 mean 123 Population mean 0 CM) Test hypetheis ave Null hyteothesris a) Ho : 써 Alternate hypethsis Test tatistic O.34-0 83/J1O 29539 PValue tailed PCt>-.1y0)1o 1138 Rght Sne, Pvalue is very high hunc mull hypetheris to 3ut the

TEst clain s Vasriety A has higne mean yeld Vasecaty A has haghon yiold thun vaisty A -VeielB should be but grvern mmean difesramee is mgative Pesilve So, We Cam hay there is mo eidence to uptt the claim