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A 1000-Acre Farm Historically Averages 196 Bushels Per Acre with a Standard

Question 21

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A 1000-acre farm historically averages 196 bushels per acre with a standard deviation of 15 bushels per acre.Fifty acres are sampled and the yields determined.Is it appropriate to assume this data will be well modeled by a Normal distribution?


A) The Normal distribution cannot be used since the 50 acres are not necessarily independent.
B) The Normal distribution can be used since the 50 acres represent no more than 10% of all farm acres.
C) The Normal distribution cannot be used.The distribution in the sample should resemble that in the population,which may be skewed by some acres with extremely low yields.
D) The Normal distribution cannot be used since the sample size is not large enough for the Normal model to work well.
E) The Normal distribution can be used since the sample is random and the yields for each acre are independent.

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