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

question 41

Multiple Choice

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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Definitions:

Conjugate Base

The resulting species after a proton has been given up by an acid in a chemical reaction.

Phenol

An aromatic organic compound with the molecular formula C6H5OH, featuring a phenyl group bonded to a hydroxyl group.

Trifluoromethanesulfonic Acid

A strong acid often used in organic chemistry syntheses, recognized for its powerful protonating ability.

Methanesulfonic Acid

A strong organic acid featuring a sulfonic acid group attached directly to a methane molecule, known for its good water solubility and use in organic reactions.