It Is Desired to Compare the Average Ages at Which

question 53

Short Answer

It is desired to compare the average ages at which men and women get their first license to drive. A random sample of 75 men yielded a mean and standard deviation of 17.3 and 4.7 years, respectively. A random sample of 96 women yielded a mean and standard deviation of 19.6 and 5.1 years, respectively. If it is desired to estimate the mean difference to within 1.5 years with 95% confidence, how large a sample should be taken from each population? Assume n₁ = n₂ = n.
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Definitions:

Octyl Acetate

An organic compound that is formed from the esterification of octanol with acetic acid, used as a flavor and odor agent.

Orange Odor

A characteristic smell associated with orange or citrus fruits, often due to the presence of compounds like limonene.

Acid Chloride

A class of organic compounds derived from carboxylic acids by replacing the hydroxyl group with a chlorine atom, used in organic synthesis.

Fischer Esterification

A chemical reaction that forms an ester upon the treating of an alcohol with a carboxylic acid in the presence of acid catalyst.