A researcher wants to compare the average ages at which men and women first get their driver's licence. 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 the researcher wants 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.) Justify your conclusion.

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The Answer of A researcher wants to compare the average ages at which men and women first get their driver's licence. 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 the researcher wants 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.) Justify your conclusion.

A Researcher Wants to Compare the Average Ages at Which