A Researcher Wants to Compare the Average Ages at Which

question 172

Essay

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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Definitions:

Retching/Vomiting

The involuntary, forceful expulsion of stomach contents through the mouth.

Cyanosis

A bluish or purplish discoloration of the skin or mucous membranes due to the tissues near the skin surface having low oxygen saturation.

Nasoenteric Feeding Tube

A tube inserted through the nose into the stomach or small intestine to provide nutrition directly to patients who cannot eat by mouth.

Esophageal Tumor

An abnormal growth of cells in the esophagus, which can be benign or malignant (cancerous).