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A medical researcher wants to investigate the amount of time it takes for patients' headache pain...

A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 25 minutes. How large a sample should she take to estimate the mean time to within 4 minutes with 92% confidence?

Sample Size =

Homework Answers

Answer #1

Given ME = 4, = 25, = 0.08

The Zcritical at = 0.05 is 1.75

The ME is given by :

Squaring both sides we get: (ME)2 = (Z critical)2 * 2 / n

Therefore n = (Zcritical * / ME)2 = (1.75 * 25 / 4)2 = 119.62

Therefore n = 120 (Taking it to the next whole number)

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ME = Zcritical *

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