Question
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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