Question

How many women must be randomly selected to estimate the mean weight of women in one...

How many women must be randomly selected to estimate the mean weight of women in one age group. We want 90% confidence that the sample mean is within 2.3lb of the population mean, and the population standard deviation is known to be 14 lb.

143

202

126

101

Homework Answers

Answer #1

Solution :

Given that,

standard deviation =   =14

Margin of error = E = 2.3

At 90% confidence level

= 1 - 90%  

= 1 - 0.90 =0.10

/2 = 0.05

Z/2 = Z 0.05 = 1.645

sample size = n = [Z/2 * / E] 2

n = ( 1.645 * 14 /2.3 )2

n 100.26

Sample size = n =101

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