Assumed that the body mass index(BMI) of all American young women follows a Normal distribution with standard deviation σ =7.5 How large a sample would be needed to estimate the mean BMI µ in this population to be within ±1 with 95% confidence?
Margin of Error = MOE = ±1
Let n be the sample size.
Standard deviation σ =7.5
Confidence level = 95%
Corresponding z score = 1.96 = z
We know that,
z table -
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