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Estimating BMI The body mass index (BMI) of all American young

women is believed to follow a Normal distribution with a standard deviation of about 7.5. How large a sample would be needed to estimate the mean BMI μ in this population to within ±1 with 99% confidence?

Short Answer

Expert verified

Sample size is373.

Step by step solution

01

Given Information

It is given that (σ)=7.5

Confidence level =99%

E=1

02

Concept Used

Formula to be used is
n=za2×σE2

Corresponding to99%confidence interval,Za2=2.575

03

Calculation

Hence, n=za2×σmm2

=2.575×7.512

372.97

≈373

Sample size is373

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