Assume that the population distribution of BMI among adults over 18 is Normal with mean μ = 38 and standard deviation σ = 12 and suppose the you have an SRS of 4 adults

Assume that the population distribution of BMI among adults over 18 is Normal with mean μ = 38 and standard deviation σ = 12 and suppose the you have an SRS of 4 adults. What is the probability that your sample will have a mean BMI of 53 or greater? Use Table A: Standard Normal Table and round your answer to 4 decimal places.

Solutions

Expert Solution

Given that,

mean = μ = 38

standard deviation = = 12

n = 4

= μ = 38

= / n = 12 / 4 = 6

P( > 53) = 1 - P( < 53)

= 1 - P[( - ) / < (53 - 38) / 6]

= 1 - P(z < 2.5)

Using z table,

= 1 - 0.9938

= 0.0062

orchestra answered 2 years ago

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