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In: Statistics and Probability

The blood cholesterol levels for U.S. adults are normally distributed, with μ = 202 and σ...

The blood cholesterol levels for U.S. adults are normally distributed, with μ = 202 and σ = 41 (units in milligrams per deciliter). A random sample of 60 U.S. adults are chosen and their cholesterol levels are measured. Find P(x⎯⎯⎯ > 210) for n = 60. Enter your answer as an area under the curve with 4 decimal places. P(x⎯⎯⎯ > 210) =

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Expert Solution

Solution :

Given that,

mean = = 202

standard deviation = = 41

n=60

= =202

= / n = 41 / 60 = 5.29

P( > 210) = 1 - P( <210 )

= 1 - P[( - ) / < (210-202) / 5.29]

= 1 - P(z < 1.51)

Using z table

= 1 - 0.9345

probability= 0.0655

orchestra answered 2 years ago
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