SOLUTION: Suppose we have a set of blood pressures with a mean of 110 Systolic, and a sample standard deviation of 15 points. If we assume a normal distribution of Systolic blood pressures,

Question 477535: Suppose we have a set of blood pressures with a mean of 110 Systolic, and a sample standard deviation of 15 points. If we assume a normal distribution of Systolic blood pressures, then between what two values can we be assured 99.7% of all Systolic blood pressures will lie?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose we have a set of blood pressures with a mean of 110 Systolic, and a sample standard deviation of 15 points. If we assume a normal distribution of Systolic blood pressures, then between what two values can we be assured 99.7% of all Systolic blood pressures will lie?
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Sketch 99.7% in a normal curve centered at 110.
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The tails are 0.3%
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Find the z-value with a right tail of (1/2)0.3% = 0.015
-InvNorm(0.015) = -(-2.17) - 2.17
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Lower Limit: x = -2.17*15+110 = 77.45
Upper limit: x = 2.17*15+110 = 142.55
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Cheers,
Stan H.

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