SOLUTION: Suppose we have a set of blood pressures with a mean of 70 Diastolic, and a sample standard deviation of 10 points. Assuming a normal distribution of Diastolic blood pressures, be

Question 664335: Suppose we have a set of blood pressures with a mean of 70 Diastolic, and a sample standard deviation of 10 points. Assuming a normal distribution of Diastolic blood pressures, between what two values should 95% of all Diastolic blood pressures 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 70 Diastolic, and a sample standard deviation of 10 points. Assuming a normal distribution of Diastolic blood pressures, between what two values should 95% of all Diastolic blood pressures lie?
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Find the z-value with a left tail of 0.025
invNorm(0.025) = -1.96
Note: Correspondingly z = 1.96 has a right tail of 0.025
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Find the corresponding blood prssure values using x = z*s + u
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lower value: x = -1.96*10 + 70 = 50.4
upper value: x = +1.96*10 + 70 = 89.6
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Cheers,
Stan H.

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