SOLUTION: Assume that blood pressure readings are normally distributed with a mean of 120 and a standard deviation of 8. If 100 people are randomly selected, find the probability that their

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Question 851231: Assume that blood pressure readings are normally distributed with a mean of 120 and a standard deviation of 8. If 100 people are randomly selected, find the probability that their mean blood pressure will be greater than 122.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

m = 120, SD = 8

Since this is a continuous function, we have P(x > 122) = P(x ≥  122).

using TI

P(x ≥  122) = normalcdf(smaller, larger, µ, σ) = normalcdf(122, 9999, 120, 8)

Note: The 9999 is used as the larger value to be least 5 standard deviations from the mean.



Or using z value

z = 2/8 = .25   NORMSDIST(0.25) = .5987

P(x ≥  122) = 1 - .5987