SOLUTION: 1. Based on data from the National Health Service, women between the ages of 18 and 24 have an average systolic blood pressure (in mm Hg) of 114.8 with a standard deviation of 13.1

Question 1075262: 1. Based on data from the National Health Service, women between the ages of 18 and 24 have an average systolic blood pressure (in mm Hg) of 114.8 with a standard deviation of 13.1. Systolic blood pressure for women between the ages of 18 to 24 follow a normal distribution.

If 40 women from this population are selected, find the probability that their mean systolic blood pressure is greater than 120.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Based on data from the National Health Service, women between the ages of 18 and 24 have an average systolic blood pressure (in mm Hg) of 114.8 with a standard deviation of 13.1. Systolic blood pressure for women between the ages of 18 to 24 follow a normal distribution.

If 40 women from this population are selected, find the probability that their mean systolic blood pressure is greater than 120.
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z(120) = (120-114.8)/[13.1/sqrt(40)] = 2.51
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Ans: P(x-bar > 120) = P(z > 2.51) = normalcdf(2.51,100) = 0.0060
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Cheers,
Stan H.
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