SOLUTION: The mean is 120, the standard deviation is 9.75, and N=1000. The population is normally distributed for a systolic blood pressure population parameters for a particular population.

Question 871666: The mean is 120, the standard deviation is 9.75, and N=1000. The population is normally distributed for a systolic blood pressure population parameters for a particular population. If one person is selected at random from the population, calculate the probablity of a blood pressure greater than 136. is the result considered unusual? If five people are selected at random, calculate the probability that their mean blood pressure is greater then 136 is this unusual?
Last, if five people are selected at random calculate that their mean blood pressure is between 130 and 136.

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
The mean is 120, the standard deviation is 9.75, and N=1000.
P(x > 136), z = 1.641
P(z > 1.641) = 5.04% Unusual (only 5% of people higher)
n = 5, s = 9.75/sqrt(5) = 2.236
P(x > 136), z = 16/2.236 = 7.1556 , P(z > 7.1556) is basically zero, UNUSUAL
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