SOLUTION: A normal population has a mean of 15.0 and a standard deviation of 3.0. a. Compute the z value associated with 13.0. b. What proportion of the population is less than 13.0?

Algebra ->  Probability-and-statistics -> SOLUTION: A normal population has a mean of 15.0 and a standard deviation of 3.0. a. Compute the z value associated with 13.0. b. What proportion of the population is less than 13.0?       Log On


   



Question 193658: A normal population has a mean of 15.0 and a standard deviation of 3.0.

a. Compute the z value associated with 13.0.
b. What proportion of the population is less than 13.0?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A normal population has a mean of 15.0 and a standard deviation of 3.0.
a. Compute the z value associated with 13.0.
z(13) = (13-15)/3 = -2/3
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b. What proportion of the population is less than 13.0?
P(x < 13) = P (z < -2/3) = 0.2525...
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Cheers,
Stan H.