Suppose x has a distribution with a mean of 70 and a standard deviation of 20. Random samples of size  n = 64  are drawn.   (a) Describe the x distribution  and compute the mean and standard deviation of the distribution.           distribution with mean ?x =          and standard deviation ?x =  . (b) Find the z value corresponding to  x = 72.5. z =

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Suppose x has a distribution with a mean of 70 and a standard deviation of 20. Random samples of size 

n = 64

 are drawn.

 
(a) Describe the x distribution
 and compute the mean and standard deviation of the distribution.
 
        distribution with mean ?x =          and standard deviation ?x =  .

(b) Find the z value corresponding to 
x = 72.5.

z = 


(c) Find 
P(x < 72.5).
 (Round your answer to four decimal places.)
P(x < 72.5) = 
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