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[answered] A normal population has a mean of 19 and a standard deviati


A normal population has a mean of 19 and a standard deviation of 4.

??

a. Compute the?z?value associated with 23.?(Round your answer to 2 decimal places.)

??

??Z ??

???

b.

What proportion of the population is between 19 and 23??(Round ?z-score computation to 2 decimal places and your final answer to 4 decimal places.)

??

??Proportion ??

????

c.

What proportion of the population is less than 17??(Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)

??

??Proportion ??

?


A Normal Distribution

 

? = 19

 

?=4

 

for x = 23, Standardized value of z-score is given by:

 

z=

 

z= x??

 

? 23 ? (19)

 

= 1.00

 

4 for x = 23, z = 1

 

This is 1 standard deviations above the mean.

 

99.7%...

 


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