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1. The scores on a standardized test are normally distributed with a mean of 500 and a standard deviation of 100. 

Sofia scored 632 on the test.

What is the z score associated with Sofia's score?

&

What percent of students scored below Sofia?

 

 

2. Lengths of newborn girls are normally distributed with a mean of 49.2 cm and a standard deviation of 1.8 cm.

Find the z-score associated with newborn girls who are 50 cm long:

&

What percent of newborn girls will be 50 cm or longer?

 Aug 28, 2019
 #1
avatar+103148 
+1

1. The scores on a standardized test are normally distributed with a mean of 500 and a standard deviation of 100. 

Sofia scored 632 on the test.

What is the z score associated with Sofia's score?

&

What percent of students scored below Sofia?

 

[ 632 - 500 ]

___________  =  z score  =  1.32

   100

 

 

% of students scoring  below Sophia  =  .9066  =  90.66%

 

 

cool cool cool

 Aug 28, 2019
 #2
avatar+103148 
+1

2. Lengths of newborn girls are normally distributed with a mean of 49.2 cm and a standard deviation of 1.8 cm.

Find the z-score associated with newborn girls who are 50 cm long:

&

What percent of newborn girls will be 50 cm or longer?

 

[ 50 - 49.2]

__________  = z score  =  .44

    1.8

 

% of newborns 50 cm longer    =   [1 - .6700 ]  =  .33  ≈  33%  

 

 

cool cool cool

 Aug 28, 2019

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