+78 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?
+129907 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%
+129907 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%
