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?

jesshobbs Aug 28, 2019

#1**+2 **

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%

CPhill Aug 28, 2019

#2**+2 **

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%

CPhill Aug 28, 2019