Quiz 07 Normal Curves 7.3 • Name:
1. For the following curves A, B, and C determine the mean µ and the standard deviation
σ:
Curve  Mean µ  standard deviation σ 
A   
B   
C   
2. Pohnpei Islands Central High School students had a mean µ of 10.9 and a standard deviation σ of 5.0 on the high school level questions on the mathematics entrance test March 2005. Assume the distribution is normal for these problems.
 __________ What is the probability a student scored below 5.9 on the mathematics entrance test?
 __________ An 18 is a mininum pass of the mathematics entrance test. What percent of PICS students scored above 18? Hint: This one will require use of Excel.
 __________ If 505 students took the mathematics entrance test at PICS, what number of students passed with a score above 18?
 The probability calculated in question 2a above is the probability a student scored randomly on the mathematics entrance test. What does it mean that these students scored no better than random?
Normal Statistics 
Calculate a z value from an x 
z 
^{=} 
=STANDARDIZE(x, µ, σ) 
Calculate an x value from a z 
x 
= σ z + µ 
=σ*z+µ 
Find a probability p from a z value 


=NORMSDIST(z) 