EDF 5400 Problem Set

EDF 5400 PROBLEM SET
STUDENT NAME/ID
[Pick the date]

Question 1
 For Fall 2017
Mean = 77
Standard deviation =5
 For Fall 2016
Mean = 59
Standard deviation =4
Distribution of scores in both the fall year =Normal distribution
a) Score of 61 on Fall 2016
z= 61−59
4 =0.5
Now, let the score on Fall 2017 is x
x−77
5 =0.5
x=79.5
b) Score of 80 on Fall 2017
z= 80−77
4 =0.75
Now, let the score on Fall 2016 is x
x−59
4 =0.75
x=62
1

Question 2
Normal distribution
Proportions are computed through the excel function NORMSDIST (z).
a) Proportion between z =-0.93 and z = 0.93
P (−0.93< z <0.93 )=0.8238−0.1761=0.6476
b) Proportion between z=0 and z =0.98
P ( 0< z <0.98 )=0.8364−0.5=0.3365
c) Proportion below z =1.80
2