STAT 1124
Assignment 3
Model Answers
Question 3.4, Page 69
a. Mean is C, Median is B
b. Mean is B, Median is B
c. Mean is A, Median is B
Question 3.30, Page 86
Draw a picture before you attempt to solve the problem
a. 0.0122
b. 10.0122 = 0.9878
c. 10.9616 = 0.0384
d. 0.96160.0122 = 0.9494
Question 3.32, Page 86
Draw a picture before you attempt to solve the problem
Tonya's score standardizes to z = (13181026)/209 = 1.40
Jermaine's score standardizes to z = (2720.9)/4.8 = 1.27
Tonya's score is higher
Question 3.34, Page 87
Draw a picture before you attempt to solve the problem
Jose's score standardizes to z = (12871026)/209 = 1.249
The equivalent ACT score = 20.9+1.249*4.8 = 26.9 or 27, since ACT score is
reported in whole number
Question 3.36, Page 87
Draw a picture before you attempt to solve the problem
Tonya's score standardizes to z = (13181026)/209 = 1.40
From the table, we will find the proportion to be 0.9192 or 92%, i.e., 92 percentile.
Question 3.38, Page 87
Draw a picture before you attempt to solve the problem
A score pf 16000 standardizes to z = (16001026)/209 = 2.75
From the table, the proportion is 0.997. Therefore 10.997 or 0.003 or 0.3%
of the scores are above this level and therefore reported as 1600.
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 Summer '09
 michael
 Normal Distribution, Standard Deviation, Tonya

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