This assignment provides a “real world” problem using Z scores and percentiles. It is modeled after An example close to

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This assignment provides a “real world” problem using Z scores
and percentiles. It is modeled after An example close to home on
pp. 47–48 of your text. It is very important that you go through
this example carefully before you begin this assignment (including
referring to Part II of Appendix 1 in the back of your text).
Before beginning this assignment, make sure you have
read Chapter 2.
Imagine that you are a teaching assistant for a
professor who would like you to convert raw test scores into Z
scores and then into letter grades. The professor gives you the
following information about the test:
a. The test has 20 items.
b. There are 26 students in the class.
c. The professor grades on a curve that employs the following
percentile cutoffs:
Grade
Percentiles
A
84–100
B
65–83
C
18–64
D
10–17
E
0–9
d. Scores on the test:
Student #
Score
1
13
2
11
3
15
4
13
5
16
6
13
7
9
8
12
9
10
10
19
11
13
12
8
13
14
14
16
15
13
16
6
17
13
18
9
19
12
20
12
21
11
22
14
23
15
24
12
25
17
26
14
In order to determine what grade each student should receive, you
must first convert each of the professor’s percentile cutoffs to
z-score cutoffs. First, find the value from Appendix 1, Part II,
that corresponds to the lowest percentile rank for the particular
grade. Then write the Z-score cutoff. The first is done for you as
an example. Create a table similar to the one below to organize and
report your answers.
Grade
Value from Appendix 1 Part II
Z-score cutoff
A
.3389
+.99
B
______________
______________
C
______________
______________
D
______________
______________
F
______________
______________