Question 1: A test has a mean of 30 and a standard deviation of five.
Jackie has scored in the 57th percentile.
Ethan has a T score of 70.
Lan has obtained a z score of –0.2.
Salvatore has received a raw score of 27.
On the basis of the information provided, answer the following questions:
Who has scored the highest?
Who has scored the lowest?
Question 2: The following table displays fictitious data for a four-option multiple-choice question:
Options
Item
Groups
A
B
C
D
p-value
1.
Upper
Middle
Lower
1
0
1
1
18
15
24*
25*
4*
1
5
7
.52
2.
Upper
Middle
Lower
1
0
2
25*
42*
23*
0
3
1
1
3
1
.88
3.
Upper
Middle
Lower
19
32
16
7*
8*
8*
1
3
2
0
5
1
.23
The data was collected from a hundred individuals classified on the basis of class—upper, middle, or lower. This classification was done on the basis of the total scores using Kelly’s 27% rule. Correct options have been marked with an asterisk for each question.
On the basis of the data provided, answer the following question:
• Are there any faulty distractors? Why do you believe the distractors are working (or not working) properly?
Question 3: The following table displays fictitious data from a ten-item multiple-choice exam:
Item
Option A
Option B
Option C
Option D
Option E
p-value
1
667
187
37
30
10
.72
2
840
1
76
9
5
.90
3
561
233
46
88
4
.60
4
923
3
3
3
0
.99
5
876
0
12
24
20
.94
Each question has five options. The table provides the number of individuals choosing each option, the p-value, and the D-index. The correct answer for each question item is option A.
On the basis of the data provided, answer the following questions:
Which items should be removed or revised and why?
Which distractors, in which items, are working well, and why?
Sample Solution
