South University Interpretation and Comparison of Students Performances Questions

Question Description

Interpret and compare the performances of students in a test of basic skills.

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 classupper, 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?

In a Microsoft Word document, create a 2- to 3-page report, answering the above questions.

Support your responses with examples.

Using APA format, appropriately cite your sources throughout the assignment and include references on a separate page.

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