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Date May Example question Marks available 2 Reference code EXM.1.AHL.TZ0.20
Level Additional Higher Level Paper Paper 1 Time zone Time zone 0
Command term Calculate Question number 20 Adapted from N/A

Question

As part of the selection process for an engineering course at a particular university, applicants are given an exam in mathematics. This year the university has produced a new exam and they want to test if it is a valid indicator of future performance, before giving it to applicants. They randomly select 8 students in their first year of the engineering course and give them the exam. They compare the exam scores with their results in the engineering course.

The results of the 8 students are shown in the table.

State the name of this test for validity.

[1]
a.

Calculate Pearson’s product moment correlation coefficient for this data.

[2]
b.

Hence determine, with a reason, if the new exam is a valid indicator of future performance.

[2]
c.

Markscheme

criterion-related          A1

[1 mark]

a.

r = 0.414          A2

[2 marks]

b.

Since the value of r  is low (closer to 0 than +1),         R1

The new exam is not a valid indicator of future performance.         A1

[2 marks]

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 4—Statistics and probability » AHL 4.12—Data collection, reliability and validity tests
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Topic 4—Statistics and probability

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