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IB Maths AI SL 4.11 Hypothesis testing Question Bank

Practise IB Mathematics SL/HL 4.11 by applying hypothesis testing methods to exam-style questions.

Syllabus
First assessment 2021
Course
Mathematics: applications and interpretation SL
Level
SL

Exam points

  • identify the mathematical structure, variable or representation
  • select and apply the correct theorem, formula or algorithm
  • check the result using units, domain, graph or logical reasoning

SL 4.11—Hypothesis testing question 1

[Maximum number: 6]

Xavie conducted a study to see if there is a relationship between the price of an apartment, y, and its distance, x, from the city centre of Melbourne.
They took a random sample of six typical apartments along a train line in the city. Xavie obtained the data shown in the following table.

Table for Question SL 4.11—Hypothesis testing question 1 — IB Maths AI SL

A plot of these data is seen in the following graph.

Figure for Question SL 4.11—Hypothesis testing question 1 — IB Maths AI SL

Question (a)

(a)

Write down the alternative hypothesis.

[ 1 ]

Question (b)

(b)

Find the p-value for this test.

[ 2 ]

Question (c)

(c)

State the conclusion of the test. Justify your answer.

[ 2 ]

Question (d)

(d)

State one additional assumption Xavie has made about the distributions to conduct this test.

[ 1 ]
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