Pearson Edexcel A Level (GCE) Statistics Statistical Inference Paper 2

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Pearson Edexcel Level 3 GCE
Tuesday 10 June 2025
Afternoon (Time: 2 hours) Paper
reference 9ST0/02
Statistics
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Advanced
PAPER 2: Statistical Inference

You must have: Total Marks
Statistical formulae and tables booklet
Calculator


Candidates may use any calculator allowed by Pearson regulations. Calculators
must not have retrievable mathematical formulae stored in them.
Instructions
•• Use black ink or ball-point pen.

• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,

• clearly
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are

• Answer
labelled.
the questions in the spaces provided

• You
– there may be more space than you need.
should show sufficient working to make your methods clear.

• Unless
Answers without working may not gain full credit.
otherwise stated, inexact answers should be given to three

• Unless
significant figures.
otherwise stated, statistical tests should be carried out at the
5% significance level.
Information
•• AThere
booklet ‘Statistical formulae and tables’ is provided.

• – use this asfora guide
are 6 questions in this question paper. The total mark for this paper is 80.
The marks each question are shown in brackets
as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.

•• Check
Try to answer every question.
your answers if you have time at the end.
If you change your mind about an answer, cross it out and put your new answer and
any working underneath.
Turn over


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, Answer ALL questions. Write your answers in the spaces provided.
1 Since 2006 the RAC, a roadside assistance organisation, have used the RAC Pothole




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Index to monitor the state of UK roads.
The Index is a measure of how often, on average, an RAC member requests roadside
assistance for a breakdown where damage from a pothole or other road surface defect
was most likely the cause of the breakdown.
An Index of 1.2 would mean the likelihood of pothole damage had increased by 20%
compared to 2006
A reporter sees that the most recently reported figure was 2.0 and wishes to write an
article about the likelihood of pothole damage, which she claims is now twice as great
as in 2006
[Source: How to report a pothole and claim for damage online | RAC Drive]

(a) Explain why the reporter is correct in her interpretation of the value of 2.0
(1)
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For the years 2014 to 2021, the Pothole Index for each quarter was recorded, the
summary statistics are shown below.

 x  70.05 
x
x

2
6.5596 n  32

(b) Test to see whether, on average, this evidence would have supported the reporter’s
claim between 2014 and 2021
(8)
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2
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, Question 1 continued
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(Total for Question 1 is 9 marks)




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