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June 2025 Edexcel: A Level Statistics 9STO/02 Paper 2 – Statistical Inference – Merged Question Paper & Mark Scheme

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June 2025 Edexcel: A Level Statistics 9STO/02 Paper 2 – Statistical Inference – Merged Question Paper & Mark Scheme Answer ALL questions. Write your answers in the spaces provided. 1 Since 2006 the RAC, a roadside assistance organisation, have used the RAC Pothole 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 For the years 2014 to 2021, the Pothole Index for each quarter was recorded, the summary statistics are shown below. (1) 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 2 (8) ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Question 1 continued ■■■■ (Total for Question 1 is 9 marks) 3 Turn over DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 2 In the game of tennis, players score points in a number of ways. An ace is a tennis stroke in which a player beginning the point strikes the ball so that their opponent is unable to make contact with the ball. This wins the point for the player beginning the point. Daniil, a TV commentator, believes that the number of aces has begun to decrease over recent years. He collected data from a website for the total number of aces for each of the top 10 male professionals for the 2018 and 2023 French Open tournaments. This is shown in Figure 1 2018 Number of Aces 2023 Number of Aces 12 10 14 19 27 20 37 27 40 32 44 36 47 42 55 43 57 45 76 50 Figure 1 [Source: Infosys Slam Leaderboard – Roland-Garros – The 2018/23 Roland-Garros Tournament official site ()] (a) Conduct a suitable distribution free test to investigate Daniil’s belief. 4 (9

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June 2025 Edexcel: A Level Statistics 9STO/02 Pape
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June 2025 Edexcel: A Level Statistics 9STO/02 Pape

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Subido en
25 de septiembre de 2025
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37
Escrito en
2025/2026
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June 2025 Edexcel: A Level Statistics
9STO/02 Paper 2 – Statistical Inference
– Merged Question Paper & Mark
Scheme




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Statistics
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PAPER 2: Statistical Inference



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P76382A
©2025 Pearson Education Ltd.
Y:1/1/1/1/1/1/1/1/1/1/

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




DO NOT WRITE IN THIS AREA
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)




DO NOT WRITE IN THIS AREA
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   6.5596 n  32
2




(b) Test to see whether, on average, this evidence would have supported the reporter’s
claim between 2014 and 2021
(8) DO NOT WRITE IN THIS AREA




2

■■■■

, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA




■■■■
Question 1 continued




(Total for Question 1 is 9 marks)




3
Turn over

, 2 In the game of tennis, players score points in a number of ways.

An ace is a tennis stroke in which a player beginning the point strikes the ball so that




DO NOT WRITE IN THIS AREA
their opponent is unable to make contact with the ball. This wins the point for the player
beginning the point.

Daniil, a TV commentator, believes that the number of aces has begun to decrease over
recent years.

He collected data from a website for the total number of aces for each of the top
10 male professionals for the 2018 and 2023 French Open tournaments.

This is shown in Figure 1

2018 Number of Aces 2023 Number of Aces

12 10

14 19

27 20




DO NOT WRITE IN THIS AREA
37 27

40 32

44 36

47 42

55 43

57 45

76 50


Figure 1 DO NOT WRITE IN THIS AREA
[Source: Infosys Slam Leaderboard – Roland-Garros – The 2018/23 Roland-Garros Tournament
official site (rolandgarros.com)]

(a) Conduct a suitable distribution free test to investigate Daniil’s belief.
(9)




4

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