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June 2025 Edexcel: A Level Statistics Paper 9STO/03 – Statistics in Practice – Merged Question Paper & Mark Scheme

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June 2025 Edexcel: A Level Statistics Paper 9STO/03 – Statistics in Practice – Merged Question Paper & Mark Scheme DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA BLANK PAGE 2 ■ ■ ■ ■ Answer ALL questions. Write your answers in the spaces provided. 1 A study in 2021 investigated the number of hail days in a large European area covering Germany, France, Belgium and Luxembourg. A hail day was defined as one in which a radar detected the conditions necessary for hail to occur anywhere within this area. Over the past 20 years, the mean number of hail days in a year in this area was 86 [Source : (a) Find the probability that (i) in a randomly chosen year there would be at least 90 hail days, (ii) in a randomly chosen two‑year period, there are no more than 160 hail days. (b) State two assumptions needed, in the context of this question, to calculate the probabilities in (a) and in each case give a reason why that assumption may not be appropriate. (2) (2) (4) (Total for Question 1 is 8 marks) ■■■■ 3 Turn over DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 2 A small company based in the tourism industry is trying to decide where best to spend its advertising budget in order to attract more visitors. It is comparing the visitor numbers to mainland UK from France and from Ireland in different periods of time. Figure 1 shows the number of visitors from France and from Ireland for a randomly selected series of yearly quarters. Visitor numbers have been rounded to the nearest 1000 Quarter 2019 Q2 2019 Q3 2021 Q1 2021 Q3 2022 Q1 2022 Q3 2022 Q4 Country France Ireland Figure 1 [Source : In some quarters, the number of visitors from France exceeds that from Ireland, whilst in others the reverse is true. The data is also clearly impacted by changes in travel patterns following the pandemic. You should assume that the difference between the numbers of visitors from France and Ireland is not symmetrically distributed. (a) Carry out a suitable hypothesis test to determine whether there is a difference between the average number of visitors to mainland UK from the two countries. (6) 4 ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Question 2 continued (b) Explain the purpose of pairing the data in this way rather than simply examining the total number of visitors for a randomly selected period of time. An employee of the company suggests increasing the sample size by using visitor data from earlier than 2019 (c) Explain briefly why using earlier data may not help the company make its decision about where to spend its advertising budget. (2) (2) (Total for Question 2 is 10 marks) ■■■■ 5 Turn over DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 3 Eric is investigating which popular marathons are the quickest for an average runner to race in. As part of his initial investigation, he comes across data about 150 random male finishers in the London Marathon 2022, shown in Figure 2 Time (minutes) Number of runners Less than 180 12 180 to 210 22 210 to 240 35 240 to 270 24 270 to 300 18 300 to 360 25 More than 360 14 Total 150 Figure 2 [Source : Using Figure 2 it is not possible to calculate the mean and standard deviation of the finishing times of these athletes. (a) Give two reasons why this is not possible. 6 (2) ■■■■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Question 3 continued Eric decides to investigate whether a normal distribution would be a suitable model for the data. Using the raw data, he calculates the mean time to be 265.87 minutes and the standard deviation to be 72.18 minutes. (b) Use the data in Figure 2 to conduct a χ 2 test to show that there is significant evidence to say that the normal distribution is not a suitable model for the tim

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Candidate surname Other names


Centre Number Candidate Number
June 2025 Edexcel: A Level Statistics
Paper 9STO/03 – Statistics in Practice
– Merged Question Paper & Mark
Scheme




Paper


Statistics
🟐 🟐


Advanced
PAPER 3 : Statistics in Practice


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,

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

• Answer
clearly 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.
Answers without working may not gain full credit.
•• Unless otherwise stated, inexact answers should be given to three significant figures.
Unless otherwise stated, statistical tests should be carried out at the
5% significance level.
Information
•• AThere
booklet ‘Statistical formulae and tables’ is provided.
• The are 6for
marks questions in this question
each question are shownpaper. The total mark for this paper is 80.
in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.
•• Check answer
Try to
your
every question.
answers if youabout
haveantime at the cross
end. it out and put your new answer
If you change your mind answer,
and any working underneath. Turn over


P76383A
©2025 Pearson Education Ltd.
Y:1/1/1/1/1/

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




■■■■
BLANK PAGE




2

, Answer ALL questions. Write your answers in the spaces provided.

1 A study in 2021 investigated the number of hail days in a large European area covering
DO NOT WRITE IN THIS AREA




Germany, France, Belgium and Luxembourg.

A hail day was defined as one in which a radar detected the conditions necessary for
hail to occur anywhere within this area. Over the past 20 years, the mean number of
hail days in a year in this area was 86
[Source : www.doi.org/10.5194/nhess‑21‑683‑2021]

(a) Find the probability that

(i) in a randomly chosen year there would be at least 90 hail days,
(2)




(ii) in a randomly chosen two‑year period, there are no more than 160 hail days.
DO NOT WRITE IN THIS AREA




(2)




(b) State two assumptions needed, in the context of this question, to calculate the
probabilities in (a) and in each case give a reason why that assumption may not
be appropriate.
(4)
DO NOT WRITE IN THIS AREA




(Total for Question 1 is 8 marks)




3

■■■■ Turn over

, 2 A small company based in the tourism industry is trying to decide where best to spend
its advertising budget in order to attract more visitors.




DO NOT WRITE IN THIS AREA
It is comparing the visitor numbers to mainland UK from France and from Ireland in
different periods of time.

Figure 1 shows the number of visitors from France and from Ireland for a randomly
selected series of yearly quarters. Visitor numbers have been rounded to the
nearest 1000


Quarter

2019 Q2 2019 Q3 2021 Q1 2021 Q3 2022 Q1 2022 Q3 2022 Q4

France 929 000 898 000 13 000 148 000 462 000 697 000 842 000
Country
Ireland 718 000 716 000 24 000 247 000 417 000 640 000 731 000

Figure 1
[Source : www.ons.gov.uk/peoplepopulationandcommunity/leisureandtourism]




DO NOT WRITE IN THIS AREA
In some quarters, the number of visitors from France exceeds that from Ireland, whilst
in others the reverse is true. The data is also clearly impacted by changes in travel
patterns following the pandemic.

You should assume that the difference between the numbers of visitors from France and
Ireland is not symmetrically distributed.

(a) Carry out a suitable hypothesis test to determine whether there is a difference
between the average number of visitors to mainland UK from the two countries.
(6)




DO NOT WRITE IN THIS AREA




4

■■■■

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