Pearson Edexcel Level 3 GCE. Statistics Advanced PAPER 3: Statistics in Practice

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Centre Number Candidate Number




Pearson Edexcel Level 3 GCE
Wednesday 19 June 2024
Morning (Time: 2 hours) Paper
reference 9ST0/03
Statistics
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Advanced
PAPER 3: Statistics in Practice

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,

• 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.

•• Unless
Answers without working may not gain full credit.
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.

• – 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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2

, Answer ALL questions. Write your answers in the spaces provided.
1 The stem and leaf diagram below shows the results of a test sat by 15 students.
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4 5
5 1 8 8
6 1 3 7
7 1 1 3 5 5 9
8 3
9 1


Key
4 5 represents 45

A lower outlier is defined as a value < LQ – 1.5 IQR.
An upper outlier is defined as a value > UQ + 1.5 IQR.
Show that there are no outliers for the given data set.
(6)
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(Total for Question 1 is 6 marks)




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, 2 Cats that have diabetes are treated with insulin. It is believed that insulin might cause a
growth disease in cats.




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Cats, that are being treated with insulin, routinely have their level of IGF‑I, a growth
hormone, measured to see if the insulin is causing any side effects.
A random sample of 23 cats with diabetes was obtained and these cats were put into
three categories
• short‑term, those who have received insulin for 31 days or less
• medium‑term, those who have received insulin for 32 days to 14 months
• long‑term, those who have received insulin for more than 14 months
Routine measurements of the levels of IGF‑I (nanomoles per litre) in these cats are
given in Figure 1

IGF‑I measurements
Short‑term Medium‑term Long‑term
51 74 189
49 52 163
30 49 158
28 48 144
26 45 142
25 40 109
24 38 88
23 88
[Source: https://journals.sagepub.com/doi/pdf/10.1016/j.jfms.2004.01.002]

Figure 1

The data produced the following summary statistic


∑x = 182 569
2
i



Viraj decides to carry out one‑factor ANOVA to investigate whether there is any
difference between the mean IGF‑I measurement for the different lengths of time the
cats received insulin.
(a) Complete Viraj’s hypothesis test.
You should make any necessary assumptions.
(10)
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