Please check the examination details below before entering your
candidate information
Candidate surnameOther names
Centre Candidate
Number Number
Pearson Edexcel Level
3 GCE
Friday 16 May 2025
Pap
reference
er 8FM0/2 🟐 🟐
Further
Afternoon
Advanced Subsidiary 3
Further Mathematics
Mathematics
options 23: Further
Statistics 1
(Part of options B, E, F and G)
You must have: Total
Mathematical Formulae and Statistical Tables (Green), Marks
calculator
Candidates may use any calculator allowed by Pearson regulations.
Calculators must not have the facility for symbolic algebra
manipulation, differentiation and integration, or have retrievable
mathematical formulae stored in them.
Instructions
• Use black ink or ball-point
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill
pen.
in the boxes at the top of this page with your
centre number and candidate
• Answer
number.all questions and ensure that your answers to parts of questions are
• name,
Answer the questions
clearly labelled. – thereinmay
the be
spaces
more space than you need.
• You should show sufficient working to make your methods clear.
•
Answers
provided without working may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used
•
instead of tables the value should be given to an equivalent degree of
accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
Informatio E
• A booklet ‘Mathematical Formulae and Statistical Tables’ is
n
d
• The total mark for this part of the examination is 40. There are 4
u
c
a
• questions.
The marks –for
provided.
each
use thisquestion are as
as a guide shown in much time to spend
to how t
i
o
on each question. n
Advice
brackets
• Read each question carefully before you start to answer it.
L
t
d
• Try to answer every .
• Check your answers if you have time at the end. Y
:
question. 1
/
1
/
P76372A 1
/
©2025 Pearson
,Turn over
, 1. A researcher is investigating the relationship between a person’s age and their preferred
method of shopping.
AREA
DO NOT WRITE IN THIS
A random sample of 300 people is taken and the results are summarised in the
table below.
Preferred method of shopping
Online In-store Total
18 – 30 27 23 50
31 – 50 31 59 90
Age
51 – 64 17 43 60
65 and older 30 70 100
Total 105 195 300
AREA
DO NOT WRITE IN THIS
(a) Write down suitable hypotheses for a test to determine whether or not there is
evidence of an association between age and preferred method of shopping.
(1)
The researcher assumes that the null hypothesis is true and uses the data in the table to
find expected values.
(b) (i) Identify the cell which would have the smallest expected value.
(ii) Calculate the expected value for this cell.
(2)
The value of O E 2
for the other 7 cells is 5.060
E
(c) Test, at the 5% level of significance, whether or not there is evidence of an
association between age and preferred method of shopping.
You should state the test statistic, degrees of freedom, critical value and
conclusion clearly.
AREA
DO NOT WRITE IN THIS
(5)
(d) Explain whether or not your conclusion to part (c) would be the same if the test was
carried out at a 1% level of significance.
(2)
2
■■■
■
candidate information
Candidate surnameOther names
Centre Candidate
Number Number
Pearson Edexcel Level
3 GCE
Friday 16 May 2025
Pap
reference
er 8FM0/2 🟐 🟐
Further
Afternoon
Advanced Subsidiary 3
Further Mathematics
Mathematics
options 23: Further
Statistics 1
(Part of options B, E, F and G)
You must have: Total
Mathematical Formulae and Statistical Tables (Green), Marks
calculator
Candidates may use any calculator allowed by Pearson regulations.
Calculators must not have the facility for symbolic algebra
manipulation, differentiation and integration, or have retrievable
mathematical formulae stored in them.
Instructions
• Use black ink or ball-point
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill
pen.
in the boxes at the top of this page with your
centre number and candidate
• Answer
number.all questions and ensure that your answers to parts of questions are
• name,
Answer the questions
clearly labelled. – thereinmay
the be
spaces
more space than you need.
• You should show sufficient working to make your methods clear.
•
Answers
provided without working may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used
•
instead of tables the value should be given to an equivalent degree of
accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
Informatio E
• A booklet ‘Mathematical Formulae and Statistical Tables’ is
n
d
• The total mark for this part of the examination is 40. There are 4
u
c
a
• questions.
The marks –for
provided.
each
use thisquestion are as
as a guide shown in much time to spend
to how t
i
o
on each question. n
Advice
brackets
• Read each question carefully before you start to answer it.
L
t
d
• Try to answer every .
• Check your answers if you have time at the end. Y
:
question. 1
/
1
/
P76372A 1
/
©2025 Pearson
,Turn over
, 1. A researcher is investigating the relationship between a person’s age and their preferred
method of shopping.
AREA
DO NOT WRITE IN THIS
A random sample of 300 people is taken and the results are summarised in the
table below.
Preferred method of shopping
Online In-store Total
18 – 30 27 23 50
31 – 50 31 59 90
Age
51 – 64 17 43 60
65 and older 30 70 100
Total 105 195 300
AREA
DO NOT WRITE IN THIS
(a) Write down suitable hypotheses for a test to determine whether or not there is
evidence of an association between age and preferred method of shopping.
(1)
The researcher assumes that the null hypothesis is true and uses the data in the table to
find expected values.
(b) (i) Identify the cell which would have the smallest expected value.
(ii) Calculate the expected value for this cell.
(2)
The value of O E 2
for the other 7 cells is 5.060
E
(c) Test, at the 5% level of significance, whether or not there is evidence of an
association between age and preferred method of shopping.
You should state the test statistic, degrees of freedom, critical value and
conclusion clearly.
AREA
DO NOT WRITE IN THIS
(5)
(d) Explain whether or not your conclusion to part (c) would be the same if the test was
carried out at a 1% level of significance.
(2)
2
■■■
■
