Pearson Edexcel Level 3 GCE Further Mathematics Advanced
Subsidiary Further Mathematics options 23: Further Statistics 1
(Part of options B, E, F and G) 2025 VERIFIED QP AND MS
Please check the examination details below before entering your candidate information
surname names
Number Number
Afternoon
Paper
reference 8FM0/23
Further
Advanced Subsidiary
Further Mathematics options
23: Further Statistics 1
(Part of options B, E, F and G)
You must have:
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 pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre
Fill in the number
boxesand candidate
at the number.
top of this page with your name,
Answer all questions and ensure that your answers to parts of questions are clearly labelled.
••–You
A thsw
n eshould
reerm
thaeyshow
qbueem
stoisufficient
orn
essp
inacth
eethsworking
aa
pncyeosupnrto
e
oe
vidmake
d.ed your methods clear.
•Answers 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.
Information
•A booklet
The ‘Mathematical
total mark Formulae
for this part and Statisticalis Tables’
of the examination is provided.
40. There are 4 questions.
•Advice
T– huesemtahrikssafsoar geuaidceh aqsuteosthioonwam
reucs h otwim
n eintobrsapceknedtson each question.
••
Read each question carefully before you start to answer it.
Try to answer every question.
•
Check your answers if you have time at the end.
,P76372A
©2025 Pearson Education Ltd.
Y:1/1/1/
Turn over
, 1. A researcher is investigating the relationship between a person’s age and their preferred
method of shopping.
DO NOT WRITE IN THIS AREA
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
DO NOT WRITE IN THIS AREA
(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)
(O − E )
2
The value of E
for the other 7 cells is 5.060
(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.
DO NOT WRITE IN THIS AREA
(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
Subsidiary Further Mathematics options 23: Further Statistics 1
(Part of options B, E, F and G) 2025 VERIFIED QP AND MS
Please check the examination details below before entering your candidate information
surname names
Number Number
Afternoon
Paper
reference 8FM0/23
Further
Advanced Subsidiary
Further Mathematics options
23: Further Statistics 1
(Part of options B, E, F and G)
You must have:
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 pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre
Fill in the number
boxesand candidate
at the number.
top of this page with your name,
Answer all questions and ensure that your answers to parts of questions are clearly labelled.
••–You
A thsw
n eshould
reerm
thaeyshow
qbueem
stoisufficient
orn
essp
inacth
eethsworking
aa
pncyeosupnrto
e
oe
vidmake
d.ed your methods clear.
•Answers 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.
Information
•A booklet
The ‘Mathematical
total mark Formulae
for this part and Statisticalis Tables’
of the examination is provided.
40. There are 4 questions.
•Advice
T– huesemtahrikssafsoar geuaidceh aqsuteosthioonwam
reucs h otwim
n eintobrsapceknedtson each question.
••
Read each question carefully before you start to answer it.
Try to answer every question.
•
Check your answers if you have time at the end.
,P76372A
©2025 Pearson Education Ltd.
Y:1/1/1/
Turn over
, 1. A researcher is investigating the relationship between a person’s age and their preferred
method of shopping.
DO NOT WRITE IN THIS AREA
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
DO NOT WRITE IN THIS AREA
(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)
(O − E )
2
The value of E
for the other 7 cells is 5.060
(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.
DO NOT WRITE IN THIS AREA
(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
