Pearson Edexcel Level 3 GCE Further Mathematics Advanced Subsidiary Further Mathematics options 23: Further Statistics 1
(Part of options B, E, F and G) QP MAY 2024
Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Friday 17 May 2024
Afternoon
Paper
reference 8FM0/23
Further Mathematics
🞍 🞍
Advanced Subsidiary
Further Mathematics options
23: Further Statistics 1
(Part of options B, E, F and G)
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), 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 pen.
•
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes at the top of this page with your name,
•
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly labelled.
• Answer the questions in the spaces provided
•
– there may be more space than you need.
You should show sufficient working to make 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 ‘Mathematical Formulae and Statistical Tables’ is provided.
•
The total mark for this part of the examination is 40. There are 4 questions.
The
– usemarks
this asfor each as
a guide question are shown
to how much time in
to brackets
spend on each question.
Advice
• 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.
Turn over
P75673A
©2024 Pearson Education Ltd.
F:1/1/1/
,1. Sharma believes that each computer game he sells appeals equally to all age ranges.
To investigate this, he takes a random sample of 100 people who play these games and
asks them which of the games A, B or C they prefer.
DO NOT WRITE IN THIS AREA
The results are summarised in the table below.
Computer game A B C
< 20 8 15 6
Age range 20 – 30 21 12 9
> 30 6 10 13
(a) Write down hypotheses for a suitable test to assess Sharma’s belief.
(1)
(b) For the test, calculate the expected frequency for
(i) those players aged under 20 who prefer game C
DO NOT WRITE IN THIS AREA
(ii) those players aged between 20 and 30 who prefer game A
(2)
(c) State the degrees of freedom of the test statistic for this test.
(1)
Sharma correctly calculates the test statistic for this test to be 11.542 (to 3 decimal places).
(d) Using a 5% significance level, and stating your critical value, comment on
Sharma’s belief.
(2)
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
Turn over
3
(Part of options B, E, F and G) QP MAY 2024
Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Friday 17 May 2024
Afternoon
Paper
reference 8FM0/23
Further Mathematics
🞍 🞍
Advanced Subsidiary
Further Mathematics options
23: Further Statistics 1
(Part of options B, E, F and G)
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), 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 pen.
•
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes at the top of this page with your name,
•
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly labelled.
• Answer the questions in the spaces provided
•
– there may be more space than you need.
You should show sufficient working to make 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 ‘Mathematical Formulae and Statistical Tables’ is provided.
•
The total mark for this part of the examination is 40. There are 4 questions.
The
– usemarks
this asfor each as
a guide question are shown
to how much time in
to brackets
spend on each question.
Advice
• 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.
Turn over
P75673A
©2024 Pearson Education Ltd.
F:1/1/1/
,1. Sharma believes that each computer game he sells appeals equally to all age ranges.
To investigate this, he takes a random sample of 100 people who play these games and
asks them which of the games A, B or C they prefer.
DO NOT WRITE IN THIS AREA
The results are summarised in the table below.
Computer game A B C
< 20 8 15 6
Age range 20 – 30 21 12 9
> 30 6 10 13
(a) Write down hypotheses for a suitable test to assess Sharma’s belief.
(1)
(b) For the test, calculate the expected frequency for
(i) those players aged under 20 who prefer game C
DO NOT WRITE IN THIS AREA
(ii) those players aged between 20 and 30 who prefer game A
(2)
(c) State the degrees of freedom of the test statistic for this test.
(1)
Sharma correctly calculates the test statistic for this test to be 11.542 (to 3 decimal places).
(d) Using a 5% significance level, and stating your critical value, comment on
Sharma’s belief.
(2)
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
Turn over
3
