Pearson Edexcel surname
GCE Advanced Subsidiary Level Further Mathematics
names
(8FM0) Paper 23 Further Statistics 1
Number Number
Afternoon
Further Mathematics
■ ■
Advanced Subsidiary
Further Mathematics options
23: Further Statistics 1
(Part of options B, E, F and G)
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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Answer all questions and ensure that your answers to parts of questions are clearly labelled.
Answer the questions
– there may in thethan
be more space spaces
youprovided
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.
• The total mark for this part of the examination is 40. There are 4 questions.
– use this as a guide as to how much time to spend on each question.
Turn over
Advice
Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
,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.
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
(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)
, Question 1 continued
GCE Advanced Subsidiary Level Further Mathematics
names
(8FM0) Paper 23 Further Statistics 1
Number Number
Afternoon
Further Mathematics
■ ■
Advanced Subsidiary
Further Mathematics options
23: Further Statistics 1
(Part of options B, E, F and G)
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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Answer all questions and ensure that your answers to parts of questions are clearly labelled.
Answer the questions
– there may in thethan
be more space spaces
youprovided
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.
• The total mark for this part of the examination is 40. There are 4 questions.
– use this as a guide as to how much time to spend on each question.
Turn over
Advice
Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
,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.
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
(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)
, Question 1 continued
