Pearson Edexcel GCE Advanced Subsidiary Level Further Mathematics
(8FM0) Paper 23 Further Statistics1 QP & MS JUNE 2024
, Number Number
Turn over
Afternoon
Further Mathematics
■ ■
Advanced Subsidiary
Further Mathematics options
23: Further Statistics 1
(Part of options B, E, F and G)
P 75673A
©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.
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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
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(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)
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2
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(8FM0) Paper 23 Further Statistics1 QP & MS JUNE 2024
, Number Number
Turn over
Afternoon
Further Mathematics
■ ■
Advanced Subsidiary
Further Mathematics options
23: Further Statistics 1
(Part of options B, E, F and G)
P 75673A
©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
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