Pearson Edexcel Level 3 GCE
Pearson Edexcel Level 3 GCE
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
• 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
centre number and candidate number.
• Answer all questions and ensure that your answers to parts of
your name,
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 the statistical tables should be quoted in full. If a calculator is
used instead of the 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
•
n A booklet ‘Mathematical Formulae and Statistical Tables’ is
• The total mark for this part of the examination is 40. There are 4 questions.
provided.
• – use this as aforguide
The marks each question are shown in
as to how much time to spend on each question.
Advice
• brackets
Read each question carefully before you start to answer it.
• Try to answer every
• Check your answers if you have time at the end.
• Good luck with your
question. Turn over
examination.
P66791R
A
1
,1. Flobee sells tomato seeds in packets, each containing 40 seeds. Flobee advertises that
only 4% of its tomato seeds do not germinate.
Amodita is investigating the germination of Flobee’s tomato seeds. She plants 125 packets
of Flobee’s tomato seeds and records the number of seeds that do not germinate in
each packet.
Number of seeds that do not germinate 0 1 2 3 4 5 6 or more
Frequency 15 35 38 22 10 5 0
Amodita wants to test whether the binomial distribution B(40, 0.04) is a suitable model
for these data.
The table below shows the expected frequencies, to 2 decimal places, using this model.
Number of seeds that do not germinate 0 1 2 3 4 5 or more
Expected Frequency 24.42 40.70 r 17.45 6.73 s
(a) Calculate the value of r and the value of s
(2)
(b) Stating your hypotheses clearly, carry out the test at the 5% level of significance.
You should state the number of degrees of freedom, critical value and conclusion clearly.
(6)
Amodita believes that Flobee should use a more realistic value for the percentage of
their tomato seeds that do not germinate.
She decides to test the data using a new model B(40, p)
(c) Showing your working, suggest a more realistic value for p
(2)
2
, Question 1 continued
3
Turn over
Pearson Edexcel Level 3 GCE
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
• 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
centre number and candidate number.
• Answer all questions and ensure that your answers to parts of
your name,
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 the statistical tables should be quoted in full. If a calculator is
used instead of the 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
•
n A booklet ‘Mathematical Formulae and Statistical Tables’ is
• The total mark for this part of the examination is 40. There are 4 questions.
provided.
• – use this as aforguide
The marks each question are shown in
as to how much time to spend on each question.
Advice
• brackets
Read each question carefully before you start to answer it.
• Try to answer every
• Check your answers if you have time at the end.
• Good luck with your
question. Turn over
examination.
P66791R
A
1
,1. Flobee sells tomato seeds in packets, each containing 40 seeds. Flobee advertises that
only 4% of its tomato seeds do not germinate.
Amodita is investigating the germination of Flobee’s tomato seeds. She plants 125 packets
of Flobee’s tomato seeds and records the number of seeds that do not germinate in
each packet.
Number of seeds that do not germinate 0 1 2 3 4 5 6 or more
Frequency 15 35 38 22 10 5 0
Amodita wants to test whether the binomial distribution B(40, 0.04) is a suitable model
for these data.
The table below shows the expected frequencies, to 2 decimal places, using this model.
Number of seeds that do not germinate 0 1 2 3 4 5 or more
Expected Frequency 24.42 40.70 r 17.45 6.73 s
(a) Calculate the value of r and the value of s
(2)
(b) Stating your hypotheses clearly, carry out the test at the 5% level of significance.
You should state the number of degrees of freedom, critical value and conclusion clearly.
(6)
Amodita believes that Flobee should use a more realistic value for the percentage of
their tomato seeds that do not germinate.
She decides to test the data using a new model B(40, p)
(c) Showing your working, suggest a more realistic value for p
(2)
2
, Question 1 continued
3
Turn over
