Kelly throws a tetrahedral die n times and records the number on which it lands for each throw.
She calculates the expected frequency for each number to be 43 if the die was unbiased.
The table below shows three of the frequencies Kelly records but the fourth one is missing.
Number 1 2 3 4
...
kelly throws a tetrahedral die n times and records the number on which it lands for each throw she calculates the expected frequency for each number to be 43 if the die was unbiased the table be
Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel
Level 3 GCE
Time 1 hour 30 minutes
Paper
reference 9FM0/3B
Further Mathematics
Advanced
PAPER 3B: Further Statistics 1
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted 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.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• labelled.
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly
• Answer the questions in the spaces provided
•• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
• Values
Answers without working may not gain full credit.
from statistical tables should be quoted in full. If a calculator is used instead of
•Information
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.
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
are 7 questions in this question paper. The total mark for this paper is 75.
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
•• Check
Try to answer every question.
your answers if you have time at the end.
Good luck with your examination.
Turn over
,1. Kelly throws a tetrahedral die n times and records the number on which it lands for
each throw.
She calculates the expected frequency for each number to be 43 if the die was unbiased.
The table below shows three of the frequencies Kelly records but the fourth one is missing.
Number 1 2 3 4
Frequency 47 34 36 x
(a) Show that x = 55
(1)
Kelly wishes to test, at the 5% level of significance, whether or not there is evidence
that the tetrahedral die is unbiased.
(b) Explain why there are 3 degrees of freedom for this test.
(1)
(c) Stating your hypotheses clearly and the critical value used, carry out the test.
(5)
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