Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Time 1 hour 30 minutes
Paper
reference WST03/01
Mathematics
International Advanced Subsidiary/Advanced Level
Statistics S3
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Yellow), 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,
••
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 the 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.
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
There are 6 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.
••
Try to answer every question.
Check your answers if you have time at the end.
If you change your mind about an answer, cross it out and put your new answer
and any working underneath.
Turn over
*P72405A0124*
P72405A
©2022 Pearson Education Ltd.
Q:1/1/1/1/
,1. The weights, x kg, of each of 10 watermelons selected at random from Priya’s shop were
recorded. The results are summarised as follows
∑ x = 114.2 ∑x 2
= 1310.464
(a) Calculate unbiased estimates of the mean and the variance of the weights of the
watermelons in Priya’s shop.
(3)
Priya researches the weight of watermelons, for the variety she has in her shop, and
discovers that the weights of these watermelons are normally distributed with a standard
deviation of 0.8 kg
(b) Calculate a 95% confidence interval for the mean weight of watermelons in Priya’s
shop. Give the limits of your confidence interval to 2 decimal places.
(4)
Priya claims that the confidence interval in part (b) suggests that nearly all of the
watermelons in her shop weigh more than 10.5 kg
(c) Use your answer to part (b) to estimate the smallest proportion of watermelons in
her shop that weigh less than 10.5 kg
(3)
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2
*P72405A0224*
, Question 1 continued
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3
*P72405A0324* Turn over
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Time 1 hour 30 minutes
Paper
reference WST03/01
Mathematics
International Advanced Subsidiary/Advanced Level
Statistics S3
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Yellow), 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,
••
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 the 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.
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
There are 6 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.
••
Try to answer every question.
Check your answers if you have time at the end.
If you change your mind about an answer, cross it out and put your new answer
and any working underneath.
Turn over
*P72405A0124*
P72405A
©2022 Pearson Education Ltd.
Q:1/1/1/1/
,1. The weights, x kg, of each of 10 watermelons selected at random from Priya’s shop were
recorded. The results are summarised as follows
∑ x = 114.2 ∑x 2
= 1310.464
(a) Calculate unbiased estimates of the mean and the variance of the weights of the
watermelons in Priya’s shop.
(3)
Priya researches the weight of watermelons, for the variety she has in her shop, and
discovers that the weights of these watermelons are normally distributed with a standard
deviation of 0.8 kg
(b) Calculate a 95% confidence interval for the mean weight of watermelons in Priya’s
shop. Give the limits of your confidence interval to 2 decimal places.
(4)
Priya claims that the confidence interval in part (b) suggests that nearly all of the
watermelons in her shop weigh more than 10.5 kg
(c) Use your answer to part (b) to estimate the smallest proportion of watermelons in
her shop that weigh less than 10.5 kg
(3)
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2
*P72405A0224*
, Question 1 continued
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3
*P72405A0324* Turn over
