AQA AS Paper 2 Specimen — Question 18 4 marks

Exam BoardAQA
ModuleAS Paper 2 (AS Paper 2)
SessionSpecimen
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicPermutations & Arrangements
TypeLinear programming and optimization
DifficultyEasy -1.8 This is a straightforward statistics question testing basic knowledge of simple random sampling methodology. It requires only recall of a standard procedure (numbering, random number generation, selection) with no calculations, problem-solving, or mathematical insight—significantly easier than typical A-level questions.
Spec2.01c Sampling techniques: simple random, opportunity, etc

Neesha wants to open an Indian restaurant in her town. Her cousin, Ranji, has an Indian restaurant in a neighbouring town. To help Neesha plan her menu, she wants to investigate the dishes chosen by a sample of Ranji's customers. Ranji has a list of the 750 customers who dined at his restaurant during the past month and the dish that each customer chose. Describe how Neesha could obtain a simple random sample of size 50 from Ranji's customers. [4 marks]

Question 18:
AnswerMarks Guidance
18Sets up enumerated population AO3.1b
number from 1 to 750.
Generate random integers
from the calculator.
Ignore repeats.
Continue until 50 different
numbers have been identified
and select the corresponding
customers.
Explains how enumerated population
will be used to obtain sample with
AnswerMarks Guidance
respect to random numbersAO2.4 E1
Explains how to deal with repeatsAO2.4 E1
Explains how to identify 50
AnswerMarks Guidance
customersAO2.4 E1
Total4
QMarking Instructions AO
Question 18:
18 | Sets up enumerated population | AO3.1b | B1 | Give each customer a unique
number from 1 to 750.
Generate random integers
from the calculator.
Ignore repeats.
Continue until 50 different
numbers have been identified
and select the corresponding
customers.
Explains how enumerated population
will be used to obtain sample with
respect to random numbers | AO2.4 | E1
Explains how to deal with repeats | AO2.4 | E1
Explains how to identify 50
customers | AO2.4 | E1
Total | 4
Q | Marking Instructions | AO | Marks | Typical Solution
Neesha wants to open an Indian restaurant in her town.

Her cousin, Ranji, has an Indian restaurant in a neighbouring town. To help Neesha plan her menu, she wants to investigate the dishes chosen by a sample of Ranji's customers.

Ranji has a list of the 750 customers who dined at his restaurant during the past month and the dish that each customer chose.

Describe how Neesha could obtain a simple random sample of size 50 from Ranji's customers.
[4 marks]

\hfill \mbox{\textit{AQA AS Paper 2  Q18 [4]}}