Initial Diagnostic Audit - Unit E1: Data Collection

You may use a calculator for these questions
Section E1.2 - Sampling
1. In an experiment, a shampoo manufacturing company wants to test the strength of hair.
The available volunteers have the following distribution of hair colour.

Natural Hair ColourNumber
Blond  
  6
Fair    
10
Auburn
  3
Brown  
27
Grey    
  5
Black  
  9

The company wish to test a stratified sample of size 20.

(a) How many of the volunteers with brown hair should be tested?

(b) How many of the volunteers with grey hair should be tested?

2. Sam was making a survey of pupils in his school. He wanted to find out their opinions on noise pollution by motor bikes. The size of each year group is shown below.

Year Group
Boys
Girls
Total
8
85
65
150
9
72
75
147
10
74
78
152
11
77
72
149
6th Form
93
107
200
798

Sam took a sample of 80 pupils.

(a) Should Sam sample equal numbers of boys and girls in Year 8?

(b) How many pupils should he sample from the 6th Form?

(c) How many pupils should he sample from Year 10?

Marking your audit and producing your report

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Produced by Russell Geach for CIMT - January 2013