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Sampling data - Intermediate & Higher tier - WJECRandom testing hypotheses

Sampling helps estimate the characteristics of a large population through the use of a smaller representative group. This can be useful in market research, medical testing, and product development.

Part of Maths Numeracy (WJEC)Statistics

Random testing hypotheses

sampling is where each member of a population is equally likely to be selected. Possible methods include using a random number generator from a computer programme, rolling a number of dice or using the random number button on a scientific calculator.

A hand picking names out of a hat
Figure caption,
Pulling names from a hat is a simple way of selecting a random sample.

Example

Jimmy has the following list of random numbers:

3 6 9 0 1 3 7 4 3 2 2 9 1 3 8 5 4 1 2 7

He wants to use them to choose four people from a list of 60. First he groups the numbers into pairs:

36 90 13 74 32 29 13 85 41 27

He then removes numbers greater than 60, any repeat numbers, and 00.

36 13 32 29 41 27

Finally, he selects the 36th, 13th, 32nd and 29th people on the list.

Question

Michael wants to select a sample of ten people from a list of 70. Using the random number function on a calculator he gets the following numbers:

A random sample of numbers

Which numbers should he use to form his sample?