Question

Regarding simple random sampling:

(a) What is simple random sampling?

(b) What is a simple random sample?

(c) Identify two forms of simple random sampling and explain the difference between the two.

Short answer

Part (a) A sampling procedure in which each possible sample of a given size has an equal chance of being selected.

Part (b) A sample obtained using simple random sampling.

Part (c) A sample can be obtained more than once in simple random sampling with replacement, but in simple random sampling without replacement, a sample can only be chosen once.

Step-by-step solution

Part (a) Step 1. Given information.

The given statement is:

What is simple random sampling?

Part (a) Step 2. Meaning of simple random sampling. 

Simple random sampling is a sampling procedure in which each possible sample of a given size has an equal chance of being selected.

Part (b) Step 1. Meaning of simple random sample.

A sample obtained using simple random sampling is known as a simple random sample.

Part (c) Step 1. Identify two forms of simple random sampling and explain the difference between them.

The two forms of simple random sampling are:

1. Simple random sampling with replacement
2. Simple random sampling without replacement

A member of the population can be selected more than once in simple random sampling with replacement.

In simple random sampling without replacement, on the other hand, a member of the population can only be chosen once.