students in the domitories of a university in the state of n

students in the domitories of a university in the state of new york live in clusters of four double rooms, called suits there are 48 suites, with eight per suite.

A.   Describe a cluster sampling procedure for obtaining a sample of 24 dormitory residents

B. students typically choose friends from their classes as suitmates. with tha in mind, do you think cluster sampling is a good procedure for obtaining a representative sample of dormitory residents? explain your anwer

Solution

A. Cluster sampling procedure for obtaining a sample of 24 dormitory residents:

Step 1 Divide the population into groups (clusters).

The planner used the 48 suites as the clusters, thus dividing the population into 48 groups.

Step 2 Obtain a simple random sample of the clusters.

The planner numbered the blocks (clusters) from 1 to 48 and then used a table of random numbers to obtain a simple random sample of (24/8) = 3 of the 48 blocks.

Step 3 Use all the members of the clusters obtained in Step 2 as the sample.

The sample consisted of the 24 dormitory residents comprising the 3 sampled blocks:

3 blocks × 8 per block = 24 dormitory residents.

B.

Stratified sampling with proportional allocation is more reliable than cluster sampling. Ideally, the members of each stratum should be homogenous relative to the characteristic under consideration.