Question

Sample surveys often use a systematic random sample to choose a sample of apartments in a large building or dwelling units in a block at the last stage of a μltistage sample. An example will illustrate the idea of a systematic sample.

a. True
b. False

Answer 1

A systematic random sample is a type of sampling method where every nth item in the population is selected to be part of the sample. This method ensures that each member of the population has an equal chance of being included in the sample.

Step-by-step explanation:

A systematic random sample is a type of sampling method where every nth item in the population is selected to be part of the sample. This method ensures that each member of the population has an equal chance of being included in the sample. To illustrate the idea of a systematic sample, let's say we want to select a systematic random sample of 15 restaurants. We would first list all the restaurants in the population and then randomly choose a starting point. Let's say we randomly choose the 3rd restaurant on the list. Next, we calculate the sampling interval by dividing the total number of restaurants in the population by the desired sample size, which in this case is 15. Let's say there are 100 restaurants in the population, so the sampling interval would be 100/15 ≈ 6. Starting with the 3rd restaurant, we would then select every 6th restaurant on the list until we have a sample size of 15.