In Exercises 14 and16 identify the sampling technique used t

In Exercises 14, and16, identify the sampling technique used to obtain a sample. Explain your answer.

14.       Every 10th iPod coming off an assembly line is checked for defects.

16.       A door prize is given away at a home improvement seminar. Tickets are placed in a bin, and the tickets are mixed up. Then a ticket is selected by a blindfolded person.

Solution

14.

The Systematic Sampling which is a method of choosing a random sample from among a larger population. which involves first selecting a fixed starting point in the larger population and then obtaining subsequent observations by using a constant interval between samples taken.

In the question, the sample within the population are selected by observing every 10th iPod from the assembly line.

16.

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. A simple random sample is an unbiased representation of a group.

In the question, a simple random sample is a ticket or a group of tickets chosen out from the bin. In this case, the population is all the tickets in the bin and the sample is random because each ticket has an equal chance of being chosen.