Question

Show step by step please. Write neatly. Box the final answer please.

Determine whether they used stratified, systematic, cluster, convenience, or simple random sampling. a) Thirty-five math majors, 64 music majors and 35 history majors are randomly selected from 454 math majors, 309 music majors and 567 history majors at the state university. What sampling technique is used? Every fifth adult entering an airport is checked for extra security screening. What sampling technique is used? At a local technical school, five auto repair classes are randomly selected and all of the students from each class are interviewed. What sampling technique is used? A statistics student interviews everyone in his apartment building to determine who owns a cell phone. What sampling technique is used? Based on 12,500 responses 46,500 questionnaires sent to all its members, a major medical association estimated that the annual salary of its members was $111,000 per year. What sampling technique is used?

Answer 1

a)
Answer: Stratified
Explanation: Since the population is divided into a number of groups (strata) and the random sampling is done in each group to collect the samples, this is stratified sampling.

b)
Answer: Systematic
Explanation: Since the samples are taken from a fixed periodic interval with a random starting point, this is a Systematic sampling.

c)
Answer: Cluster
Explanation: Since the population is divided into a number of groups and each member in the groups is selected as a sample, this is a cluster sampling.

d)
Answer: Convenience
Explanation: Since the samples are selected based on convenience (easy to reach), this is a type of convenience sampling.

e)
Answer: Simple
Explanation: Since the responses are random from the total questionnaires sent, this is a type of simple random sampling.