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A. Dividing by population by voting precinct, and sampling everyone in the precints selected B. Dividing the population by Gender, and choosing 30 people of each gender C. writing everyones name on a playing card, shuffling the deck, then choosing the top 20 cards D. surveying every 3rd driver coming through a tollbeoth E. asking people on the street Sampling Methed a. Simple Random b. Convenience c. Cluster d. Systematic c. Stratified

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Final answer:

The described situations involve a variety of sampling methods. These include stratified sampling when groups are pre-determined, cluster sampling when entire groups or clusters are selected, systematic sampling when selections are made at regular intervals, convenience sampling when selections are easiest or most accessible, and simple random sampling when selections are made purely at random.

Step-by-step explanation:

The types of sampling methods and their application are crucial in statistical analysis to accurately represent a population. Here are the assignments of the various sampling strategies to the described situations:

  • a. The soccer coach is using a stratified sampling method because the players are divided into strata (age groups) before selecting.
  • b. Interviewing all human resource personnel in five different companies represents a cluster sampling method as the entire clusters are chosen.
  • c. The educational researcher is using a stratified sampling method by dividing the population into male and female teachers and then choosing from each group.
  • d. Selecting four random groups from twelve is another example of cluster sampling method.
  • e. Polling every tenth person represents a systematic sampling approach.
  • f. Sampling the first 50 people at a sporting event is a convenience sampling technique, which may lead to biased results.
  • g. Using a computer to generate random numbers for selecting a sample is simple random sampling.
  • h. The woman in the airport choosing specific travelers who are stationary is employing a convenience sampling method.
  • i. A teacher randomly selecting rows and then choosing all students from those rows is using a cluster sampling strategy.

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