A tax auditor has a pile of 191 tax returns of which he would ...

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A tax auditor has a pile of 191 tax returns of which he would like to select 17 for a special audit. Describe a method for selecting the sample which involves systematic random sampling.
 
  What will be an ideal response?

Question 2

A researcher wishes to assess the working conditions of farm workers at farms in his district. There are 37 farms in the district which are widely scattered geographically. The researcher wishes to interview at least 300 farm workers.
 
  Describe a method for selecting a sample which involves cluster sampling. Each farm employs approximately 50 workers.

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Answer to Question 1

Answers will vary. Possible answer: The tax auditor could number the returns 1 through 191. He could then use a random number table to select a number at random between 1 and 11. Starting with that number, he could list every 11th number until he has 17 numbers. He could then select the tax returns corresponding to the numbers listed.

Answer to Question 2

Answers will vary. Possible answer: Obtain a simple random sample of the farms as follows: Number the farms 1 to 37. Use a random number table to obtain a list of six random numbers between 1 and 37. Select the farms corresponding to those six numbers and interview all workers at each of the six farms.

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