Systematic random sample Th e fi nal stage in a multistage

Chapter 5, Problem 5.67

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Systematic random sample Th e fi nal stage in a multistage sample must choose 5 of the 500 addresses in a neighborhood. You have a list of the 500 addresses in geographical order. To choose a systematic random sample, proceed as follows: Step 1. Choose 1 of the fi rst 100 addresses on the list at random. (Label them 00, 01, . . . , 99 and use a pair of digits from Table B to make the choice.) Step 2. Th e sample consists of the address from Step 1 and the addresses 100, 200, 300, and 400 positions down the list from it. If 71 is chosen at random in Step 1, for example, the systematic random sample consists of the addresses numbered 71, 171, 271, 371, and 471. (a) Use Table B to choose a systematic random sample of 5 from a list of 500 addresses. Enter the table at line 130. (b) What is the chance that any specifi c address will be chosen? Explain your answer. (c) Explain why this sample is not an SRS.