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Question 14.2: Television Show Interviews Using the population of 50 states......

Television Show Interviews

Using the population of 50 states in Example 14–1, select a systematic sample of 10 states.

Step-by-Step
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Step 1 Number the population units as shown in Example 14-1.

Step 2 Since there are 50 states and 10 are to be selected, the rule is to select every fifth state. This rule was determined by dividing 50 by 10 , which yields 5 .

Step 3 Using the table of random numbers, select the first digit (from 1 to 5 ) at random. In this case, 4 was selected.

Step 4 Select every fifth number on the list, starting with 4 . The numbers include the following:

The selected states are as follows:

\begin{array}{llll} 4& \text{Arkansas }&29 &\text{New Hampshire}\\ 9 &\text{Florida }&34 &\text{North Dakota}\\ 14 &\text{Indiana }&39& \text{Rhode Island}\\ 19 &\text{Maine }&44 &\text{Utah}\\ 24& \text{Mississippi }&49 &\text{Wisconsin}\\ \end{array}

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