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Then the 27 listed insurance agents Nationwide Insurance in the metropolitan area of Toledo, Ohio. Calculate the average number of years that have worked in Nationwide.

See attached.

a) Select a random sample of four agents. If the Random numbers selected are: 02,59,51,25,14,29,77,69 and 18, then which dealers will be included in the sample?
b) Use the table of random numbers to select their own sample of four agents.
c) A sample consists of every seventh dealer. The number 04 is selected as a starting point. Which members will be included in the sample?

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I have answered the questions in your posting in the attached MS Word doc.

a) select a random sample of four agents. If the Random numbers selected are: 02,59,51,25,14,29,77,69 and 18, then which dealers will be included in the sample?

If the random numbers 02, 59, 51, 25, 14, 29, 77, 69 and 18 were selected then that means that Agents number 02, 59, 51, 25, 14, 29, 77, 69 and 18 should be included in your sample. Now a problem arises because in your sampling frame (the list of 26 agents that you provided) there are no agents corresponding to the numbers 59, 51, 29, 77 or 69. In this case we ignore those numbers and keep the 4 random numbers for which there ARE agents on the list. So this list of nine random two-digit numbers would yield the following four agents:
02: Denker, Brett
Skip the 59 and 51 since there are no agents in this table that ...

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The solution assists with calculating the average number of years that have worked in Nationwide.

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