Question

An Internet service provider (ISP) conducts an anonymous survey of its subscribers and 2500 of them...

An Internet service provider (ISP) conducts an anonymous survey of its subscribers and 2500 of them respond by reporting the values of the cars that they currently own. Given that the sample size is so large, think about the following:

  1. Are the results likely to result in a mean that is fairly close to the mean value of all cars owned by Americans?
  2. Why or Why not?
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Answer #1

No, the results does not likely to result in a mean that is fairly close to the mean value of all cars owned by Americans because the undercoverage (selection) bias in the survey.  The survey relied on a convenience sample, drawn from subscriber lists of Internet service provider. Undercoverage occurs because lot of Americans were not represented in the sample who are not subscribers of the ISP. It may happen that the subscribers of that ISP are based on some particular locations and the number of cars may be affected by the location.

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