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The true, unobserved population mean commute distance among all urban planners working in the Melbourne Metropolitan...

  1. The true, unobserved population mean commute distance among all urban planners working in the Melbourne Metropolitan Area (μ) is 22km, with σ=15. You conduct a survey of 144 planners and find that the sample means commute distance (X-bar) is 25km (12 points).

  1. Describe two possible sources of bias that could have produced this high estimate? (4 points)
  2. Is this sample mean impossible if no bias is introduced from your sampling process or survey questions? Why or why not? (4 points)
  3. Presuming that no bias is introduced by your sampling and survey, what is the probability that you will draw this sample? Show your work. (4 points)

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