[Steps Shown] For the total population of a large southern city, mean family income is $34,000, with a standard deviation (for the population) of $5,000.


Question: For the total population of a large southern city, mean family income is $34,000, with a standard deviation (for the population) of $5,000.

  1. Imagine that you take a sub sample of 200 city residents. What is the probability that your sample mean is between $33,000 and $34,000?
  2. For this same sample size, what is the probability that the sample mean exceeds $37,000?

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