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What is the probability distribution for the sample mean

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Reference no: EM131822018

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Suppose that we know that scores on a nationally administered statistics examination follow a uniform distribution with a population mean µ = 70 and population standard deviation σ = 20. A random sample of n = 64 is taken. Answer each of the following. 

  1. What is the probability distribution for the sample mean?
  2. What is the value of the standard deviation of the sample mean?
  3. What is the probability that the sample mean is below 71?
  4. What is the probability that the sample mean is above 72?

Reference no: EM131822018

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