What is the standard deviation of the sample mean

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Human heights are known to be normally distributed. Men have a mean height of 70 inches and females a mean height of 64 inches. Both have a population standard deviation of 3 inches. 

  • Find the 1st Quartile (Q1) of the male height distribution
  • What is the probability that a randomly selected female is above 68 inches height?
  • Assume a random sample of 100 males is selected. What is the standard deviation of the sample mean? See pages 206-207 in your text.
  • For a sample size of 100 males, find the probability the sample mean is above 72 inches?

Reference no: EM132177428

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