Statistics Solutions

[Steps Shown] The heights of 18 year old men are approximately normally distributed, with mean 68 and standard deviation 3 inches (based on information from

Question: The heights of 18 year old men are approximately normally distributed, with mean 68 and standard deviation 3 inches (based on information from Statistically Abstract of the U.S. 112th edition).

  1. What is the probability of an 18 year old man selected at random is between 67 and 69 inches tall?
  2. If a random sample of nine 18 year old is selected, what is the probability that the mean height x is between 67 and 69 inches.
  3. Compare your answers for parts a and b. Is the probability in part (b) much higher? Why would you expect this?

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