[See Solution] The heights of 18 year old men are approximately normally distributed, with the mean 68 inches and the standard deviation 3 inches. what is the


Question: The heights of 18 year old men are approximately normally distributed, with the mean 68 inches and the standard deviation 3 inches.

  1. what is the probability that 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 men 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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