SOLUTION: I am trying to determine the probability of the following question. The height of 18 year old men are approximately normally distributed with a mean of 68 inches and a standard

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Question 935951: I am trying to determine the probability of the following question.
The height of 18 year old men are approximately normally distributed with a mean of 68 inches and a standard deviation of 3 inches. What is the probability that the average height of a sample of twenty 18 year olds will bel less than 69 inches?
I assumed I was trying to determine P(65<68<69).
Answer by reviewermath(1029) About Me  (Show Source):
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The height of 18 year old men are approximately normally distributed with a mean of 68 inches and a standard deviation of 3 inches. What is the probability that the average height of a sample of twenty 18 year olds will be less than 69 inches?
Solution:
The z score for 69 is %2869-68%29%2F%283%2Fsqrt%2820%29%29 = 1.4907
P(Z < 1.4907) = highlight%280.9320%29