SOLUTION: The heights of adult women are normally distributed with a mean of 67 inches and a standard deviation of 2.7 inches. A group of 81 adult women is selected at random. Find the pro

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Question 388077: The heights of adult women are normally distributed with a mean of 67 inches and a standard deviation of 2.7 inches. A group of 81 adult women is selected at random. Find the probability that their mean height is higher 66 inches.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Note: z+=+%28x+-+mu%29%2F%28sigma%2Fsqrt%28n%29%29

       z = (66-67( / (2.7/9) = -1/.3 = -3.33

  P ( height higher than 66in) = 1 - P(z = -3.33) = 1 - .00043 = .9996