SOLUTION: Kindergarten children have heights that are approximately normally distributed about a mean of 38.3 inches and a standard deviation of 1.6 inches. If a random sample of 27 is taken

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Question 1131373: Kindergarten children have heights that are approximately normally distributed about a mean of 38.3 inches and a standard deviation of 1.6 inches. If a random sample of 27 is taken, what is the probability that the sample of kindergarten children has a mean height of less than 40.5 inches?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
use z since sd known
z<(40.5-38.3)/1.6/sqrt(27)
z<2.2* sqrt(27)/1.6
z<7.14
probability is essentially 100%.