SOLUTION: Kindergarten children have heights that are approximately normally distributed about a mean of 39.5 inches and a standard deviation of 2.8 inches. If a random sample of 24 is taken

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Question 1103808: Kindergarten children have heights that are approximately normally distributed about a mean of 39.5 inches and a standard deviation of 2.8 inches. If a random sample of 24 is taken, what is the probability that the sample of kindergarten children has a mean height of less than 37.8 inches? (Give your answer correct to four decimal places.)
statistics problem

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is a t-test
t=(xbar-mean)/s/sqrt(n)
calculation is t=(37.8-39.5)/(2.8)/sqrt(24)
t=-1.7*sqrt(24)/2.8=-2.97
probability of t <-2.97 is 0.0034