SOLUTION: Consider a normal population with a mean of 50 and standard deviation of 2. A random sample of size 4 is selected from the population. Find the probability that the sample mean is

Question 1140729: Consider a normal population with a mean of 50 and standard deviation of 2. A random sample of size 4 is selected from the population. Find the probability that the sample mean is between 49.1 and 50.15.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x bar-mean)/sigma/sqrt(n)
so z1=-0.9/2/sqrt(4)=-0.9*2/2=-0.9 (invert the denominator and multiply, although it doesn't matter here)
z2=0.15*2/2=0.15
That probability, z between -0.9 and +0.15, is 0.3756
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