SOLUTION: A normal population has a mean of $75 and standard deviation of $5. You select random samples of 40. What is the probability that the sampling error ( x¯ − μ) would be $1.

Question 1184734: A normal population has a mean of $75 and standard deviation of $5. You select random samples of 40.
What is the probability that the sampling error ( x¯ − μ) would be $1.50 or less? (Round z-value to 2 decimal places and final answer to 4 decimal places.)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
want to know the probability the value is between $73.5 and $76.5
z=(-1.5)/5/sqrt(40)=1.897 or -1.90
want to know probability -1.9 < z < 1.9, and that is 0.9426
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