In: Statistics and Probability
A town has 500 real estate agents. The mean value of the properties sold in a year by these agents is 650,000, and the standard deviation is 200,000. A random sample of 100
agents is selected, and the value of the properties they sold in a year is recorded.
a. What is the standard error of the sample mean?
b. What is the probability that the sample mean exceeds 656,000?
c. What is the probability that the sample mean exceeds 631,000?
d. What is the probability that the sample mean is between 634,000
and 660,000?