According to a Bureau of Labor Statistics release of March 25, 2015, statisticians earn an average of $84,010 a year. Suppose that the current annual earnings of all statisticians have the mean and standard deviation of $84,010 and $20,000, respectively, and the shape of this distribution is skewed to the right. Find the probability that the mean earnings of a random sample of 256 statisticians is
a. Between $81,400 and $82,600
b. Within $1500 of the population mean
c. $85,300 or more
d. Not within $1600 of the population mean
e. Less than $83,000
f. Less than $85,000
g. More than $86,000
h. Between $83,000 and 85,500