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According to a Bureau of Labor Statistics release of March 25, 2015, statisticians earn an average...

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)  

within $1500 of the population mean?

(b)  

not within $1600 of the population mean?

math   Statistics-And-Probability   
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