# Statistics

posted by .

Assume that the average annual salary for a worker in the United States is 300,000- and that the annual salaries For Americans are normally distributed with a standard deviation equal to \$7,000. Find the following:
A. What percentage of Americans earn below \$22,000?
B. What percentage of Americans earn above 42,000?

• Statistics -

I'm going to assume that you mean the average annual salary is \$30k, not \$300k - because \$300k sounds a bit excessive to me, even for Americans! If so, the proportion of Americans who earn below \$22k should be the area to the left of (\$22k-\$30k)/\$7k = -1.143 in a set of Normal tables, which is 12.7%. The same sort of calculation for b) gives the area to the right of (\$42k-\$30k)/\$7k = 1.714, which is the same as 1 - (area to the left of 1.714) = 1 - 0.957 = 4.3%.

## Similar Questions

1. ### statistic

Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of \$34,000 and a standard deviation of \$2000. What is the cutoff salary for teachers in the bottom 10%?
2. ### statistics

The average salary for graduates entering the actuarial field is \$40,000. If the salaries are normally distributed with a standard deviation of \$5000 (σ = 5000), find the probability that a graduate will have a salary over \$45,000: …
3. ### statistics

According to a website about salaries, the national average salary as of October 2003 for a human resources clerk was \$29,932. We assume that the annual salaries for clerks are normally distributed with a standard deviation of \$1,860. …
4. ### math

Assume that the average annual salary for a worker in the United States is \$32,000 and that the annual salaries for Americans are normally distributed with a standard deviation equal to \$7,000. Find the following: (A) What percentage …
5. ### math

Assume that the average annual salary for a worker in the United States is \$30,500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to \$6,250. Find the following: (A) What percentage …
6. ### Math

Assume that the average annual salary for a worker in the United States is \$30,500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to \$6,250. Find the following: (A) What percentage …
7. ### Math check and help

WageWeb is a service of HRPDI and provides compensation information on more than 170 benchmark positions in human resources. The October 2003 posting indicated that labor relation managers earn a mean annual salary of \$88,000. Assume …
8. ### math

WageWeb is a service of HRPDI and provides compensation information on more than 170 benchmark positions in human resources. The October 2003 posting indicated that labor relation managers earn a mean annual salary of \$88,000. Assume …
9. ### statistics

According to Advertising Age, the average base salary for women working as copywriters is \$66,000. Assume that the salaries are normally distributed and that the standard deviation is \$7,500. a. What is the probability of a woman receiving …
10. ### statistics

Salaries for various positions can vary significantly depending on whether or not the company is in the public or private sector. The U.S. department of labor posted the 2007 mean salary for human resource managers employed by the …

More Similar Questions