# Statistics

posted by .

The populaion mean annual salary of service desk managers is \$48,000 with a standard deviation of \$1,800. A sample of 36 service desk managers is randomly selected. What is the probability the mean annual salary of the sample is less then \$47,550?

• Statistics -

Z = (score-mean)/SEm

Score = sample mean

SEm = SD/√n

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion related to the Z score.

## Similar Questions

1. ### statistics

In a time-use study, 20 randomly selected managers were found to spend a mean of 2.40 hours each day on paperwork. The standard deviation of the the 20 scores is 1.30. Also, the sample data appear to have a bell-shaped distribution. …
2. ### statistics

In a certain region, the mean annual salary for plumbers is \$51,000. Let x be a random variable that represents a plumber's salary. Assume the standard deviation is \$1300. If a random sample of 100 plumbers is selected, what is the …
3. ### 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 …
4. ### 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 …
5. ### Statistics

The average teacher's salary in North Dakota is \$41,027. Assume a normal distribution with standard deviation of \$5200. A. what is the probability that a randomly selected teachers salary is less than 40,000?
6. ### statistica

A management consultant has analysed a random sample of 40 large firms in order to investigate the mean annual salary of sales managers. She has constructed the following 90% confidence interval for the population mean annual salary: …
7. ### statistics

A management consultant has analysed a random sample of 40 large firms in order to investigate the mean annual salary of sales managers. She has constructed the following 90% confidence interval for the population mean annual salary: …
8. ### statistic

an employment information service reports that the mean annual salary for full time male workers ages 25 to 34 with a bachelor's degree is \$48718. in a random sample of 12 full time males workers ages 25 to 34 with a bachelor's degree, …
9. ### 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 …
10. ### statics

Q: The mean annual salary for a sample of electrical engineers is \$83,500, with a standard deviation The mean annual salary for a sample of electrical engineers is \$83,500, with a standard deviation of \$1500. The data set has a bell-shaped …

More Similar Questions