The weekly salariesof sociologistsin the United States are normally distributed and have a known population standard deviation of425

dollars and an unknown population mean. A random sample of22

sociologists is taken and gives a sample mean of1520

dollars.

Find themargin of errorfor the confidence interval for the population mean with a98%

confidence level.

z

0.10

z

0.10

z

0.05

z

0.05

z

0.025

z

0.025

z

0.01

z

0.01

z

0.005

z

0.005

1.282

1.645

1.960

2.326

2.576

You may use a calculator or the commonz

values above.

• Round the final answer to twodecimal places.