A study was conducted on the annual incomes of corporate trainers in the state of New York, in metropolitan areas of less than 100,000, and in metropolitan areas having a population of over 500,000. Some sample statistics are:

Sample Statistic Population less than 100K Population more than 500K

Sample Size 45 60

Sample Mean $31,290 $31,330

Sample SD $1,060 $1,900

Test the hypothesis that the annual income of corporate trainers in areas of more then 500,000 are significantly more than those in areas of less than 100,000. Use the 5% level of risk.