To test the two different population income
A study conducted on the annual incomes of Teachers in the state of California in metropolitan areas having a population less than 100,000 and in metropolitan areas having a population over 500,000. Some sample statistics are:
SAMPLE STATISTIC

POPULATION LESS THAN 100K

POPULATION MORE THAN 500K

Sample Size

45

60

Sample mean

$46,289

$53,2750

Sample SD

$1,060

$1,900

Test the hypothesis that the annual incomes of Teachers in areas of more than 500,000 are significantly more than those in areas of less than 100,000. Use the 5 percent level of risk.