To perform two sample hypothesis testing using normal distribution.
A study was conducted on the annual incomes of corporate trainers in the state of New York 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
|
$31,290
|
$31,330
|
|
Sample SD
|
$1,060
|
$1,900
|
Test the hypothesis that the annual incomes of corporate trainers in areas of more than 500,000 are significantly more than those in areas of less than 100,000. Use the 5% level of risk.