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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.
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