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# Hypothesis Testing-difference between means

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A study was conducted on the annual incomes of public school teachers in the state of x, in metropolitan area of less than 100,000, and in metropolitan areas having a population of over 500,000. Some sample statistics are:
The group has the following characteristics:

Less than 100K
Population 45
Mean \$31,290
Standard Deviation \$1,060

More than 500K
Population 60
Mean \$31,330
Standard Deviation \$1,900

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

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#### Solution Preview

A study was conducted on the annual incomes of public school teachers in the state of x,
in metropolitan area of less than 100,000, and in metropolitan areas having a population of over 500,000. Some sample statistics are:

The group has the following characteristics:

Less than 100K
Population 45
Mean \$31,290
Standard Deviation \$1,060

More than 500K
Population 60
Mean \$31,330
Standard Deviation ...

#### Solution Summary

The solution tests the hypothesis that the annual income of teachers in areas of more than 500,000 is significantly more than those in areas of less than 100,000.

\$2.49