# Hypothesis Testing-difference between means

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.