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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

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