# Normal Distribution and Standard Error

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|Maximum |9. |Second Moment |4.3475 | | |

|Range |7. |Third Moment |-2.28975 | | |

|Sum |111. |Fourth Moment |35.90523 | | |

|Sum Standard Error |9.56694 |Median |6. | | |

|Total Sum

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II. STATEMENT OF THE PROBLEM As part of a long-term study of individuals 65 years of age or older, sociologists and physicians at the Wentworth Medical Center in upstate New York investigated the relationship between geographic location, health status ( healthy or one or more comorbidities), and depression. Random samples of 20 healthy individuals were selected from three geographic locations: Florida, New York, and North Carolina. Then, each was given a standardized test to measure depression (higher test scores indicate higher levels of depression). Similarly, random samples of 20 individuals with one or more comorbidities (arthritis, hypertension, and/or heart ailment) were taken from the three geographic locations. They were also
|Mean Deviation |1.795 | | |

|Maximum |9. |Second Moment |4.3475 | | |

|Range |7. |Third Moment |-2.28975 | | |

|Sum |111. |Fourth Moment |35.90523 | | |

|Sum Standard Error |9.56694 |Median |6. | | |

|Total Sum

|Maximum |9. |Second Moment |4.3475 | | |

|Range |7. |Third Moment |-2.28975 | | |

|Sum |111. |Fourth Moment |35.90523 | | |

|Sum Standard Error |9.56694 |Median |6. | | |

|Total Sum