Wentworth Medical Center
In this case we looked at data from 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 and depression.
A sample of 60 individuals, all in reasonably good health, was selected; 20 were residents of Florida, 20 were residents of New York, and 20 were residents of North Carolina. From the data collected we could know that the higher test scores indicate higher levels of depression. The descriptive statistics of the data collected are as following:
GROUPS SIZE SUM MEAN SAMPLE VARIANCE
FLORIDA 20 88.50 4.42 3.81
NEW YORK 20 131.53 6.58 3.95
NORTH CAROLINA 20 137.09 6.85 2.31
For the second part of this study, we considered the relationship between geographic location and depression for individuals 65 years of age or older who had a chronic health condition such as arthritis, hypertension, or heart ailment. A sample of 60 individuals with such conditions was identified. 20 were residents of Florida, 20 were residents of New York, and 20 were residents of North Carolina. The descriptive statistics of the data are as following:
GROUPS SIZE SUM MEAN SAMPLE VARIANCE
FLORIDA 20 284.71 14.24 15.88
NEW YORK 20 313.15 15.66 9.82
NORTH CAROLINA 20 321.01 16.05 12.79
In both of the two tables above, we found that the residents in Florida shows the lowest mean scores than either of the other states, implying that the level of depression is lowest than others. Compare these two tables, we found that the depression mean scores and variance of health individual is far lower than the individuals with chronic health problem.
First, we determine if there is any difference in depression means for the three states within the health individuals, we have conducted the following hypothesis test, with the level of significance 0.05:
H0: µ1 = µ2 = µ3 Ha: Not all are equal where: µ1= population mean of depression scores
A sample of 60 individuals, all in reasonably good health, was selected; 20 were residents of Florida, 20 were residents of New York, and 20 were residents of North Carolina. From the data collected we could know that the higher test scores indicate higher levels of depression. The descriptive statistics of the data collected are as following:
GROUPS SIZE SUM MEAN SAMPLE VARIANCE
FLORIDA 20 88.50 4.42 3.81
NEW YORK 20 131.53 6.58 3.95
NORTH CAROLINA 20 137.09 6.85 2.31
For the second part of this study, we considered the relationship between geographic location and depression for individuals 65 years of age or older who had a chronic health condition such as arthritis, hypertension, or heart ailment. A sample of 60 individuals with such conditions was identified. 20 were residents of Florida, 20 were residents of New York, and 20 were residents of North Carolina. The descriptive statistics of the data are as following:
GROUPS SIZE SUM MEAN SAMPLE VARIANCE
FLORIDA 20 284.71 14.24 15.88
NEW YORK 20 313.15 15.66 9.82
NORTH CAROLINA 20 321.01 16.05 12.79
In both of the two tables above, we found that the residents in Florida shows the lowest mean scores than either of the other states, implying that the level of depression is lowest than others. Compare these two tables, we found that the depression mean scores and variance of health individual is far lower than the individuals with chronic health problem.
First, we determine if there is any difference in depression means for the three states within the health individuals, we have conducted the following hypothesis test, with the level of significance 0.05:
H0: µ1 = µ2 = µ3 Ha: Not all are equal where: µ1= population mean of depression scores