In: Statistics and Probability
We have a sample of 5090 participants, who self-reported severity of depressive symptoms in the past 14 days. The scale used to assess depression ranges from 0 to 27, with scores greater than 9 indicating possible major depression. The sample mean is 3.33, with standard deviation equals to 4.66. A total of 477 participants have scores greater than 9. Do you think it is representative of the National Rates?
Men are 2493, and have a mean score of 2.92 (standard deviation=4.82); Women are 2597, and have a mean score of 3.72 (standard deviation=4.47). Are the mean scores statistically different?