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ANOVA on the Relationship of Geographic Location and Depression

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I need some help with these questions on the statistics case study presented below:
Use analysis of variance on data set 1 (Good Health). State the hypotheses being tested. What are your conclusions?
Use analysis of variance on data set 2 (Chronic Bad Health). State the hypotheses being tested. What are your conclusions?

As part of a long term study of individuals 65 years of age or older, sociologist 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 individuals were residents of Florida, 20 were residents of New York, and 20 were residents of North Carolina. Each of the individuals sampled was given a standardized test to measure depression. The data collected follow; higher test scores indicate higher levels of depression. These data are available on the disk in the medical file.

A second part of the study 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, and/or heart ailment. A sample of 60 individuals with such conditions was identified. Again 20 were residents of Florida, 20 were residents of New York, and 20 were residents of north Carolina the levels of depression recorded for this study follow. These data are available on the data disk in the file Medical2. See attachment for data tables.

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Solution Summary

This solution provides a null and alternative hypothesis and conducts an ANOVA test to determine the p-value to compared with the alpha value. From this a decision to accept or reject the null hypothesis can be made. All steps are shown with brief explanations and conclusions.

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  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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