Results for the Good Health Survey
Florida: Confidence Level at 95% is 1.001191951; Upper Limit is 6.551; Lower Limit is 4.548. The expected value has a 95% chance of being in the confidence range. In the case of the above problem, it has a 95% chance of being between 6.551 and 4.548. New York: Confidence Level at 95% is 1.0298559; Upper Limit is 9.0299; Lower Limit is 7.0299. The expected value has a 95% chance of being in the confidence range. In the case of the above problem, it has a 95% chance of being between 9.0299 and 7.0299. California: Confidence Level at 95% is 1.3278753; Upper Limit is 8.3779; Lower Limit is 5.7221. The expected value has a 95% chance of being in the confidence range. In the case of the above problem, it has a 95% chance of being between 8.3779 and 5.7221. Since we are under 25 we should use the Student t-distribution test. The descriptive statistics, the confidence interval limits are expanded with a larger population falling within the limits. We are using the descriptive statistics function to increase the confidence of the sample.
We will use these Hypotheses to determine if there is a difference in depression for the three states:
Ho= All geographical means are equal.
Ha= All Geographical means are not equal.
Conclusion, at the .05 significance level, 5.24 F exceeds the F-critical value of 3.159. There is sufficient evidence to reject the Null hypothesis in favor of the alternative. The P-value is .00081399, the ANOVA P-value is significantly less than alpha, and therefore there is strong evidence to reject the null hypothesis.
Using the inferences about individual treatment means is appropriate, when we look at the health of the patients. It is reasonable to believe that all the patients are health or have the same health. The inferences in this test will be very limited.
Extensions of this study or other analyses that could be helpful are limiting the age to smaller range, and using EKG's that are...
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