Part 2: Wentworth Medical Center As part of a long-term study of individuals 65
ID: 3242635 • Letter: P
Question
Part 2: Wentworth Medical Center
As part of a long-term study of individuals 65 years 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 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. A sample of the data collected follows; higher test scores indicate higher levels of depression. The complete data set can be found on D2L as an accompanying file called MEDICAL1.MTW.
A second part of the study considered the relationship between the 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. A sample of the levels of depression recorded for this study follow. The complete data set can be found on D2L as an accompanying file called MEDICAL2.MTW.
Assignment:
Prepare a statistical analysis report that addresses the following issues below. In particular, you must clearly state the major conclusions derived by the statistical analysis of each study’s results. The target audience for this report is the physician who undertook the two studies, who you may assume has a basic understanding of business statistics.
1) Use Minitab to provide descriptive statistics to summarize the data from the two studies. What are your preliminary observations about the depression scores from the two studies? Are there differences between the studies that appear significant? Are there differences between the states that appear significant within each study?
2) Use Minitab to conduct a comparison analysis on the Medical1 data set. For the data on each state (Florida, New York, and North Carolina) from Medical1, test the hypothesis that the population mean is different from a score of 7.0 for each state. Use a 90% confidence level for your hypothesis tests. Clearly state the hypotheses being tested in all three cases for each data set. You will perform three hypothesis tests in all, one for each state. What are your conclusions? Include and interpret properly formatted evidence from the Minitab output to support your conclusions.
3) Use Minitab to conduct a comparison analysis on the Medical2 data set. For the data on each state (Florida, New York, and North Carolina) from Medical2, test the hypothesis that the population mean is different from a score of 15.0 for each state. Use a 90% confidence level for your hypothesis tests. Clearly state the hypotheses being tested in all three cases for each data set. You will perform three hypothesis tests in all, one for each state. What are your conclusions? Include and interpret properly formatted evidence from the Minitab
Assignment:
Prepare a statistical analysis report that addresses the following issues below. In particular, you must clearly state the major conclusions derived by the statistical analysis of each study’s results. The target audience for this report is the physician who undertook the two studies, who you may assume has a basic understanding of business statistics.
1) Use Minitab to provide descriptive statistics to summarize the data from the two studies. What are your preliminary observations about the depression scores from the two studies? Are there differences between the studies that appear significant? Are there differences between the states that appear significant within each study?
2) Use Minitab to conduct a comparison analysis on the Medical1 data set. For the data on each state (Florida, New York, and North Carolina) from Medical1, test the hypothesis that the population mean is different from a score of 7.0 for each state. Use a 90% confidence level for your hypothesis tests. Clearly state the hypotheses being tested in all three cases for each data set. You will perform three hypothesis tests in all, one for each state. What are your conclusions? Include and interpret properly formatted evidence from the Minitab output to support your conclusions.
3) Use Minitab to conduct a comparison analysis on the Medical2 data set. For the data on each state (Florida, New York, and North Carolina) from Medical2, test the hypothesis that the population mean is different from a score of 15.0 for each state. Use a 90% confidence level for your hypothesis tests. Clearly state the hypotheses being tested in all three cases for each data set. You will perform three hypothesis tests in all, one for each state. What are your conclusions? Include and interpret properly formatted evidence from the Minitab output to support your conclusions.
Explanation / Answer
Using MINITAB
MTB > Describe 'F1' - 'NC1';
SUBC> Mean;
SUBC> SEMean;
SUBC> StDeviation;
SUBC> Variance;
SUBC> CVariation;
SUBC> QOne;
SUBC> Median;
SUBC> QThree;
SUBC> Skewness;
SUBC> Kurtosis;
SUBC> N;
SUBC> NMissing;
SUBC> GNHistogram.
Descriptive Statistics: F1, NY1, NC1
Variable N Mean SE Mean StDev Variance CoefVar Q1 Median
F1 5 5.60 1.08 2.41 5.80 43.01 3.00 7.00
NY1 5 8.600 0.678 1.517 2.300 17.63 7.500 8.000
NC1 5 7.20 1.50 3.35 11.20 46.48 4.00 7.00
Variable Q3 Skewness Kurtosis
F1 7.50 -0.47 -3.09
NY1 10.000 1.12 1.46
NC1 10.50 -0.09 -1.98
Histogram (with Normal Curve) of NC1
Here we observed that the data set of 60 individuals, all in reasonably good health the North Carolina shows that uniformly distributed all over the city.
Now analysis for MEDICAL2
MTB > Describe 'F2' - 'NC2';
SUBC> Mean;
SUBC> SEMean;
SUBC> StDeviation;
SUBC> Variance;
SUBC> CVariation;
SUBC> QOne;
SUBC> Median;
SUBC> QThree;
SUBC> Skewness;
SUBC> Kurtosis;
SUBC> N;
SUBC> NMissing;
SUBC> GNHistogram.
Descriptive Statistics: F2, NY2, NC2
Variable N Mean SE Mean StDev Variance CoefVar Q1 Median Q3
F2 5 15.80 1.46 3.27 10.70 20.70 12.50 17.00 18.50
NY2 5 13.20 1.24 2.77 7.70 21.02 10.50 14.00 15.50
NC2 5 13.40 1.40 3.13 9.80 23.36 11.00 12.00 16.50
Variable Skewness Kurtosis
F2 0.01 -1.61
NY2 -0.93 0.13
NC2 0.77 -0.25
Histogram (with Normal Curve) of NY2
Histogram (with Normal Curve) of NC2
Here we observed that the data set of 60 individuals, all in reasonably good health the North Carolina shows that uniformly distributed all over the city.
Comparision:
The depression level of healthy people is more serious than the unhealthy people because the coefficient of variance (CV) of healthy group is more than the coefficient of variance of unhealthy group. Only New York city has reverse result, because the coefficient of variance (CV) of healthy group is less than the coefficient of variance of unhealthy group in New York city.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.