To: James Smith, Manager (Weinstein Medical Centre)
From: Aanchal Senapati, Assistant in Weinstein Medical Research Department
Subject: Investigation Report on the relationship between the health status and depressions for the selected geographic location.
James,
Below is the summary and test results from the statistical investigation we performed on the random samples of the 20 individuals 65 years or older from Florida, New york and North Carolina.
1. The descriptive statistics for the Medical1 and Medical2 are attached below:
Medical1 Statistics
Florida
New York
North Carolina
Mean
5.55
9
8.05
Standard Error
0.478
0.49
0.63
Median
6
9
8.5
Mode
7
9
9
Standard Deviation
2.14
2.20
2.84
Sample Variance
4.58
4.84
8.05
Sum
111
180
161
Count
20
20
20
Confidence Level(95%)
1.00
1.03
1.33
Medical2 Statistics
Florida
New York
North Carolina
Mean
16.55
17.25
15.95
Standard Error
0.70
0.92
0.66
Median
16.5
16.5
16
Mode
19
16
16
Standard Deviation
3.12
4.13
2.95
Sample Variance
9.73
17.04
8.68
Sum
331
345
319
Count
20
20
20
Confidence Level(95%)
1.46
1.93
1.38
From the above data results it is clear that the individual 65 year or older who had chronic health condition have greater test scores as mean value and sum of them, is greater than the mean values and sum obtained by Medical1 data.
The Hypothesis for the Medical1 data can be stated as
Ho : μ1 = μ2 = μ3
μ1 = the mean depression score of healthy people in Florida
μ2= the mean depression score of healthy people in New York
μ3 = the mean depression score of healthy people in North Carolina
Meaning , there is no significant difference in the mean depression score of healthy people in the three location and under alternative as,
H a : µ 1 ≠ µ 2 ≠ µ 3 Atleast one μi are different, There is significant difference in the mean depression score of healthy people in the three location where:
Similarly The...