As part of a long-term study of individuals 65 years of age 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. Higher test scores indicate higher levels of depression.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.Prepare a managerial report that summarizes findings of respondents from Florida, North Carolina, and New York regarding depression test scores of reasonably healthy individuals and individuals with chronic health conditions.Consider the two data sets with depression levels for individuals 65 years of age or older.Medical1 (good health)FloridaNew YorkNorth Carolina491181288114496910129799856446148311977939871347910107989136675848894912 Medical2 (chronic health condition)FloridaNew YorkNorth Carolina141510131012181617181318211714222516171919151510141616181818132120101219132419162015171815161516141011111512121415181211Calculate the mean and standard deviation of the depression scores for those in good health for each state. (Round your answers to three decimal places.) MeanStandard DeviationFlorida New York North Carolina Calculate the mean and standard deviation of the depression scores for those with chronic health conditions for each state. (Round your answers to three decimal places.) MeanStandard DeviationFlorida New York North Carolina Use ? = 0.05 to test to see whether the depression scores of individuals in good health differ for each state. (You may need to use the appropriate technology to answer this question.) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) Use ? = 0.05 to test to see whether the depression scores of individuals with a chronic health condition differ for each state. (You may need to use the appropriate technology to answer this question.) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.)

Given,the scores of depression for healthy elders, and those with chronic disease in each of the…

Answered: Calculate the mean and standard…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

As part of a long-term study of individuals 65 years of age 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. Higher test scores indicate higher levels of depression.

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.

Prepare a managerial report that summarizes findings of respondents from Florida, North Carolina, and New York regarding depression test scores of reasonably healthy individuals and individuals with chronic health conditions.

Consider the two data sets with depression levels for individuals 65 years of age or older.

Medical1 (good health)

Florida	New York	North Carolina
4	9	11
8	12	8
8	11	4
4	9	6
9	10	12
9	7	9
9	8	5
6	4	4
6	14	8
3	11	9
7	7	9
3	9	8
7	13	4
7	9	10
10	7	9
8	9	13
6	6	7
5	8	4
8	8	9
4	9	12

Medical2 (chronic health condition)

Florida	New York	North Carolina
14	15	10
13	10	12
18	16	17
18	13	18
21	17	14
22	25	16
17	19	19
15	15	10
14	16	16
18	18	18
13	21	20
10	12	19
13	24	19
16	20	15
17	18	15
16	15	16
14	10	11
11	15	12
12	14	15
18	12	11

Calculate the mean and standard deviation of the depression scores for those in good health for each state. (Round your answers to three decimal places.)

	Mean	Standard Deviation
Florida
New York
North Carolina

Calculate the mean and standard deviation of the depression scores for those with chronic health conditions for each state. (Round your answers to three decimal places.)

	Mean	Standard Deviation
Florida
New York
North Carolina

Use ? = 0.05 to test to see whether the depression scores of individuals in good health differ for each state. (You may need to use the appropriate technology to answer this question.)

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

Use ? = 0.05 to test to see whether the depression scores of individuals with a chronic health condition differ for each state. (You may need to use the appropriate technology to answer this question.)

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Step by step

Solved in 4 steps with 14 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Forecasting$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Florida	New York	North Carolina
4	9	11
8	12	8
8	11	4
4	9	6
9	10	12
9	7	9
9	8	5
6	4	4
6	14	8
3	11	9
7	7	9
3	9	8
7	13	4
7	9	10
10	7	9
8	9	13
6	6	7
5	8	4
8	8	9
4	9	12

Florida	New York	North Carolina
14	15	10
13	10	12
18	16	17
18	13	18
21	17	14
22	25	16
17	19	19
15	15	10
14	16	16
18	18	18
13	21	20
10	12	19
13	24	19
16	20	15
17	18	15
16	15	16
14	10	11
11	15	12
12	14	15
18	12	11

Florida	New York	North Carolina
4	9	11
8	12	8
8	11	4
4	9	6
9	10	12
9	7	9
9	8	5
6	4	4
6	14	8
3	11	9
7	7	9
3	9	8
7	13	4
7	9	10
10	7	9
8	9	13
6	6	7
5	8	4
8	8	9
4	9	12

Florida	New York	North Carolina
14	15	10
13	10	12
18	16	17
18	13	18
21	17	14
22	25	16
17	19	19
15	15	10
14	16	16
18	18	18
13	21	20
10	12	19
13	24	19
16	20	15
17	18	15
16	15	16
14	10	11
11	15	12
12	14	15
18	12	11

Florida	New York	North Carolina
4	9	11
8	12	8
8	11	4
4	9	6
9	10	12
9	7	9
9	8	5
6	4	4
6	14	8
3	11	9
7	7	9
3	9	8
7	13	4
7	9	10
10	7	9
8	9	13
6	6	7
5	8	4
8	8	9
4	9	12

Florida	New York	North Carolina
14	15	10
13	10	12
18	16	17
18	13	18
21	17	14
22	25	16
17	19	19
15	15	10
14	16	16
18	18	18
13	21	20
10	12	19
13	24	19
16	20	15
17	18	15
16	15	16
14	10	11
11	15	12
12	14	15
18	12	11