Problem Set 1:In a study of length of time spent on individual home visits by public healthnurses, data were reported on length of home visit, inminutes, by a sample of 80 nurses. A record was made also of each nurse’s age and the type of illness of each patient visited. The researchers wished to obtain from their investigation answers to the following questions:1. Does the mean length of home visit differ among different age groups ofnurses?2. Does the type of patient affect the mean length of homevisit?3. Is there interaction between nurse’s age and type ofpatient? The data on length of home visitthatwere obtainedduring the studyareshownin Table 1:TABLE 1: Length of Home Visit in Minutes by Public Health Nurses by Nurse's Age Group andType of PatientFactor B(Nurse's Age Group) LevelsFactor A(Type of Patient)123Levels(20 to 29)(30 to 39)(40 to 49)(50 and Over)1 (Cardiac)20252428253028312229242627282529213030322 (Cancer)30303940452942453031365035304245363040603 (C.V.A.)31324142303545504030404035404055303035454 (Tuberculosis)2023242921252530202830282030262719312330

Here A or row represents type of patient, B or column represent nurse's age group and AB represents…

Answered: In a study of length of time spent on…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Problem Set 1:
In a study of length of time spent on individual home visits by public health
nurses, data were reported on length of home visit, inminutes, by a sample of 80 nurses. A record was made also of each nurse’s age and the type of illness of each patient visited.

The researchers wished to obtain from their investigation answers to the following questions:
1. Does the mean length of home visit differ among different age groups of
nurses?
2. Does the type of patient affect the mean length of homevisit?
3. Is there interaction between nurse’s age and type ofpatient?

The data on length of home visitthatwere obtainedduring the studyareshown
in Table 1:
TABLE 1: Length of Home Visit in Minutes by Public Health Nurses by Nurse's Age Group and
Type of Patient
Factor B(Nurse's Age Group) Levels
Factor A
(Type of Patient)
1
2
3
Levels
(20 to 29)
(30 to 39)
(40 to 49)
(50 and Over)
1 (Cardiac)
20
25
24
28
25
30
28
31
22
29
24
26
27
28
25
29
21
30
30
32
2 (Cancer)
30
30
39
40
45
29
42
45
30
31
36
50
35
30
42
45
36
30
40
60
3 (C.V.A.)
31
32
41
42
30
35
45
50
40
30
40
40
35
40
40
55
30
30
35
45
4 (Tuberculosis)
20
23
24
29
21
25
25
30
20
28
30
28
20
30
26
27
19
31
23
30

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 + ...

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