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Name: The following data was collected from a clinical trial testing a new d
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Description: The following data was collected from a clinical trial testing a new drug aimed to lower blood pressure for individuals older than age 45. Half of the 20 participants received the new drug (Treatment = Yes) and the other half of the participants rece

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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The following data was collected from a clinical trial testing a new drug aimed to lower blood pressure for individuals older than age 45. Half of the 20 participants received the new drug (Treatment = Yes) and the other half of the participants received a placebo pill (Treatment = No). Their age and gender was also recorded.

Based on the data above. Researchers were interested in examining if there was a significant difference in blood pressure before and after the treatment for only the ten participants who got the new drug (Treatment = Yes).

Compute the mean and standard deviation for the sample of difference scores for those who received the new drug (Treatment = Yes). Round to two decimal points.

Mean=? SD=?

Subject ID
Treatment
Age
Gender
ВP Before
BP_After
D1
Yes
65
F
103.3
80.5
D2
Yes
59
93.6
85.9
D3
Yes
60
M
92
85.2
D4
Yes
54
93
87.8
D5
Yes
65
95.4
85.3
D6
Yes
57
109.6
94.2
D7
Yes
69
M
97.9
83.9
Yes
62
M
96
85
D9
Yes
49
98.4
86.3
D10
Yes
45
M
98.4
90
C1
No
63
97.4
93.1
C2
No
56
97.2
92.4
C3
No
54
M
98.8
94.6

C4
No
69
98.4
92.3
C5
No
75
89.8
89.3
C6
No
62
103.4
99.7
C7
No
61
90.1
88.4
C8
No
59
93.7
90.4
No
73
96.4
91.1
C10
No
57
F
98.6
90.5

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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