Answered: Noting the paucity of information 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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Noting the paucity of information on the effect of estrogen on platelet membrane fatty acid composition, Ranganath et al. (A-48) conducted a study to examine the possibility that changes may be present in postmenopausal women and that these may be reversible with estrogen treatment. The 31 women recruited for the study had not menstruated for at least 3 months or had symptoms of the menopause. No woman was on any form of hormone replacement therapy (HRT) at the time she was recruited. Table 5 shows the platelet membrane linoleic acid values before and after a period of HRT. Does the data follow normal distribution?

Subject
Before
After
Subject
Before
After
Subject
Before
After
6.06
5.34
12
7.65
5.55
23
5.04
4.74
2
6.68
6.11
13
4.57
4.25
24
7.89
7.48
3
5.22
5.79
14
5.97
5.66
25
7.98
6.24
5.97
5.93
6.73
4
6.07
5.66
5.79
6.26
15
26
6.35
5.66
16
6.32
5.97
27
4.85
4.26
6.52
5.70
6.41
17
6.12
28
6.94
5.15
7
4.23
4.39
18
6.05
29
6.54
5.30
8
3.58
4.61
6.79
4.20
19
6.31
30
4.83
5.58
9
5.97
20
4.44
4.52
31
4.71
4.10
10
6.16
6.00
21
5.51
4.93
11
6.41
5.35
22
8.48
8.80
Source: Data provided courtesy of Dr. L. Ranganath.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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