Answered: 9.65 Suppose the investigators are…

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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9.65 Suppose the investigators are reluctant to assume
that the change in LVM over four years is normally distributed. What test can be used to assess if there is a change
in mean LVM over four years?
9.66 What are the hypotheses being tested with this test?
9.67 What is the test statistic for this test as applied to the
data in Table 9.18?
Hint: Assume that the large sample method of significance
testing is valid for these data, despite the n = 10

TABLE 9.18 Pilot data on left ventricular mass
(LVM) in children from the Bogalusa
Heart Study
ID
Baseline
Change (g)*
LVM (g)
4-year
LVM (g)
1
139
163
24
134
126
-8
86
142
56
4
98
96
-2
78
111
33
6.
90
108
18
7
102
167
65
8.
73
82
9
93
77
-16
10
162
172
10
*4-year LVM minus baseline LVM

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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