Halofenate has been shown to be effective in the treatment of conditions Halofenate Placebo associated with abnormally high levels of lipids in the blood; triglyceride is a lipid of particular importance. A group of 22 patients were treated with halofenate medication. The changes between the patients' triglyceride levels after treatment with halofenate and before treatment with halofenate were measured. 1 -1170 640 16 1368 3 -36 28 -371 33 5 -68 -9 (Note that a 169 1703 negative change corresponds to the desirable outcome of a reduction in triglyceride levels.) 7 -15 63 8 -97 59 The column Placebo contains the changes between triglyceride levels after treatment with an inactive placebo and before treatment with the placebo, for an independently drawn control group of 21 patients. The main question of interest is whether halofenate makes a more favourable 9 -169 68 10 -238 88 11 -253 58 12 -93 458 change to triglyceride levels, in comparison to a placebo. 13 -201 117 Graphical investigation of the data shows that normality cannot be assumed for the distribution of either Halofenate or Placebo. It is 14 75 -42 15 -201 -4 therefore decided to compare the effects of halofenate and a placebo on triglyceride reduction using the Mann-Whitney test. 16 1 -652 17 377 -124 (i) Write down appropriate null and alternative hypotheses for a test of whether the difference between the location of the changes between triglyceride levels after and before treatment with 18 -2 -2 19 -658 1720 20 -166 -15 halofenate and the location of the changes between triglyceride levels after and before treatment with a placebo is negative. Define any notation that you use. 21 -66 -60 22 -23 23 (ii) Use Minitab to carry out the Mann-Whitney test of the hypotheses discussed above. Provide a copy of the Minitab output that includes the p-value associated with the test. 24 (iii) Interpret the result of the test that you have just performed, as given by its p-value. 2.
Halofenate has been shown to be effective in the treatment of conditions Halofenate Placebo associated with abnormally high levels of lipids in the blood; triglyceride is a lipid of particular importance. A group of 22 patients were treated with halofenate medication. The changes between the patients' triglyceride levels after treatment with halofenate and before treatment with halofenate were measured. 1 -1170 640 16 1368 3 -36 28 -371 33 5 -68 -9 (Note that a 169 1703 negative change corresponds to the desirable outcome of a reduction in triglyceride levels.) 7 -15 63 8 -97 59 The column Placebo contains the changes between triglyceride levels after treatment with an inactive placebo and before treatment with the placebo, for an independently drawn control group of 21 patients. The main question of interest is whether halofenate makes a more favourable 9 -169 68 10 -238 88 11 -253 58 12 -93 458 change to triglyceride levels, in comparison to a placebo. 13 -201 117 Graphical investigation of the data shows that normality cannot be assumed for the distribution of either Halofenate or Placebo. It is 14 75 -42 15 -201 -4 therefore decided to compare the effects of halofenate and a placebo on triglyceride reduction using the Mann-Whitney test. 16 1 -652 17 377 -124 (i) Write down appropriate null and alternative hypotheses for a test of whether the difference between the location of the changes between triglyceride levels after and before treatment with 18 -2 -2 19 -658 1720 20 -166 -15 halofenate and the location of the changes between triglyceride levels after and before treatment with a placebo is negative. Define any notation that you use. 21 -66 -60 22 -23 23 (ii) Use Minitab to carry out the Mann-Whitney test of the hypotheses discussed above. Provide a copy of the Minitab output that includes the p-value associated with the test. 24 (iii) Interpret the result of the test that you have just performed, as given by its p-value. 2.
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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Question
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q2 a
Transcribed Image Text:Halofenate has been shown to be effective in the treatment of conditions
Halofenate Placebo
associated with abnormally high levels of lipids in the blood; triglyceride
is a lipid of particular importance. A group of 22 patients were treated
with halofenate medication. The changes between the patients'
triglyceride levels after treatment with halofenate and before treatment
with halofenate were measured.
1
-1170
640
16
1368
3
-36
28
-371
33
5
-68
-9
(Note that a
169
1703
negative change corresponds to the desirable outcome of a reduction in
triglyceride levels.)
7
-15
63
8
-97
59
The column Placebo contains the changes between triglyceride levels
after treatment with an inactive placebo and before treatment with the
placebo, for an independently drawn control group of 21 patients. The
main question of interest is whether halofenate makes a more favourable
9
-169
68
10
-238
88
11
-253
58
12
-93
458
change to triglyceride levels, in comparison to a placebo.
13
-201
117
Graphical investigation of the data shows that normality cannot be
assumed for the distribution of either Halofenate or Placebo. It is
14
75
-42
15
-201
-4
therefore decided to compare the effects of halofenate and a placebo on
triglyceride reduction using the Mann-Whitney test.
16
1
-652
17
377
-124
(i) Write down appropriate null and alternative hypotheses for a test
of whether the difference between the location of the changes
between triglyceride levels after and before treatment with
18
-2
-2
19
-658
1720
20
-166
-15
halofenate and the location of the changes between triglyceride
levels after and before treatment with a placebo is negative. Define
any notation that you use.
21
-66
-60
22
-23
23
(ii) Use Minitab to carry out the Mann-Whitney test of the hypotheses
discussed above. Provide a copy of the Minitab output that
includes the p-value associated with the test.
24
(iii) Interpret the result of the test that you have just performed, as
given by its p-value.
2.
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