8. Coughing at night is a common symptom of an upper respiratory tract infection, yet there is no accepted therapeutic cure. Some people believe that a teaspoon of honey before bed calm a child's cough. A study was conducted by pediatric researchers to test the folk remedy. One hundred and five ill children in the sample were randomly assigned to one of three groups: those who received a dosage of honey (H), those who received a dosage of an over-the-counter medicine (DM), and those who received no dosage (control group). The coughing improvement scores (as determined by children's parents) for the patients are reported in the following table (each number is a data point for a patient): Honey 12 11 15 Dosage 6 10 8 9 13 8 4 6 9 4 9 12 13 9 4 5 6 0 7 7 9 7 6 10 9 4 DM Dosage No Dosage (Control) 8 12 7 112 12 4 7 4 10 13 122 10 7 6 8 7 8 15 8 9 8 10 4 15 16 9 14 10 12 9 11 15 10 15 5 12 9 12 12 4 8 9 7 12 9 12 5 7 8 7 11 9 3 1 11 6 3 10 10 12 13 7 7 5 4 3 1 6 6 8 8 a. Find the median improvement score for the honey dosage group. b. Find the median improvement score for the DM dosage group. c. Find the median improvement score for the control group. d. Based on the results form parts a to c, what conclusions can researchers draw? e. Find the standard deviation of the improvement scores for the honey dosage group. f. Find the standard deviation of the improvement scores for the DM dosage group. g. Find the standard deviation of the improvement scores for the control group. h. Based on the results form parts e to g, which group appears to have the most variability in coughing improvement scores? The least variability? Explain.
8. Coughing at night is a common symptom of an upper respiratory tract infection, yet there is no accepted therapeutic cure. Some people believe that a teaspoon of honey before bed calm a child's cough. A study was conducted by pediatric researchers to test the folk remedy. One hundred and five ill children in the sample were randomly assigned to one of three groups: those who received a dosage of honey (H), those who received a dosage of an over-the-counter medicine (DM), and those who received no dosage (control group). The coughing improvement scores (as determined by children's parents) for the patients are reported in the following table (each number is a data point for a patient): Honey 12 11 15 Dosage 6 10 8 9 13 8 4 6 9 4 9 12 13 9 4 5 6 0 7 7 9 7 6 10 9 4 DM Dosage No Dosage (Control) 8 12 7 112 12 4 7 4 10 13 122 10 7 6 8 7 8 15 8 9 8 10 4 15 16 9 14 10 12 9 11 15 10 15 5 12 9 12 12 4 8 9 7 12 9 12 5 7 8 7 11 9 3 1 11 6 3 10 10 12 13 7 7 5 4 3 1 6 6 8 8 a. Find the median improvement score for the honey dosage group. b. Find the median improvement score for the DM dosage group. c. Find the median improvement score for the control group. d. Based on the results form parts a to c, what conclusions can researchers draw? e. Find the standard deviation of the improvement scores for the honey dosage group. f. Find the standard deviation of the improvement scores for the DM dosage group. g. Find the standard deviation of the improvement scores for the control group. h. Based on the results form parts e to g, which group appears to have the most variability in coughing improvement scores? The least variability? Explain.
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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Transcribed Image Text:8. Coughing at night is a common symptom of an upper respiratory tract infection, yet
there is no accepted therapeutic cure. Some people believe that a teaspoon of honey
before bed calm a child's cough. A study was conducted by pediatric researchers to test
the folk remedy. One hundred and five ill children in the sample were randomly assigned
to one of three groups: those who received a dosage of honey (H), those who received a
dosage of an over-the-counter medicine (DM), and those who received no dosage
(control group). The coughing improvement scores (as determined by children's parents)
for the patients are reported in the following table (each number is a data point for a
patient):
Honey
Dosage
DM
Dosage
4
4
13
No
5
Dosage
7
(Control) 6
10 13 10 4 15 16 9 14 10
12 9 11 15
12
12 8
10 15
10 8 9
5
12
7
7 9
8
12
15
9
8
12 8
9
5
8 7
12 11 15 11
6 10 8
11
9
13
8
12
6 9
4
7
9 12
7 6
9
4
4 10
8
6 1
0
12
7
9
7
7
10 9 4
12
11
3
UN
12
4
7
9
1
a. Find the median improvement score for the honey dosage group.
b. Find the median improvement score for the DM dosage group.
c. Find the median improvement score for the control group.
10
12 13
75
11
7 1
6
3
5
4
15
6
7
6
8
d. Based on the results form parts a to c, what conclusions can researchers draw?
e. Find the standard deviation of the improvement scores for the honey dosage group.
f. Find the standard deviation of the improvement scores for the DM dosage group.
g. Find the standard deviation of the improvement scores for the control group.
3
10
7
8
h. Based on the results form parts e to g, which group appears to have the most variability
in coughing improvement scores? The least variability? Explain.
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