Compare the three distributions in terms of skewness, center, and spread.      Is there any outlier for Cimetidine group per the 1.5 × IQR rule. Show your calculations

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Compare the three distributions in terms of skewness, center, and spread. 
 
 
Is there any outlier for Cimetidine group per the 1.5 × IQR rule. Show your calculations
 
 
 
 
 
 
 
 
 
The interactions between theophylline and two other drugs (famotidine and cimetidine) were studied in fourteen patients with chronic obstructive pulmonary disease. Of particular interest were the pharmacokinetics of theophylline when it was being taken simultaneously with each drug. The study was conducted in three periods:
one with theophylline and placebo, a second with theophylline and famotidine, and the third with theophylline and cimetidine. One outcome of interest is the clearance of theophylline (liters/hour).
Subject Cimetidine Famotidine Placebo
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Mean
Standard
deviation
min
Q1
Interacting Drug
Q3
3.69
3.61
1.15
4.02
1.00
1.75
1.45
2.59
1.57
2.34
1.31
2.43
2.33
2.34
2.26
0.97
1.00
1.42
median 2.34
2.85
max 4.02
5.13
7.04
1.46
4.44
1.15
2.11
2.12
3.25
2.11
5.2
1.98
2.38
3.53
2.33
3.16
1.70
1.15
2.08
2.36
4.61
7.04
5.88
5.89
1.46
4.05
1.09
2.59
1.69
3.16
2.06
4.59
2.08
2.61
3.42
2.54
3.08
1.53
1.09
1.97
2.60
4.19
5.89
Create side-by-side boxplots of the three drugs and mark down the sample means on the plots.
Transcribed Image Text:The interactions between theophylline and two other drugs (famotidine and cimetidine) were studied in fourteen patients with chronic obstructive pulmonary disease. Of particular interest were the pharmacokinetics of theophylline when it was being taken simultaneously with each drug. The study was conducted in three periods: one with theophylline and placebo, a second with theophylline and famotidine, and the third with theophylline and cimetidine. One outcome of interest is the clearance of theophylline (liters/hour). Subject Cimetidine Famotidine Placebo 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Mean Standard deviation min Q1 Interacting Drug Q3 3.69 3.61 1.15 4.02 1.00 1.75 1.45 2.59 1.57 2.34 1.31 2.43 2.33 2.34 2.26 0.97 1.00 1.42 median 2.34 2.85 max 4.02 5.13 7.04 1.46 4.44 1.15 2.11 2.12 3.25 2.11 5.2 1.98 2.38 3.53 2.33 3.16 1.70 1.15 2.08 2.36 4.61 7.04 5.88 5.89 1.46 4.05 1.09 2.59 1.69 3.16 2.06 4.59 2.08 2.61 3.42 2.54 3.08 1.53 1.09 1.97 2.60 4.19 5.89 Create side-by-side boxplots of the three drugs and mark down the sample means on the plots.
Expert Solution
Introduction

Box plot is the visual representation of the data set. It helps to understand the shape, spread and skewness of the data set. It is calculated by the five number summary values. Five number summary includes the minimum value, maximum value, median, first quartile and third quartile. 

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