Pediatric researchers carried out a study on various options for treating a child's cough. A sample of 120 children who were ill with an upper respiratory tract infection and their parents participated in the study. On the first day, a total symptoms score in points was measured for each child (higher indicating worse symptoms). That night 40 randomly selected children received dextromethorphan (DM, over-the-counter cough medicine), another 40 randomly selected children received a dosage of honey, and the remaining 40 were given no dosage at all. On the second day, the total symptoms score in points was measured again for each child and the improvement score was computed (improvement = day 1 score - day 2 score).
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Do question 3
![Pediatric researchers carried out a study on various options for treating a child's cough. A
sample of 120 children who were ill with an upper respiratory tract infection and their
parents participated in the study. On the first day, a total symptoms score in points was
measured for each child (higher indicating worse symptoms). That night 40 randomly
selected children received dextromethorphan (DM, over-the-counter cough medicine),
another 40 randomly selected children received a dosage of honey, and the remaining 40
were given no dosage at all. On the second day, the total symptoms score in points was
measured again for each child and the improvement score was computed (improvement
%3D
day 1 score - day 2 score).
1. This study is [ Select ]
2. For this study, the variable improvement score is
[ Select ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10de40d4-0dd7-45fd-9d14-c5a48cbfeb71%2F74ad25c4-0f07-4175-9a42-434f465f3dd1%2Fnugwikh_processed.png&w=3840&q=75)
![Boxplots of Improvement Scores by Group
DM
Group
The provided boxplots compare the improvement scores for the 40 children in each group.
Use these boxplots to answer the following three questions.
3. About 25% of the children in the control group (C) had an improvement score of
at most [ Select ]
points.
4. For children in the honey group (H), the least improvement was about
[ Select ]
points.
5. For this study, approximately how many of the children in the DM group had
improvement scores between 9 and 11 points?
[ Select ]
Improvement Score
15](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10de40d4-0dd7-45fd-9d14-c5a48cbfeb71%2F74ad25c4-0f07-4175-9a42-434f465f3dd1%2Fpzi6yon_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Box plots show to what extent the extreme values are from most of the data which consists of the five values given by the minimum value, the first quartile, the median, the third quartile, and the maximum value.
The smallest and largest data values label of the boxplot is given by the endpoints whereas the first quartile marks one end of the box and the third quartile marks the other end of the box. And the median falls inside the box which is denoted by a line through it.
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