Question

Introduction to Probability and Statistics

Is honey a cough remedy?

Does a teaspoon of honey before bed really calm a child’s cough? To test the folk remedy, pediatric researchers carried out a designed study involving a sample of 105 children who were ill with an upper respiratory tract infection.

On the first night, parents rated their children’s cough symptoms on a scale from 0 (no problems at all) to 30 (extremely severe). On the second night, the parents were instructed to give their sick child a dosage of liquid “medicine” prior to bedtime.

Unknown to the parents,
• a first group: are given a dose of honey.
• a second group: are given a similar dosage of dextromethorphan (DM), i.e., cough medicine.
• a third group (the control group) gave their sick children no dosage at all.

Again, the parents rated their children’s cough symptoms, and the improvement in total cough symptoms score was determined for each child. The data (improvement scores) for the study is given below:

Honey Dosage: 12 11 15 11 10 13 10 4 15 16 9 14
10 6 10 8 11 12 12 8 12 9 11 15

10 15 9 13 8 12 10 8 9 5 12

DM Dosage: 4 6 9 4 7 7 7 9 12 10 11 6
3 4 9 12 7 6 8 12 12 4 12 13
7 10 13 9 4 4 10 15 9

No Dosage (Control): 5 8 6 1 0 8 12 8 7 7 1
6 7 7 12 7 9 7 9 5 11 9

5 6 8 8 6 7 10 9 4 8 7

3 1 4 3

Question: Use R to complete the following table:
Honey Dosage   DM Dosage   No Dosage (Control)
Mean          

Median          

Standard Deviation
          
Interquartile Range          

Answer 1