Recall that the 105 ill children in the sample were randomly divided into three groups: those who received a dosage of an over-the-counter cough medicine (DM), those who received a dosage of honey (H), and those who received no dosage (control group). The coughing improvement scores (as determined by the children's parents) for the patients are reproduced in the accompanying table.
For Information: Refer to the Archives of Pediatrics and Adolescent Medicine (Dec. 2007) study of honey as a remedy for coughing, Exercise 2.30 (p. 61).
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, parts a-c, what conclusions can pediatric researchers draw? (We show how to support these conclusions with a measure of reliability in subsequent chapters.)

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Honey 15 11 10 13 10 4 15 16 9 14 Dosage: 10 6 10 8 1 12 12 8 12 911 15 10 15 9 13 8 12 10 89 5 12 DM Dosage: 4 6 9 47779 12 10 11 6 3 4 912 7 6 8 12 12 4 12 13 7 10 13 9 4 4 10 15 9 No Dosage 5 8 6 1 0 8 12 8 7 7 16 7 7 12 (Control): 7 97 9 5 11 9 5 6 8 2 8 6 7 10 9 4 87 3 14 3