85 Is honey a cough remedy? Refer to the Archives of Pediatrics and Adolescent Medicine (Dec. 2007) study of honey as a remedy for coughing, Exercise 62. The coughing improvement scores (saved in the HONEYCOUGH file) for the patients in the over-the-counter cough medicine dosage

(DM) group, honey dosage group, and control group are reproduced in the accompanying table.

a. Find the standard deviation of the improvement scores for the honey dosage group.

b. Find the standard deviation of the improvement scores for the DM dosage group.

c. Find the standard deviation of the improvement scores for the control group.

d. Based on the results, parts a–c , which group appears to have the most variability in coughing improvement scores? The least variability?

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Honey 12 11 15 11 10 13 10 4 15 16 Dosage: 14 10 6 10 8 11 12 12 8 12 11 15 10 15 9 13 8 12 10 8 666 5 12 DM 762 4 6 5651 Dosage: No Dosage (Control): 3 12 13 7 10 13 9 5 8 6 7 7 146 9 4 7 7 9 12 779 794 9 12 10 11 8 12 12 4 4 10 15 9 6 10 8 12 12 7 9 7 6886 7 10 9 894 7 7 1 5 11 9 8 7 3 1 4 3 Based on Paul, I. M., et al. "Effect of honey, dextromethorphan, and no treatment on nocturnal cough and sleep quality for coughing children and their parents." Archives of Pediatrics and Adolescent Medicine, Vol. 161, No. 12, Dec. 2007 (data simulated).