Problem

Chinese herbal drugs. Platelet-activating factor (PAF) is a potent chemical that occurs in...

Chinese herbal drugs. Platelet-activating factor (PAF) is a potent chemical that occurs in patients suffering from shock, inflammation, hypotension, respiratory, or cardiovascular disorders. A bioassay was undertaken to investigate the potential of 17 traditional Chinese herbal drugs in PAF inhibition. (Progress in Natural Science, June 1995.) The prevention of the PAF binding process, measured as a percentage, for each drug is provided in the accompanying table.

PAF

Drug

PAF Inhibition (%)

Hai-feng-teng (Fuji)

77

Hai-feng-teng (Japan)

33

Shan-ju

75

Zhang-yiz-hu-jiao

62

Shi-nan-teng

70

Huang-hua-hu-jiao

12

Hua-nan-hu-jiao

0

Xiao-yie-pa-ai-xiang

0

Mao-ju

0

Jia-ju

15

Xie-yie-ju

25

Da-yie-ju

0

Bian-yie-hu-jiao

9

Bi-bo

24

Duo-mai-hu-jiao

40

Yan-sen

0

Jiao-guo-hu-jiao

31

Source: Guiqiu, H. “PAF receptor antagonistic principles from Chinese traditional drugs.” Progress in Natural Science, Vol. 5, No. 3, June 1995, p. 301 (Table 1).

a. Construct a stem-and-leaf display of the data.


b. Compute the mean, median, and mode of the inhibition percentages for the 17 herbal drugs. Interpret the results.


c. Locate the median, mean, and mode on the stem-and-leaf display you constructed in part a. Do these measures of central tendency appear to locate the center of the data?


d. Compute the range, variance, and standard deviation for the inhibition percentages.


e. Form an interval that is highly likely to capture the inhibition percentage of a Chinese herbal drug.

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