Concept explainers
Dosage Calculations. In Exercises 21–26, use the data in the accompanying table, which lists the numbers of correct and wrong dosage amounts calculated by physicians. In a research experiment, one group of physicians was given bottles of epinephrine labeled with a concentration of “1 milligram in 1 milliliter solution,” and another group of physicians was given bottles labeled with a ratio of “1 milliliter of a 1:1000 rotation.” The two labels describe the exact same amount, and the physicians were instructed to administer 0.12 milligrams of epinephrine. The results were reported in The New York Times.
Correct Dosage Calculation | Wrong Dosage Calculation | |
Concentration Label (“1 milligram in 1 milliliter solution”) |
11 | 3 |
Ratio Label (“1 milliliter of a 1:1000 solution”) |
2 | 12 |
25. Which Group Did Better?
- a. For the physicians given the bottles labeled with a concentration, find the percentage of correct dosage calculations, then express it as a probability.
- b. For the physicians given the bottles labeled with a ratio, find the percentage of correct dosage calculations; then express it as a probability.
- c. Does it appear that either group did better? What does the result suggest about drug labels?
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Elementary Statistics
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