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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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Chapter 4 Solutions
Elementary Statistics with MyStatLab Access Code [With CDROM]
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- 38. Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities .15, .35, .35, and .15, respectively. a. Calculate E(X) and then E(5 - X).b. Would the repair facility be better off charging a flat fee of $75 or else the amount $[150/(5 - X)]? [Note: It is not generally true that E(c/Y) = c/E(Y).]arrow_forward74. The proportions of blood phenotypes in the U.S. popula- tion are as follows:A B AB O .40 .11 .04 .45 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? What is the probability that the phenotypes of two randomly selected individuals match?arrow_forward53. A certain shop repairs both audio and video compo- nents. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A) = .6 and P(B) = .05. What is P(BA)?arrow_forward
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