HW 3
Chapters 4 and 5 (from 3
rd
ed. of text)
1. 5.23. A certain assay for serum alanine aminotransferase (ALT) is rather imprecise. The
results of repeated assays of a single specimen follow a normal distribution with mean equal
to the ALT concentration for that specimen and standard deviation equal to 4 U/Li (as in
Exercise 4.40). Suppose a hospital lab measures many specimens every day, and specimens
with reported ALT values of 40 or more are flagged as “unusually high.”
If a patient's true ALT concentration is 35 U/Li find the probability that his specimen will be
flagged as
“unusually high”
a. if the reported value is the result of a single assay
b. Find the 99th percentile of this distribution.
c. if the reported value is the mean of three independent assays of the same specimen
2. 5.44. The heights of men in a certain population follow a normal distribution with mean 69.7
inches and standard deviation 2.8 inches.
a. If a man is chosen at random from the population, find the probability that he will be more
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 Fall '09
 Hendrix
 Normal Distribution, Standard Deviation, Normal probability plot, 2.8 inches, QQplot, 10second

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