KuanJui, Su (Ray Su) Biostatistics and Bioinformatics 2016
Homework 10 6080 Students
13.1 1, 2, 3, 7, 8
13.2 12, 13, 15
1. What conclusion would be appropriate for an upper-tailed chi-squared test in each of the
following situations?
a. =0.05 , df=4, 2=12

11.1 3, 4, 5, 6, 9 (Math 6080 students, 10 as well)
11.2 11, 12, 13, 14, 15, 19
Working with real data
3. In a study to assess the effects of malaria infection on mosquito hosts (Plasmodium
cynomolgi: Effects of Malaria Infection on Laboratory Flight Perf

9.1 2, 3, 10
9.2 15, 19, 30, 31, 32
9.3 39, 44
9.4 48, 54, 55
2. For the following pairs of assertions, indicate which do not comply with our rules for setting
up hypotheses and why (the subscripts 1 and 2 differentiate between quantities for two
differen

9.5 62, 63, 64, 67
10.1 1, 5, 7, 9
10.2 24, 25, 27, 29
62. For a random sample of n individuals taking a licensing exam, let X i=1 if the ith
individual in the sample passes the exam and X i=0 otherwise (i = 1, n).
a. With p denoting the proportion of all

10.3 41, 43, 44, 45
10.4 49, 51, 54, 55
10.5 60, 61, 64, 65
41. Shoveling is not exactly a high-tech activity, but will continue to be a required task even in
our information age. The article A Shovel with a Perforated Blade Reduces Energy
Expenditure Req

7.3 33, 34, 35, 37, 41
Additional problem
33. Components of a certain type are shipped in batches of size k. Suppose that whether or
not any particular component is satisfactory is independent of the condition of any other
component, and that the long run

8.1 1, 3, 5, 7, 10
8.2 13, 16, 17, 19
8.5 29, 31, 33
1.Consider a normal population distribution with the value of s known.
a. What is the confidence level for the interval X 2.81 / n ?
z =2.81 0.0025=1 1 =0.995 99.5% CI.
1
2
2
b. What is the confidence l

7.1 3, 9, 10, 15, 17
7.2 21, 23, 25, 29
Additional problem
3. Consider the following sample of observations on coating thickness for low-viscosity paint
(Achieving a Target Value for a Manufacturing Process: A Case Study, J. Qual. Technol., 1992:
2226):
.

7.4 42, 43, 44, 45
42. Assume that the number of defects in a car has a Poisson distribution with parameter
. To estimate we obtain the random sample X 1 , X 2 , , X n .
a. Find the Fisher information in a single observation using two methods.
x e
(
)
(

6.4 48, 50(ab), 51, 54, 64(abde)
8.3 35, 38, 41, 43
8.4 44, 45, 47
8.5 49, 51
2
v
approaches 1 as n becomes large.
v
48. Apply the Law of Large Numbers to show that
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Law of Large Numbers. When X as the number of observations become large.
2