The Analysis of Biological Data
2nd Edition
ISBN: 9781936221486
Author: Michael C. Whitlock, Dolph Schluter
Publisher: W. H. Freeman
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Chapter 4, Problem 15AP
a)
To determine
To calculate the standard error for men and women.
b)
To determine
To explain whether the standard error or the standard deviation describes the dispersion better.
c)
To determine
To explain whether the standard error or the standard deviation describes the uncertainty among the estimated mean.
d)
To determine
To explain the discrepancy among the mean number of sexual partners between men and women.
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==
4. [10] Let X be a RV. Suppose that E[X(X-1)] = 3 and E(X) = 2.
(a) Find E[(4-2X)²].
(b) Find V(-3x+1).
2. [15] Let X and Y be two discrete RVs whose joint PMF is given by the following table:
y
Px,y(x, y)
-1
1
3
0
0.1
0.04
0.02
I
2
0.08
0.2
0.06
4
0.06
0.14
0.30
(a) Find P(X ≥ 2, Y < 1).
(b) Find P(X ≤Y - 1).
(c) Find the marginal PMFs of X and Y.
(d) Are X and Y independent? Explain
(e) Find E(XY) and Cov(X, Y).
32. Consider a normally distributed population with mean μ = 80
and standard deviation σ = 14.
a.
Construct the centerline and the upper and lower control
limits for the chart if samples of size 5 are used.
b. Repeat the analysis with samples of size 10.
2080 101
c. Discuss the effect of the sample size on the control limits.
Chapter 4 Solutions
The Analysis of Biological Data
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