Suppose that we wish to test a claim that there is a difference between the components of certain matched pairs, and that a simple random sample of these matched pairs was taken.
Answer each of the following questions
(a) The claim is is given by
A. β=0
B. ρ=0
C. r=0
D. G=0
E. x=y
F. n1=n2
G. The median of the differences ≠0
H. The data are in an order that is not
random
I. The median of the differences =0
J. None of the above.
(b) The opposite of the claim is given by
A. n1≠n2
B. x≠y
C. ρ≠0
D. G≠0
E. Median ≠0
F. The data are in a random order
G. β≠0
H. The median of the differences ≠0
I. r≠0
J. The median of the differences =0
K. None of the above.
(c) If the differences between the components of the sample
matched pairs yield to 16 positive signs, 19 negative signs and 3
zeros, then the test statistic is
A. x=16.
B. z=2.341498585142509.
C. x=−16.
D. z=13.
E. z=−2.341498585142509.
F. x=35.
G. x=3.
H. z=−1.341498585142509.
I. z=1.341498585142509.
J. z=+0.338061701891407.
K. z=−0.338061701891407.
L. x=19.
M. None of the above.
Suppose that we wish to test a claim that there is a difference between the components...
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PROBLEM 4.1:
(3 points) Consider the application of DPCM to an image as suggested by the figure shown below.We will base our prediction of pixel A on pixels B and D.
Assume that the correlation between pixels is known and given by
ρAB = ρAD = ρ
ρBD = ρ
0
Following our discussion in class, what are the optimal fixed predictors (B, D) for this 2-D DPCM
systemPROBLEM 4.2:
(3 points) Consider the following 8 × 8 image x(n1,...
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