-) Construct a 100(1-a)% confidence interval for μx-μy. () Suppose that c= 5, d = 6 and m = n, and the following independent randor samples of X and Y are observed. X Y X Y X Y X Y 10.5 14.76 8 12.48 9.3 19.78 7.5 11.74 10.7 14.77 10.1 19.8 12.96 9.62 6.12 11.62

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Let {X₁, X2,...,xn) and (Y₁, Y2...., Ym} be independent random samples from n(ux, o) and
n(μy, o) respectively. Furthermore, it is known that co= do?, with o,and o are
unknown parameters, and c, and d are known constants.
(a) Construct a 100(1-a) % confidence interval for μx - Hy.
(b)
Suppose that c = 5, d = 6 and m = n, and the following independent random
samples of X and Y are observed.
X
Y
X
Y
X
Y
X
Y
10.5
14.76
8
12.48
9.3
19.78
7.5
11.74
10.7
14.77
10.1
19.8
12.96
9.62
6.12
11.62
9.81
19.67
8.63
13.85 10.61 14.09 8.32
12.78
10.08
15.3
Assume that the maximum error = 0.5 for the 95% confidence interval needs to be
achieved. Is the sample size large enough? If not, find the least sample size of m = n.
Transcribed Image Text:Let {X₁, X2,...,xn) and (Y₁, Y2...., Ym} be independent random samples from n(ux, o) and n(μy, o) respectively. Furthermore, it is known that co= do?, with o,and o are unknown parameters, and c, and d are known constants. (a) Construct a 100(1-a) % confidence interval for μx - Hy. (b) Suppose that c = 5, d = 6 and m = n, and the following independent random samples of X and Y are observed. X Y X Y X Y X Y 10.5 14.76 8 12.48 9.3 19.78 7.5 11.74 10.7 14.77 10.1 19.8 12.96 9.62 6.12 11.62 9.81 19.67 8.63 13.85 10.61 14.09 8.32 12.78 10.08 15.3 Assume that the maximum error = 0.5 for the 95% confidence interval needs to be achieved. Is the sample size large enough? If not, find the least sample size of m = n.
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