3. A research assistant is asked to draw two independent normally distributed samples. The first sample, X has a 10 observations with a mean of 1 and sample variance of 2. The second sample, Y has 20 observations with a mean of 0.5 and a sample variance of 3. Test the following hypotheses: (a) X = Y (b) X >Y (c) Var(X) Var(Y) %3D

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Chapter1: Combinatorial Analysis
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3. A research assistant is asked to draw two independent normally distributed samples. The first sample,
X has a 10 observations with a mean of 1 and sample variance of 2. The second sample, Y has 20
observations with a mean of 0.5 and a sample variance of 3. Test the following hypotheses:
(a) X = Ý
(b) X > Y
(c) Var(X) Var(Y)
%3D
(d) Var(X) = 1.5
(e) Var(Y) = 2.5
%3D
Transcribed Image Text:3. A research assistant is asked to draw two independent normally distributed samples. The first sample, X has a 10 observations with a mean of 1 and sample variance of 2. The second sample, Y has 20 observations with a mean of 0.5 and a sample variance of 3. Test the following hypotheses: (a) X = Ý (b) X > Y (c) Var(X) Var(Y) %3D (d) Var(X) = 1.5 (e) Var(Y) = 2.5 %3D
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