Consider 3 box models as follows, where the draws are made with replacement, and the sum of the draws is calculated.
Consider 3 box models as follows, where the draws are made with replacement, and the sum of the draws is calculated.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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
Transcribed Image Text:Consider 3 box models as follows,
where the draws are made with
replacement, and the sum of the
draws is calculated.
• BoxModel1: 100 draws from the box with
1, 2, 3, 4, 5
.BoxModel 2: 100 draws from the box with
2, 4, 6, 8, 10
BoxModel3: 10,000 draws from the box
with 1, 2, 3, 4, 5
Denote the standard error (SE) for
the sum of draws of the 3 models by
SE₁, SE2 and SE3 respectively.
Which of the following statements is
TRUE?
SE₁ = SE2 = SE3
SE2 = 4SE₁, SE3 = 100SE₁
SE₁ = 2SE2 = 10SE3
SE2= 2SE₁, SE3 = 10SE₁
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