Consider 3 box models as follows, where the draws are made with replacement, and the sum of the draws is calculated.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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
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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