A. SE1 = SE2 = SE3 B. SE1 = 2SE2 = 10SE3 C. SE2 = 2SE1, SE3 = 10SE1 D. SE2 = 4SE1, SE3 = 100SE1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Question

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
  • BoxModel2: 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?

Group of answer choices

A. SE1 = SE2 = SE3

B. SE1 = 2SE2 = 10SE3

C. SE2 = 2SE1, SE3 = 10SE1

D. SE2 = 4SE1, SE3 = 100SE1

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