Mathematics: d. The Expected Value for the sum of the 100 draws is Tries 0/5 3e. The SD of the box is 1/2. What is the Standard Error of the sum of the 100 draws

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d. The Expected Value for the sum of the 100 draws

kianadomingo2806

05.02.2022

$\dfrac{1}{20}$ or 0.05

Step-by-step explanation:

Formula:

Standard error $=\dfrac{\sigma}{\sqrt{ n}}$

, where $\sigma$ = Standard deviation

n= Sample size.

Given: Standard deviation = $\dfrac12$

Sample size = 100

Standard error = $\dfrac{\dfrac12}{\sqrt{100}}$

$=\dfrac{1}{2\times10}=\dfrac{1}{20}=0.05$

Hence, the required Standard Error = $\dfrac{1}{20}$ or 0.05

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