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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JeanaShupp JeanaShupp · Answer 1 · 2020-10-25T02:29:33+01:00

Answer: [tex]\dfrac{1}{20}[/tex] or 0.05

Step-by-step explanation:

Formula:

Standard error [tex]=\dfrac{\sigma}{\sqrt{ n}}[/tex]

, where [tex]\sigma[/tex] = Standard deviation

n= Sample size.

Given: Standard deviation = [tex]\dfrac12[/tex]

Sample size = 100

Standard error = [tex]\dfrac{\dfrac12}{\sqrt{100}}[/tex]

[tex]=\dfrac{1}{2\times10}=\dfrac{1}{20}=0.05[/tex]

Hence, the required Standard Error = [tex]\dfrac{1}{20}[/tex] or 0.05

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ashishdwivedilVT ashishdwivedilVT · Answer 2 · 2022-03-26T06:08:01+01:00

The Standard Error of the sum of the 100 draws is 0.05.

It is given that,

The standard deviation of the box σ = 1/2

Number of draws n = 100

The standard error formula with standard deviation σ and number of trials n is σ/√n.

So, standard error SE of the sum of 100 draws,

[tex]SE = \sigma/\sqrt{n}[/tex]

SE = [tex]\frac{1}{2} /\sqrt{100}[/tex]

SE = [tex]\frac{1}{20}[/tex] = 0.05

Therefore, the Standard Error of the sum of the 100 draws is 0.05.

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