A sample of 30 latest returns on UTI stock reveals a mean return of $4 with a sample standard deviation of $0.13. The estimated standard error of the sample mean is:

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SSC CGL Tier-II ( JSO ) 2019 Official Paper ( Held On : 17 Nov 2020 )
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  1. $0.55
  2. $0.02
  3. $0.34
  4. $0.22

Answer (Detailed Solution Below)

Option 2 : $0.02
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Detailed Solution

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Given

n = sample size = 30

σ = standard deviation = 0.13

Formula

The standard error of the sample mean = σ/√n

Calculation

Standard error of the sample mean = 0.13/√30

The standard error of sample mean is 0.02

 

The mean of the sampling distribution of means μ = μ

The variance of sampling with replacement σ2 = σ2/n

The standard deviation of mean with rreplacement = σ/√n or S/√n

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