A sample of 100 independent random numbers is taken from this distribution, and its average is used to estimate the mean of the distribution. What isthe standard error of this estimate?
1 answer:
Answer:
The standard error in estimating the mean = (0.1 × standard deviation of the distribution)
Step-by-step explanation:
The standard error of the mean, for a sample, σₓ is related to the standard deviation, σ, through the relation
σₓ = σ/(√n)
n = sample size = 100
σₓ = σ/(√100)
σₓ = (σ/10) = 0.1σ
Hence, the standard error in estimating the mean = (0.1 × standard deviation of the distribution)
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