A sample of 100 independent random numbers is taken from this distribution, and its average is used to estimate the mean of the

Question

2 years ago

11

distribution. What isthe standard error of this estimate?

1 answer:

Mariulka [41] · Answer 1 · 2022-03-29T00:17:06+03:00

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)