Question

A population has a mean μ=86 and a standard deviation σ=28. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=49.

Answer 1

We know that,

The sample mean is unbiased estimator of population mean.

Population mean = 86 so sample mean also 86.

And

Sample standard deviations=polulapopu standard deviations/ sqrt( n)

= 28/sqrt(49)

= 28/7

= 4

Sample mean =86 and

Sample standard deviation = 4