Answer to Question #282719 in Statistics and Probability for Abdiqadir Mohamed

Question

Calculate the mean for the population data. Select one random sample of size three and calculate the sample mean Compute the sampling error?

Answer 1

Solution:

Data is missing. We assume a population consists of three numbers 2, 5, 8.

Population mean = (2+5+8)/3=15/3 = 5.

All possible samples of size 2:{(2,5), (2,8), (5,8)}.

Sample means for these samples: 3.5, 5, 6.5.

Mean of the sample means: (3.5+5+6.5)/3=5.

So, the sample mean is an unbiased estimate of the population mean.

Sampling error=Population mean - sample mean

= 5-5

= 0