Question

The mean of birth weights for individual babies in the population is 3,500 grams. What is the mean birth weight for the sampling distribution for samples of 100 babies?

Answer 1

Answer:

The mean birth weight for the sampling distribution is

3,500 grams.

Step-by-step explanation:

The sample mean is the average of the sample values collected divided by the number of the samples, while the population mean is the average or mean of all the values in the population.  If the sample is random and the sample size is large enough, then the sample mean would be a good estimator of the population mean.  This implies that with a randomly distributed and unbiased sample size, the sample mean and population mean will be equal, according to the central limit theorem. Therefore, the mean of the sample means will always approximate the population mean.