Question

variation in predictions and estimates
assignment active
comparing sample means
will all random samples from a given population have the
same mean? provide an explanation with your answer.

Explanation:

Random samples are subsets of a population selected by chance, so each sample will contain different individual values from the population. Since the sample mean is calculated as the average of the values in the sample, different sets of values will lead to different sample means. This variation is due to sampling variability, a core concept in statistics where random samples from the same population naturally differ.

Answer:

No, all random samples from a given population will not have the same mean. Random samples include different combinations of elements from the population, so the average (mean) of each sample will vary due to sampling variability.