Suppose you take five random samples of 20 people from the same population and calculate each sample mean. Which of the following shows a true statement about the sample means?(1 point) Responses The sample means will all be identical. The sample means will all be identical. The sample means will all be equal to the population mean. The sample means will all be equal to the population mean. The sample means will vary around the population mean. The sample means will vary around the population mean. The sample means will all be different.
1 answer
The correct statement about the sample means is:
The sample means will vary around the population mean.
In reality, when you take random samples from a population, the sample means will generally differ from one another due to sampling variability, but they will cluster around the true population mean. While they won't all be identical or equal, they will tend to be centered around the population mean.
