Consider an infinite population with a mean of 100 and a standard deviation of 20.A random sample of size 64 is taken from this population.The standard deviation of the sample mean equals 2.50.

Question

Quizplus · Accepted Answer

This statement is true according to the Central Limit Theorem, which states that for a large enough sample size (n≥30), the sampling distribution of the sample mean will be approximately normal, with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size (20/√64 = 2.50 in this case). Therefore, the statement is true.

Consider an Infinite Population with a Mean of 100 and a Standard