According to the central limit theorem, for samples of size 169 drawn from a population with µ = 1,014 and σ = 65, the mean of the sample means would equal ___.
A)1,014
B)65
C)5
D)6
E)3

Question

Quizplus · Accepted Answer

The central limit theorem states that as the sample size increases, the distribution of sample means will approach a normal distribution, regardless of the shape of the original population. Additionally, the mean of the distribution of sample means will be equal to the population mean (µ). Therefore, for samples of size 169 drawn from a population with µ = 1,014, the mean of the sample means would also equal 1,014. The standard error of the distribution of sample means can be calculated as σ/√n, which in this case would be 65/√169 = 5.

According to the Central Limit Theorem, for Samples of Size