Question

IQ scores are normally distributed with a mean of 100 and a standard deviation of 16. Assume that many samples of size n are taken from a large population of people and the mean IQ score is computed for each sample. a. If the sample size is n=49, find the mean and standard deviation of the distribution of sample means. The mean of the distribution of sample mean is?

Answer 1

Solution :

Given that,

mean = = 100

standard deviation = = 16

n = 49

The mean of the distribution of sample mean is approximately normal

= = 100

= / n = 16 / 49 = 2.2857