Question

IQ scores are normally distributed with a mean of 105 and a standard deviation of 18 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=64, find the mean and standard deviation of the distribution of sample means The mean of the distribution of sample mean is_____

Answer 1

Explanation:

Given that IQ scores are normally distributed with a mean of 105 and a std deviation of 18.

By central limit theorem for large sample sizes randomly taken from a large population of people the sample mean x bar follows a normal distribution with mean = sample mean and std error = std dev/sqrt (n-1_

Using this we find mean of distribution of sample mean is 105 .