Question

It is believed that the IQs of people follow a normal distribution with a mean of 100 points and a variance of 256 squared points. If many random samples of 100 persons are selected, (a) what would be the standard deviation of the sample mean IQ scores?

Answer 1

The standard deviation of the sample mean IQ scores is 1.6 points.

Step-by-step explanation:

To calculate the standard deviation of the sample mean IQ scores, we can use the formula √(variance / sample size). In this case, the variance is 256 squared points and the sample size is 100. Plugging in these values, we get √(256/100)=√2.56=1.6. Therefore, the standard deviation of the sample mean IQ scores is 1.6 points.