IQ scores are normally distributed with a mean of 105

and a standard deviation of 17

.

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 standard deviation of the distribution of sample means is

.

( integer or decimal rounded to the nearest tenth as needed.