The distribution of the number of eggs laid by a certain species of hen during their breeding period is 35 eggs with a standard deviation of 18.2. suppose a group of researchers randomly samples 45 hens of this species, counts the number of eggs laid during their breeding period, and records the sample mean. they repeat this 1,000 times, and build a distribution of sample means. calculate the variability of this distribution and state the appropriate term used to refer to this value. round to three digits.