Question

A random sample of 225 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.6 ounces. Find the standard error of the mean.

Answer 1

Solution :

Given that ,

mean = = 4

standard deviation = = 0.6

n = 225

sample distribution of sample mean is ,

=

= 4

sampling distribution of standard deviation

=  / n = 0.6/ 225=0.04

STANADRAD ERROR= = 0.04