Question

A study of commuting times reports the travel times to work of a random sample of 1010 employed adults in Chicago. The mean is x = 53.0 minutes and the standard deviation is s = 53.9 minutes. What is the standard error of the mean? (Round your answer to four decimal places.)

Answer 1

standard error of the mean = 1.6960

Explanation:

Given -

Mean
`(\overline{X})` = 53 minutes

Standard deviation ( s ) = 53.9 minutes

n = 1010

standard error of the mean =

`\sigma _{\overline{X}}` =
`(s)/(√(n))`

=
`(53.9)/(√(1010))`

= 1.6960