Question

The result of 146 chemical reactions gave yields with a standard deviation of 4.864 mol.

What is the standard error of the mean?
Select one:
a. SE = 0.403 mol
b. SE = 0.015 mol
c. SE = 0.033 mol
d. SE = 0.162 mol
e. SE = 23.658 mol
f. SE = 4.864 mol

Answer 1

a. SE = 0.403 mol

Explanation:

The standard error of the mean, is the standard deviation of means of means.

It is calculated using,

`SE= ( \sigma)/( √(n) )`

We have the standard deviation to be

`\sigma = 4.864`

and the sample size is n=146.

We substitute the values to get:

`SE= (4.864)/( √(146) )`

`SE= 0.4025`

We approximate to three decimal places to get:

`SE= 0.403`