Question

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 14 respectively. The standard error of the mean is

Answer 1

1.4

Explanation:

The formula for calculating the standard error of the mean is expressed as shown below;

Standard error =
`(\sigma)/(√(n) )`

`\sigma` is the standard deviation and n is the sample size.

Given
`\sigma` = 14 and n = 100

Substituting this values into the formula fr calculating the standard error of the mean;

`SE = (14)/(√(100) ) \\\\SE = (14)/(10) \\\\SE = 1.4`

Hence, standard error of the mean is 1.4