Question

An SRS of size 20 is drawn from a population that has a normal distribution. The sample has a mean of 122.5 and a standard deviation of 8. Give the standard error of the mean:______

Answer 1

The value is
`\sigma_(\= x) = 1.789`

Explanation:

From the question we are told that

The sample size is n = 20

The sample mean is
`\= x = 122.5`

The standard deviation is
`s = 8`

Generally the standard error of the mean is mathematically represented as

`\sigma_(\= x) = (s)/(√(n) )`

=>
`\sigma_(\= x) = (8)/(√(20 ) )`

=>
`\sigma_(\= x) = 1.789`