Question

An just finished taking statistics, and wants to do a survey on the average salary of Spring 2019 HCC graduates. She calculates that the standard error of the mean is $128.13 after she surveyed a group of students who reported an annual income of $43,650 and she knows the population standard deviation is $2,050, how many students were randomly sampled by An?

Answer 1

The appropriate answer is "256".

Explanation:

Given:

Standard error,

SE = 128.13

Standard deviation,

`\sigma` = $2050

As we know,

⇒
`SE = (\sigma)/(√(n) )`

or,

⇒
`√(n)= (\sigma)/(SE)`

By substituting the values, we get

`=(2050)/(128.13)`

`=(205000)/(12813)`

`n = ((205000)/(12813) )^2`

`=255.98`

or,

`=256`