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

Answer:

The appropriate answer is "256".

Step-by-step explanation:

Given:

Standard error,

SE = 128.13

Standard deviation,

$\sigma$ = $2050

As we know,

⇒ $SE = \frac{\sigma}{\sqrt{n} }$

or,

⇒ $\sqrt{n}= \frac{\sigma}{SE}$

By substituting the values, we get

         $=\frac{2050}{128.13}$

         $=\frac{205000}{12813}$

     $n = (\frac{205000}{12813} )^2$

         $=255.98$

or,

         $=256$