Question

. You have drawn a simple random sample of 100 sociology majors for your senior research project. When reporting your sample data, can you also estimate population parameters? Explain/justify your answer.

Answer 1

We can estimate the population parameters as follows:

n = Sample Size

Let x_i , (i = 1 to 500) be the values of the sample of 500 sociology majors of our senior research project.

Calculate:

Sample mean ($\bar{x}$)

and

Sample Standard Deviation (s)

from the sample values.

The point estimate of population mean $(\sigma )$ is the sample mean $(\bar{x} )$.

The confidence Interval for population mean $(\sigma )$ is given by:

$(\bar{x} )\pm Z_{\alpha /2} \times SE$,

where

$\alpha$ is significance level and SE is the Standard Error.