Question

No file, guessing, or random answersa population has a standard deviation of 20.2. what is the standard error of the sampling distribution if the sample size is 121? round your answer to two decimal places.A) 1.84B) 1.44C) 1.55D) 1.68

Answer 1

Given:

standard deviation = 20.2

sample size = 121

The formula for standard error of sampling distribution is:

$\begin{gathered} SE\text{ =}\frac{\sigma}{\sqrt{n}} \\ Where\text{ }\sigma\text{ is the standard deviation} \\ n\text{ is the sample size} \end{gathered}$

Substituting the given values:

$\begin{gathered} SE\text{ = }\frac{20.2}{\sqrt{121}} \\ =\text{ 1.83636} \\ \approx\text{ 1.84} \end{gathered}$

Answer: 1.84 (Option A)