Question

select the correct answer. a population has a standard deviation of 7.89. what is the approximate standard error of the mean for a sample size of 300? a. 0.026 b. 2.20 c. 0.46 d. 17.32

Explanation:

Step1: Recall the formula

The formula for the standard error of the mean ($SE$) is $SE=\frac{\sigma}{\sqrt{n}}$, where $\sigma$ is the population standard - deviation and $n$ is the sample size.

Step2: Substitute the given values

We are given that $\sigma = 7.89$ and $n = 300$. So, $SE=\frac{7.89}{\sqrt{300}}$.

Step3: Calculate $\sqrt{300}$

$\sqrt{300}\approx17.32$.

Step4: Calculate the standard error

$SE=\frac{7.89}{17.32}\approx0.46$.

Answer:

C. 0.46