normally distributed sample means: mastery test\n1\ntype the correct answer in the box. use numerals instead…

normally distributed sample means: mastery test\n1\ntype the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.\nthe mean of a population being sampled is 64, and the standard deviation is 6.\nif the sample size is 50, the standard error of the mean is. (round off your answer to the nearest hundredth.)
Answer
Explanation:
Step1: Recall the formula
The formula for the standard error of the mean is $\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}$, where $\sigma$ is the population standard - deviation and $n$ is the sample size.
Step2: Substitute the given values
We are given that $\sigma = 6$ and $n = 50$. So, $\sigma_{\bar{x}}=\frac{6}{\sqrt{50}}$.
Step3: Calculate the value
$\sqrt{50}\approx7.071$, then $\frac{6}{7.071}\approx0.85$.
Answer:
0.85