type the correct answer in the box. use numerals instead of words. an experiment is set up to study the…

type the correct answer in the box. use numerals instead of words. an experiment is set up to study the weights of 45 frogs after they are given a hormone treatment. the population mean is 22.70 grams with a standard deviation of 2.96 grams. what is the standard error of the sample mean? round your answer to the nearest hundredth. the standard error of the sample mean is approximately

type the correct answer in the box. use numerals instead of words. an experiment is set up to study the weights of 45 frogs after they are given a hormone treatment. the population mean is 22.70 grams with a standard deviation of 2.96 grams. what is the standard error of the sample mean? round your answer to the nearest hundredth. the standard error of the sample mean is approximately

Answer

Answer:

0.44

Explanation:

Step1: Recall the formula

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

Step2: Identify the values

We are given that $\sigma = 2.96$ grams and $n = 45$.

Step3: Calculate

$\sigma_{\bar{x}}=\frac{2.96}{\sqrt{45}}\approx\frac{2.96}{6.7082}\approx0.44$.