Question

11. 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 1

Answer: The standard error of the sample mean = 0.44

Step-by-step explanation:

Standard error of the sample mean = $\dfrac{\sigma}{\sqrt{n}}$ , where $\sigma$ = population standard deviation , n= sample size.

Given : n= 45 , $\sigma= 2.96$ grams

The e standard error of the sample mean $=\dfrac{2.96}{\sqrt{45}}$

$=\dfrac{2.96}{6.7082039325}\\\\\approx\ 0.44$

Hence, the standard error of the sample mean = 0.44