Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
an experiment is set up to study the weights of 35 mice after they are injected with a drug. the population mean is 23.50 grams with a standard deviation of 3.40 grams.
the standard error of the sample mean is . (round off your answer to the nearest hundredth.)
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Explanation:

Step1: Recall the formula for standard error of the sample mean

The formula for the standard error of the sample mean ($SE$) is $SE = \frac{\sigma}{\sqrt{n}}$, where $\sigma$ is the population standard deviation and $n$ is the sample size.
Here, $\sigma = 3.40$ grams and $n = 35$.

Step2: Substitute the values into the formula

First, calculate $\sqrt{n}=\sqrt{35}\approx5.9161$.
Then, $SE=\frac{3.40}{\sqrt{35}}=\frac{3.40}{5.9161}\approx0.5747$.

Step3: Round to the nearest hundredth

Rounding $0.5747$ to the nearest hundredth gives $0.57$.

Answer:

0.57