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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Answer:

The standard error of the sample mean is 0.57.

Step-by-step explanation:

It is given that the 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.

[tex]n=35[/tex]

[tex]\mu=23.50[/tex]

[tex]\sigma=3.40[/tex]

The formula for standard error of the sample mean is

[tex]S.E.=\frac{\sigma}{\sqrt{n}}[/tex]

[tex]S.E.=\frac{3.40}{\sqrt{35}}[/tex]

[tex]S.E.=0.5747[/tex]

[tex]S.E.\approx 0.57[/tex]

Therefore the standard error of the sample mean is 0.57.