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.)

Answer 1

The standard error of the sample mean is 0.57.

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.

`n=35`

`\mu=23.50`

`\sigma=3.40`

The formula for standard error of the sample mean is

`S.E.=(\sigma)/(√(n))`

`S.E.=(3.40)/(√(35))`

`S.E.=0.5747`

`S.E.\approx 0.57`

Therefore the standard error of the sample mean is 0.57.