Question

Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.5 years with a standard deviation of 0.7 years. Step 2 of 2 : If a sampling distribution is created using samples of the ages at which 43 children begin reading, what would be the standard deviation of the sampling distribution of sample means

Answer 1

`S.E = 0.108`

Explanation:

From the question we are told that:

Mean age
`\=x=5.5`

standard deviation
`\sigma= 0.7 years.`

Sample size
`n=43`

Generally the equation for Standard error is mathematically given by

`S.E= \sigma \bar x`

`S.E= (\sigma)/(\sqrt n)`

`S.E= (0.7)/(\sqrt 43)`

`S.E = 0.108`