Question

The weights (in pounds) of three adult males are $160,215and195$. The standard error of the mean of these three weights is

(a) $190$

(b) $27.84$

(c) $22.73$

(d) $16.07$

(e)$13.13$

Short answer

(e) The standard error of mean is$13.13$

Step-by-step solution

Step-1 Given Information

Given In the question that , The weights of three adult males are $160,215,and195$we have to find the correct option.

Step-2 Explanation

The formula to compute the standard error of mean is:

$S\tan darderro{r}_{Mean}=\frac{\sigma }{\sqrt{n}}$

The values of mean and standard deviation using Ti-83 calculator could be calculated as:

From the above output, the standard deviation $=22.73$and sample size $=3$

The standard error of the mean is calculated as follows:

$S\tan darderro{r}_{Mean}=\frac{\sigma }{\sqrt{n}}$

localid="1649222387632" $=\frac{22.73}{\sqrt{3}}$

$=13.13$

Hence, the correct option is (e)