Q.2 - The Practice of Statistics for AP

Question

 The weights (in pounds) of three adult males are $160,215 and 195$ . The standard error of the mean of these three weights is

(a) $190$

(b) $27.84$

(c) $22.73$

(d) $16.07$

(e) $13.13$

Step-by-Step Solution

Answer

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

Step-1 Given Information

Given In the question that , The weights of three adult males are $160,215,and 195$ we have to find the correct option.

Step-2 Explanation

The formula to compute the standard error of mean is:

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

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:

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

                                   $=\frac{22.73}{\sqrt{3}}$

                                    $=13.13$

Hence, the correct option is (e)