Question

a group of adult males has foot lengths with a mean of 26.71 cm and a standard deviation of 1.42 cm. use the range rule of thumb for identifying significant values to identify the limits separating values that are significantly low or significantly high. is the adult male foot length of 23.6 cm significantly low or significantly high? explain.
significantly low values are cm or lower. (type an integer or a decimal. do not round.)

Explanation:

Step1: Recall range - rule - of - thumb

The range - rule - of - thumb for significant values: significantly low values are $\mu - 2\sigma$ or lower, and significantly high values are $\mu+2\sigma$ or higher, where $\mu$ is the mean and $\sigma$ is the standard deviation.
Given $\mu = 26.71$ cm and $\sigma=1.42$ cm.

Step2: Calculate the lower limit for significantly low values

We use the formula $\mu - 2\sigma$.
Substitute the values of $\mu$ and $\sigma$ into the formula: $26.71-2\times1.42$.
First, calculate $2\times1.42 = 2.84$.
Then, $26.71−2.84=23.87$.

Answer:

$23.87$