Question

a group of adult males has foot lengths with a mean of 27.84 cm and a standard deviation of 1.13 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 29.6 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 the range rule of thumb formula

The range rule of thumb states that 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 $\mu = 27.04$ cm and $\sigma=1.13$ cm.

Step2: Calculate the limit for significantly low values

Use the formula $\mu - 2\sigma$.
Substitute the values: $27.04-2\times1.13$.
First, calculate $2\times1.13 = 2.26$.
Then, $27.04 - 2.26=24.78$.

Answer:

24.78