Question

a group of adult males has foot lengths with a mean of 27.64 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 24.5 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 formula

Significantly low values are $\mu - 2\sigma$ or lower, where $\mu$ is the mean and $\sigma$ is the standard deviation.

Step2: Identify given values

Given $\mu = 27.64$ cm and $\sigma=1.42$ cm.

Step3: Calculate the limit for significantly low values

$\mu - 2\sigma=27.64-2\times1.42$.
First, calculate $2\times1.42 = 2.84$.
Then, $27.64 - 2.84=24.8$.

Answer:

$24.8$