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 23.87 cm or lower. (type an integer or a decimal. do not round.) significantly high values are cm or higher. (type an integer or a decimal. do not round.)

Explanation:

Step1: Recall range - rule - of - thumb formula

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 limit for significantly high values

We use the formula $\mu + 2\sigma$.
Substitute $\mu = 26.71$ and $\sigma = 1.42$ into the formula: $26.71+2\times1.42=26.71 + 2.84$.
$26.71+2.84 = 29.55$ cm.

Answer:

29.55