Question

a group of adult males has foot lengths with a mean of 27.11 cm and a standard deviation of 1.46 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 30.3 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

The range rule of thumb states that significantly low values are \( \text{mean} - 2\times\text{standard deviation} \) and significantly high values are \( \text{mean} + 2\times\text{standard deviation} \).

Step2: Calculate the lower limit

Given \( \text{mean} = 27.11 \) cm and \( \text{standard deviation} = 1.46 \) cm.
First, calculate \( 2\times\text{standard deviation} \):
\( 2\times1.46 = 2.92 \)

Then, the lower limit is \( \text{mean} - 2\times\text{standard deviation} \):
\( 27.11 - 2.92 = 24.19 \)

Answer:

24.19