Question

a group of adult males has foot lengths with a mean of 27.04 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 24.78 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 the range rule of thumb formula

The range rule of thumb states that values are significantly low if they are \( \mu - 2\sigma\) or lower, and significantly high if they 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 significantly high limit

Use the formula \( \mu + 2\sigma\).
Substitute the values: \(27.04+2\times1.13\).
First, calculate \(2\times1.13 = 2.26\).
Then, \(27.04 + 2.26=29.3\)

Answer:

Significantly high values are \(29.3\) cm or higher.