Question

in designing a work desk, it is found that males have sitting knee heights with a mean of 21.6 in. and a standard deviation of 1.6 in. (based on data from the department of transportation). use the range rule of thumb to identify (a) the values that are significantly low, (b) the values that are significantly high, and (c) the values that are neither significantly low nor significantly high.

a. what heights are significantly low? select the correct answer below and fill in the answer box(es) to complete your choice.
(type integers or decimals. do not round.)
o a. heights that are less than □ in.
o b. heights that are greater than □ in. and less than □ in.
o c. heights that are greater than □ in.

Explanation:

Step1: Recall the range rule of thumb formula

The range rule of thumb states that a value is significantly low if it is less than \(\mu - 2\sigma\), significantly high if it is greater than \(\mu+ 2\sigma\), and neither if it is between \(\mu - 2\sigma\) and \(\mu + 2\sigma\). Here, \(\mu = 21.6\) in and \(\sigma=1.6\) in.

Step2: Calculate the value for significantly low

We use the formula \(\mu - 2\sigma\). Substitute \(\mu = 21.6\) and \(\sigma = 1.6\) into the formula:

$$
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$$

Answer:

A. Heights that are less than \(18.4\) in.