Question

in designing a work desk, it is found that males have sitting knee heights with a mean of 22.9 in, and a standard deviation of 1.5 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. 2. 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.) a. heights that are greater than \boxed{} in. and less than \boxed{} in. b. heights that are greater than \boxed{} in. c. heights that are less than \boxed{} in.

Explanation:

To determine significantly low values using the range rule of thumb, we first find the lower limit. The formula for significantly low values is $\text{Mean} - 2\times\text{Standard Deviation}$.

Step 1: Identify the mean and standard deviation

The mean ($\mu$) is 22.9 in, and the standard deviation ($\sigma$) is 1.5 in.

Step 2: Calculate the lower limit

Using the formula $\mu - 2\sigma$:

$$ 22.9 - 2\times1.5 = 22.9 - 3 = 19.9 $$

So, heights that are less than 19.9 in are significantly low. Looking at the options, option C is "Heights that are less than $\boldsymbol{19.9}$ in."

Answer:

C. Heights that are less than 19.9 in.