Question

use the body temperatures, in degrees fahrenheit, listed in the accompanying table. the range of the data is 3.1°f. use the range rule of thumb to estimate the value of the standard deviation to the actual standard deviation of the data rounded to two decimal places, 0.66°f, assuming the goal is to approximate the standard deviation within 0.2°f.
click the icon to view the table of body temperatures.
the estimated standard deviation is 0.78°f
(round to two decimal places as needed.)
compare the result to the actual standard deviation.
the estimated standard deviation is the actual standard deviation. thus, the estimated standard deviation meets the goal

Explanation:

Step1: Identify values

Estimated standard - deviation $s_{est}=0.78^{\circ}F$, actual standard - deviation $s_{act}=0.66^{\circ}F$.

Step2: Calculate difference

Find the difference $|s_{est}-s_{act}|=|0.78 - 0.66|=0.12^{\circ}F$.

Step3: Compare with goal

Since $0.12^{\circ}F<0.2^{\circ}F$, the estimated standard - deviation is within $0.2^{\circ}F$ of the actual standard - deviation.

Answer:

within $0.2^{\circ}$ of