Question

use the body temperatures, in degrees fahrenheit, listed in the accompanying table. the range of the data is 3.8°f. use the range - rule of thumb to estimate the value of the standard deviation. compare the result to the actual standard deviation of the data rounded to two decimal places, 0.74°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 0.95°f
(round to two decimal places as needed.)
compare the result to the actual standard deviation.
the estimated standard deviation is
the estimated standard deviation is the actual standard deviation. thus, the estimated standard deviation the goal.
more than 0.2° less than
within 0.2° of
more than 0.2° greater than

Explanation:

Step1: Identify given values

Estimated standard - deviation $s_{est}=0.95^{\circ}F$, actual standard - deviation $s_{act}=0.74^{\circ}F$, goal is to be within $0.2^{\circ}F$.

Step2: Compare estimated and actual standard - deviation

Calculate the difference $|s_{est}-s_{act}|=|0.95 - 0.74|=0.21^{\circ}F$.

Answer:

The estimated standard deviation is more than $0.2^{\circ}$ greater than the actual standard deviation. Thus, the estimated standard deviation does not meet the goal.