Question

13. Below are the range and standard deviation for a set of data. Use the range rule of thumb and compare it to the standard deviation listed below. Does the range rule of thumb produce an acceptable​ approximation? Suppose a researcher deems the approximation as acceptable if it has an error less than​ 15%.

a https//www MATH 2193 Internet Statistics Spring 2019 Homework: Section 3.3 Homework Score: 0 of 1 pt 3.3.30 Below are the range and standard deviation for a set of data Use the range rule of thumb and compare it to the thod.com/student/PlayerHomework.aspx?homeworkld-512478186questionld-38flushed-false.. Save 4-13 of 23 (8 complete) HW Score: 34.78%, 8 of 23 pts Question Help * deviation listed below Does the range rule of thumb produce an ac approximation as acceptable if it has an error less than 15% ceptable approximation? Suppose a researcher deems the Range 39 Standard Deviation 11 293 The estimated standard deviation is (Round to three decimal placos as needed ) Enter your answer in the answer box and then click Check Answer Clear All ptdoExercise 13h O Type here to search

The estimated standard deviation is

Is this an acceptable​approximation?

A:.No​, because the error of the range rule of​ thumb's approximation is

greater than​ 15%.

B.Yes​, because the error of the range rule of​ thumb's approximation is

less than​ 15%.

C. Yes​, because the error of the range rule of​ thumb's approximation is

greater than​ 15%.

D:.No​, because the error of the range rule of​ thumb's approximation is

less than​ 15%.

Answer 1

using the range thumb rule , we know that

estimated sd = RANGE/4

we have given range = 39

estimated sd = 39/ 4 =9.75

and we have given actual sd = 11.293

B) this an acceptable ​approximation because

the error of the range rule of​ thumb's approximation is

less than​ 15%.