Question

number 10

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%. Range 2.92 Standard Deviation = 0.738 The estimated standard deviation is Round to three decimal places as needed.) Is this an acceptable approximation? A. O B. ° C. O D. No, because the error of the range rule of thumb's approximation is less than 15%. No, because the error of the range rule of thumb's approximation is greater than 15%. Yes, because the error of the range rule of thumb's approximation is greater than 15%. Yes, because the error of the range rule of thumb's approximation is less than 15%.

Answer 1

According to range thumb rule, the range is approximately 4 times the standard deviation

So, estimated standard deviation = 2.92/4

= 0.730

Error of thumb rule = (0.738 - 0.730)/0.738 x 100

= 1.1%

D. Yes, because the error of the range rule of thumb's approximation is less than 15%