Question

You want to develop a three-sigma R-Chart. You know the average range is 8 based on several samples of size 10. What is the UCL of the R-Chart? Round your answer to two decimal places. ......

Answer 1

Explanation:

To calculate the upper control limit (UCL) for a three-sigma R-Chart, you need to multiply the average range (AR) by a scaling factor. In this case, the scaling factor for a three-sigma R-Chart is 3.

Given that the average range (AR) is 8, we can calculate the UCL as follows:

UCL = AR + (3 * AR)

UCL = 8 + (3 * 8)

UCL = 8 + 24

UCL = 32

Therefore, the UCL of the R-Chart is 32 when rounded to two decimal places