Consider the following to answer the question(s) below:
A company that fills 12 ounce soft drink bottles wishes to monitor the quality of their process. To do this, the company has taken a series of samples of 4 bottles. The overall average fill is 12.03 ounces. The average range for the samples has been 0.06 ounces.
-Based on this information, what is the value of the upper control limit for the x-bar chart?
A) 12.074
B) 12.059
C) 0.0437
D) 12.09
E) 0.729

Question

Quizplus · Accepted Answer

The upper control limit (UCL) for the x-bar chart can be calculated using the formula: UCL = $ \bar{x} + A_2 \times R $, where $ \bar{x} $ is the overall average, $ R $ is the average range, and $ A_2 $ is a constant that depends on the sample size. For a sample size of 4, $ A_2 $ is typically 0.729. Thus, UCL = 12.03 + (0.729 * 0.06) = 12.03 + 0.04374 = 12.07374, which rounds to 12.074.

Consider the Following to Answer the Question(s) Below