Table 15-1

-Refer to Table 15-1.To guarantee that cans of soup are properly filled, some cans are sampled and the amounts measured.The overall average for the samples is 12 ounces.Each sample contains 10 cans.The average range is 0.4 ounces.The upper control chart limit for the sample averages would be
A)12.1232.
B)11.8768.
C)13.2.
D)12.308.

Question

Table 15-1
 
-Refer to Table 15-1.To guarantee that cans of soup are properly filled, some cans are sampled and the amounts measured.The overall average for the samples is 12 ounces.Each sample contains 10 cans.The average range is 0.4 ounces.The upper control chart limit for the sample averages would be
A)12.1232. 
B)11.8768. 
C)13.2. 
D)12.308.

Quizplus · Accepted Answer

The upper control limit (UCL) for the sample averages in a control chart can be calculated using the formula: UCL = $ \bar{X} + A_2 \times R $, where $ \bar{X} $ is the overall sample mean, $ A_2 $ is a factor from a statistical table based on the sample size (for a sample size of 10, $ A_2 $ is approximately 0.308), and $ R $ is the average range. Given $ \bar{X} = 12 $ ounces and $ R = 0.4 $ ounces, the UCL = $ 12 + 0.308 \times 0.4 = 12.1232 $.

Table 15-1 -Refer to Table 15-1.To Guarantee That Cans of Soup Are