If = 23 ounces,σ = 0.4 ounces,and n = 16,what will be the ±3σ control limits for the x-bar chart?
A)21.8 to 24.2 ounces
B)23 ounces
C)22.70 to 23.30 ounces
D)22.25 to 23.75 ounces
E)22.90 to 23.10 ounces

Question

If  = 23 ounces,σ = 0.4 ounces,and n = 16,what will be the ±3σ control limits for the x-bar chart?
A)21.8 to 24.2 ounces 
B)23 ounces 
C)22.70 to 23.30 ounces 
D)22.25 to 23.75 ounces 
E)22.90 to 23.10 ounces

Quizplus · Accepted Answer

To calculate control limits for the x-bar chart, we use the formula:
Control limits = x-bar ± 3σ/√n
Here, x-bar = 23 ounces, σ = 0.4 ounces, and n = 16.
Plugging in the values, we get:
Control limits = 23 ± 3(0.4)/√16
= 23 ± 3(0.1)
= 23 ± 0.3
= 22.7 to 23.3 ounces
Therefore, the best choice is C.

If = 23 Ounces,σ = 0