If = 23 ounces,σ = 0.4 ounces,and n = 16,the ±3σ control limits will be
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)23.3 to 25.7 ounces.

Question

If  = 23 ounces,σ = 0.4 ounces,and n = 16,the ±3σ control limits will be
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)23.3 to 25.7 ounces.

Quizplus · Accepted Answer

Since the mean is given as 11eab475_23aa_f13b_acdb_552ef2ab59cc_TB4044_11 = 23 ounces and the standard deviation is σ = 0.4 ounces, we can use the formula for control limits:
Upper control limit (UCL) = mean + 3σ
Lower control limit (LCL) = mean - 3σ

Plugging in the values, we get:
UCL = 23 + 3(0.4) = 23.8 ounces
LCL = 23 - 3(0.4) = 22.2 ounces

Therefore, the ±3σ control limits are 22.20 to 23.80 ounces, which is closest to option C, 22.70 to 23.30 ounces.

If = 23 Ounces,σ = 0