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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

Respuesta :

Karabo99

Answer:

C) 22.70 to 23.30 ounces

Explanation:

Process average = 23

σ = 0.4 ounces

σx = σ/sqrt(n)

where n = sample size

σx = 0.4/sqrt(16)

     = 0.4/4

      = 0.1

UCL= Process average + zσx   LCL = Process average - zσx

UCL= 23 + 3*0.1

       = 23.3

LCL= 23 - 3*0.1

      = 22.7

Therefore, The control limits will be 22.7 for the ±3σ control limits for the x-bar chart.

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