Question

At Isogen Pharmaceuticals, the filling process for its asthma inhaler is set to dispense 150 milliliters...

At Isogen Pharmaceuticals, the filling process for its asthma inhaler is set to dispense 150 milliliters (ml) of steroid solution per container. The average range for a sample of 4 containers is 3 ml. The lower control limit for the mean chart, rounded to three decimal places, is ……….. milliliters.

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Answer #1

Solution:

Mean (X-bar) = 150 ml

Average range (R-bar) = 3 ml

Sample size (n) = 4 containers

From the table of factors for computing control chart limits (3-sigma),

for n = 4 (sample size = 4),

A2 = 0.729

The Lower Control Limit (LCL) for the mean chart is calculated as,

LCL = X-bar - (A2 x R-bar)

LCL = 150 - (0.729 x 3)

LCL = 147.813 millilitres

> for what is give it is correct but the question is not all the way full.
D4=2.282 from the table given for 4
D3=0 for the table given for 4
R=3
UCL=D4*R=6.85
LCLr=0
n=150
A2=0.729 for four given in the table
UCLn=R*A2+n=3*.729+150=152.19
LCLn=150-3*.729=147.81

Yr Sun, Oct 29, 2023 11:06 AM

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