Question

Bags of chips are filled using a machine. Because not all chips
are the same size, it is impossible to get the exact target weight
in each bag. The target weight is 75 g. Based on samples of size 4,
the average standard deviation is about 0.5 g,and the average
weight of the last batch of four bags was 76 g. Which of the
following are the upper and lower control limits for an *x*
control chart?

A) (73.5, 76.5) g

B) (74.25, 75.75) g

C) (74.5, 77.5) g

D) (76.25, 76.75) g

Answer #1

We have n =4 , targeted mean = = 75 , from sample we get mean = = 76, average standard deviation = = 0.5

The control limits are :

A_{3} can be determined using tables of constant for
control chart. Look in to row of n =4 and find value of
A_{3} .

= 75.19

= 76.81

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