Question: ) A quality analyst wants to construct a sample mean chart (x-bar) for controlling a packaging process. Each day last week, he randomly selected four

) A quality analyst wants to construct a sample mean chart (x-bar) for controlling a packaging process. Each day last week, he randomly selected four packages and weighed each. The data from that activity appears below.

Weight
Day Package 1 Package 2 Package 3 Package 4
Monday 23 22 23 24
Tuesday 23 21 19 21
Wednesday 20 19 20 21
Thursday 18 19 20 19
Friday 18 20 22 20

Calculate upper and lower control limits that allow for natural variations.

A- 18.9, 22.3

B-19.0, 22.2

C-18.6, 22.6

D-19.3, 22.0

Answer: C

The five sample means are 23, 21, 20, 19, and 20. The mean of all sample means is 20.6

UCL = 20.6 + .729*2.8 LCL = 20.6 - .729*2.8 =

How they got the .729 and 2.8 values?

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