Question: A quality analyst wants to construct a sample mean chart for controlling a packaging process. Each day last week, he randomly selected four packages and

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

Day Package 1 Package 2 Package 3 Package 4
Monday 23 22 23 20
Tuesday 23 21 19 21
Wednesday 20 19 20 21
Thursday 18 19 20 17
Friday 18 20 22 22

(a) Calculate the average range of all samples. (Keep one decimal place.)

(b) Calculate all sample means and the mean of all sample means. (Keep one decimal place.)

(c) Calculate the upper and lower control limits for R chart. (Please round your answers to two decimal places.)

(d) Calculate upper and lower x-bar chart control limits. (Please round your answers to two decimal places.)

(e) Is this process in control?

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