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 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 The mean of all sample means is a 20 b 23 c 20 6 d 19 e 21 Calculate 3 upper and lower control limits for the Mean a UCL 23 05 LCL 18 15 b UCL 26 6 LCL 14 6 c UCL 22 64 LCL 18 56 d UCL 22 21 LCL 18 98 e UCL 23 7 LCL 17 5 Is this process in control a Monday sample is above the UCL all others are within limits The process is not in control b Tuesday sample is above the UCL all others are within limits The process is not in control c Wednesday sample is below the LCL all others are within limits The process is not in control d Thursday sample is below the LCL all others are within limits The process is not in control e All samples are within limits The process is in control

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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 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

The mean of all sample means is:

	a.	20
	b.	23
	c.	20.6
	d.	19
	e.	21

Calculate 3 upper and lower control limits for the Mean.

		a. UCL = 23.05; LCL = 18.15
		b. UCL = 26.6; LCL = 14.6
		c. UCL = 22.64; LCL = 18.56
		d. UCL = 22.21; LCL = 18.98
		e. UCL = 23.7; LCL = 17.5

Is this process in control?

		a. Monday sample is above the UCL; all others are within limits. The process is not in control.
		b. Tuesday sample is above the UCL; all others are within limits. The process is not in control.
		c. Wednesday sample is below the LCL; all others are within limits. The process is not in control.
		d. Thursday sample is below the LCL; all others are within limits. The process is not in control.
		e. All samples are within limits. The process is in control.

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