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

Day

Package 1

Package 2

Package 3

Package 4

Package 5

Package 6

Monday 23 22 23 24 23 21

Tuesday 23 21 19 21 24 20

Wednesday 20 19 20 21 19 20

Thursday 18 19 20 19 21 22

Friday 18 20 22 20 19 21

To assist students, I am attaching the Factors for Determining Control Limits from your text

Sample size A2D3D4

21.88003.268

31.02302.574

40.72902.282

50.57702.115

60.48302.004

70.4190.0761.924

80.3730.1361.864

90.3370.1841.816

100.3080.2231.777

120.2660.2841.716

Assuming three (3) sigma limits (corresponding to 99.73 percent), construct:

a)the upper and lower control limits for a Mean chart;

b)the upper and lower control limits for a Range chart;

Examining the data and your constructed charts from above, is the process in control, heading out of control or already out of control?