1. Data for use in constructing a control chart have been collected on the weight of a bottle of medicine. Six samples were collected early in the morning and measured as follows:

	Time				Weight in grams
9:00 AM			50			46	51	47
9:15 AM			44			46	47	46
9:30 AM			49			46	47	50
9:45 AM			48			47	49	44
10:00 AM			48			52	48	49
10:15 AM			49			45	47	45

Determine the upper and lower control limits for a (three-sigma) X chart. Show all your work.

Upper control limit = ___________

Lower control limit = __________

2. Control charts are being used to monitor a process that takes a certain amount of time. The control limits for an X chart and an R chart have already been calculated. For the X chart, the upper control limit is 12.2 seconds and the lower control limit is 11.8 seconds. For the R chart, the upper control limit is 0.7 seconds and the lower control limit is 0 seconds.