1) Among its many different criterion for quality assurance, theBurnetas Brewery measures the ph level of its beer. A ph of7.0 is acid/base neutral, while a ph of less than 7 indicates thebeer is acidic and a ph greater than 7 indicates it is basic. Burnetas strives for a beer that is slightly basic. The brewerysamples each batch of beer. A sample consists of drawing 7 glassesand testing each for ph level. The last 16 samples of dataare shown in the table below. Given this data, compute theupper and lower control limits and the mean for an X-bar and anR-chart.

	Observation #
Sample #	1	2	3	4	5	6	7
1	7.01	7.00	7.09	7.02	7.12	7.20	7.00
2	7.22	7.20	7.17	7.07	7.02	6.99	7.01
3	6.97	7.09	7.11	7.15	7.05	6.98	7.17
4	7.13	7.17	7.24	7.07	7.14	7.00	7.16
5	7.13	7.06	7.10	7.29	7.11	7.05	7.10
6	7.10	6.95	7.03	7.21	7.13	7.04	7.15
7	7.25	7.08	7.03	7.08	7.00	7.25	7.13
8	7.17	7.10	7.02	7.18	6.96	7.05	6.99
9	7.17	6.98	7.15	7.11	7.05	7.16	7.16
10	7.24	7.17	7.04	7.06	7.14	7.25	7.02
11	6.98	7.07	7.21	7.28	7.04	7.10	7.00
12	7.20	7.09	7.07	6.93	6.99	7.20	6.96
13	7.04	7.14	7.09	7.15	7.19	7.09	7.21
14	7.03	7.03	7.15	7.06	7.09	7.16	7.20
15	7.13	7.14	7.11	7.07	7.04	7.13	7.00
16	7.11	7.15	7.02	7.13	7.18	7.12	7.15

Part B: Interpreting Control Charts (Data for thesequestions is given in the spreadsheet)

1) In Part B of the spreadsheet, there are 4 data sets. Each data set represents 16 samples of size 10 observations. From each sample, X-bar and R were calculated and then plotted onthe appropriate control chart. You are to evaluate each dataset for out of control conditions. Specifically, youshould:

State whether the process seems to be in control or out ofcontrol

If you believe it is out of control, you should clearly statewhy (e.g. x-bar chart has sample 12 below the lower controllimit).

If you believe it is out of control, you should clearly statethe nature of the out of control condition (e.g. process mean hasshifted lower).