Sharp Cookie, PMP, has been called in to enlighten management of the Clueless Bottling

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Sharp Cookie, PMP, has been called in to enlighten management of the Clueless Bottling Corporation on quality control. They complain that there is no process in place to monitor the amount of fluid ounces that goes into each one of their Happy Camper Grape Drink. Customers are complaining that some bottles are less than full. Cookie knows just what to do. He decides to pull samples off the production line every hour during an 8 hour shift and test the level of the contents. His findings are as follows:

Sample Number Bottle Volume in Ounces

1          2          3          4

1          15.45   15.33   15.04   15.66

2          16.11   15.77   14.85   14.04

3          15.55   16.02   13.85   14.66

4          15.33   14.95   16.05   15.88

5          16.22   15.78   16.04   15.88

6          16.25   16.44   13.75   13.20

7          14.79   15.56   15.62   15.99

8          14.78   14.98   15.05   15.61

a) Determine the sigma of each sample

    1. b) Determine the mean and the range of all the samples
    2. c) Determine the standard deviation of the total mean
    3. d) Determine the center line, upper and lower control limits (using 3 Sigma)
    4. e) Plot the control chart in graph form
    5. f) Identify any outliers to management