1. A breakfast cereal manufacturer has decided to analyze the weight for a particular box of cereal with x-bar and R control charts. On the x-bar chart, the centre line is at 450 grams (g). On the sample range control chart, the upper control limit is 11.4 g, and the lower control limit is 0. A sample of four boxes is tested every hour. Weights in grams in the latest sample were 444, 456, 452, and 448 g. What conclusions can you draw based on this information?

   		The process is under control
   		The process is not under control
   		Process variability has decreased
   		B and C
   		The information provided is not sufficient to draw conclusions

2. The Fergus Fun Factory produces playground sets for municipalities throughout Southern Ontario. The manager of the quality control department randomly selects 10 playground sets as they come off the production line and counts the number of blemishes on each unit. The sample results are shown below:
   

   Sample	1	2	3	4	5	6	7	8	9	10
   # Blemishes	15	9	17	12	13	14	10	15	9	11

   
   Given the above information, what is the two-sigma upper control limit that should be used to control this process?

   		14.6
   		16.3
   		18.9
   		19.6
   		21.9