In a sausage factory, quality managers are studying the compliance of the sausages with the requirements. Any sausage having pin holes, air pockets, deformation or breakage in its casings is counted as defective and total number of such defective sausages alone is noted in each shift. The following data represents the number of defective sausages in samples of 200 sausages taken from 10 shifts. Sample Defectives Percent Defective 1 40 20% 2 28 14% 3 15 8% 4 23 (a) 5 20 10% 6 21 11% 7 19 10% 8 15 8% 9 16 8% 10 17 9% Calculate the value for (a) in the table above.    Calculate p-bar based on the samples above.  What is the UCL and LCL for a p chart based on the data provided and a desired control level of 99.74%?   Use your control limits from part b along with the data provided to draw a p-chart. Is the process in control? Why or why not? If not in control, suggest some potential reasons.

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In a sausage factory, quality managers are studying the compliance of the sausages with the requirements. Any sausage having pin holes, air pockets, deformation or breakage in its casings is counted as defective and total number of such defective sausages alone is noted in each shift. The following data represents the number of defective sausages in samples of 200 sausages taken from 10 shifts.

Sample

Defectives

Percent Defective

1

40

20%

2

28

14%

3

15

8%

4

23

(a)

5

20

10%

6

21

11%

7

19

10%

8

15

8%

9

16

8%

10

17

9%

  1. Calculate the value for (a) in the table above.  
  2.  Calculate p-bar based on the samples above
  3. What is the UCL and LCL for a p chart based on the data provided and a desired control level of 99.74%?  
  4. Use your control limits from part b along with the data provided to draw a p-chart.
  5. Is the process in control? Why or why not? If not in control, suggest some potential reasons.
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