S6.7: Auto pistons at Yongpin Zhou’s plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean the range of this diameter have been as follows:

Day Mean (mm) Range(mm)
1 156.9 4.2
2 153.2 4.6
3 153.6 4.1
4 155.5 5
5 156.6 4.5

 

a.What is the value x bar?

b. What is the value of R bar?

c. What are the UCL_x bar and LCL_x bar using 3 sigma?

S.6.15: The results of inspection of DNA samples taken over the past 10 days are given below. Sample size is 100.

Day 1 2 3 4 5 6 7 8 9 10
Defectives 7 6 6 9 5 6 0 8 9 1

 

a) Construct a 3-sigma p-chart using this information.

 

b) If the number of defectives on the nex

 

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