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Session 8 Homework Problems1-

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Session 8 Homework Problems

1- The following data
are the production units from a manufacturing line for the past 8 weeks. The manager wants to know if the process is stable and in control. Produce X-bar and R charts and comment on the process
Week
Monday
Tuesday
Wednesday
Thursday
Friday
1
12
15
8
7
10
2
6
9
11
13
7
3
15
11
9
6
12
4
8
7
6
11
14
5
20
12
10
5
14
6
13
10
9
8
12
7
10
14
11
8
5
8
10
15
17
11
9

2- A project manager at Q Corporation has a commitment to deliver 200 cylinders to a customer. The internal diameter of these cylinders must be 60 centimeters. The tolerance is +1 and -0.5 centimeter. If the mean value of the production process is 60.4 and the standard deviation is 0.5,
a- Calculate the process capability index (CP and CPk) and indicate if the process is capable.
b- How many cylinders the PM should plan to produce in order for 200 of them to meet specification.
c- What should be the standard deviation in order for the process to become capable?

3- A product has specification limits of 18 to 20. If the process mean is 19.2 and the standard deviation is 0.6, calculate
a. The process capability for this production line.
b. What % of the products are out of specs
c. What should be the standard deviation in order for the process to become capable?

 
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