The diameter of the casting

The diameter of the casting is an important quality characteristic. A coordinate measuring machine is used to measure the diameter of each casting at five different locations. Data for 20 castings are shown below. Perform a process capability study using x-bar and R charts. The specification limits are: Lower specification limit: 11.7; Upper specification limit: 11.8

Note: Provide your answer under each bullet

Measurements
Casting 1 2 3 4 5
1 11.7629 11.7403 11.7511 11.7474 11.7374
2 11.8122 11.7506 11.7787 11.7736 11.8412
3 11.7742 11.7114 11.753 11.7532 11.7773
4 11.7833 11.7311 11.7777 11.8108 11.7804
5 11.7134 11.687 11.7305 11.7419 11.6642
6 11.7925 11.7611 11.7588 11.7012 11.7611
7 11.6916 11.7205 11.6958 11.744 11.7062
8 11.7109 11.7832 11.7496 11.7496 11.7318
9 11.7984 11.8887 11.7729 11.8485 11.8416
10 11.7914 11.7613 11.7356 11.7628 11.707
11 11.726 11.7329 11.7424 11.7645 11.7571
12 11.7202 11.7537 11.7328 11.7582 11.7265
13 11.8356 11.7971 11.8023 11.7802 11.7903
14 11.7069 11.7112 11.7492 11.7329 11.7289
15 11.7116 11.7978 11.7982 11.7429 11.7154
16 11.7165 11.7284 11.7571 11.7597 11.7317
17 11.8022 11.8127 11.7864 11.7917 11.8167
18 11.7775 11.7372 11.7241 11.7773 11.7543
19 11.7753 11.787 11.7574 11.762 11.7673
20 11.7572 11.7626 11.7523 11.7395 11.7884

 

  1. Set up the x-bar and r-charts for this process, assuming the measurements on each casting form a rational subgroup. Show the xbar and r-charts for the stable process. Ensure you have a stable process.
  2. Calculate the Cp and Cpk indices based on the stable process.
  3. Do your capability analysis using Minitab and show Minitab output.
  4. Is the process capable?
  5. Is the process centered? 

    Click Order now to have a similar paper completed for you by our team of Experts.

error: Content is protected !!