Statistics Solutions

[Step-by-Step] The data shown in Table 6E.2 are x and R values for 24 samples of size n = 5 taken from a process producing bearings. The measurements are

Question: The data shown in Table 6E.2 are x and R values for 24 samples of size n = 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals recorded (i.e., 34.5 should be 0.50345).

  1. Set up x and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits.
  2. If specifications on this diameter are 0.5030 ± 0.0010, find the percentage of nonconforming bearings produced by this process. Assume that diameter is normally distributed.
Sample Number \[\bar{x}\] R Sample Number \[\bar{x}\] R
1 34.5 3 13 35.4 8
2 34.2 4 14 34 6
3 31.6 4 15 37.1 5
4 31.5 4 16 34.9 7
5 35 5 17 33.5 4
6 34.1 6 18 31.7 3
7 32.6 4 19 34 8
8 33.8 3 20 35.1 4
9 34.8 7 21 33.7 2
10 33.6 8 22 32.8 1
11 31.9 3 23 33.5 3
12 38.6 9 24 34.2 2

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Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document


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