In: Statistics and Probability
Use the data in the table below to set up short-run X-bar and R charts using the DNOM approach. The nominal dimensions for each part are TA = 50, TB = 75, TC = 60, TD = 100, and TE = 125.
Sample | Part | M1 | M2 | M3 |
1 | A | 51 | 50 | 51 |
2 | A | 48 | 50 | 52 |
3 | A | 50 | 52 | 48 |
4 | A | 49 | 51 | 54 |
5 | A | 47 | 45 | 52 |
6 | A | 49 | 50 | 51 |
7 | B | 73 | 74 | 74 |
8 | B | 76 | 74 | 75 |
9 | B | 77 | 73 | 75 |
10 | B | 77 | 75 | 74 |
11 | B | 75 | 75 | 75 |
12 | B | 76 | 74 | 74 |
13 | C | 62 | 59 | 61 |
14 | C | 60 | 58 | 60 |
15 | C | 60 | 59 | 61 |
16 | D | 101 | 98 | 99 |
17 | D | 102 | 102 | 99 |
18 | D | 98 | 100 | 98 |
19 | D | 103 | 102 | 102 |
20 | D | 100 | 101 | 99 |
21 | E | 125 | 124 | 122 |
22 | E | 123 | 124 | 124 |
23 | E | 126 | 128 | 126 |
24 | E | 126 | 124 | 128 |
25 | E | 126 | 121 | 122 |
Sol:
step 1:calculate xi using Mi as follows
Using these values plot Xbar R chart in minitab
observing obove chart we can conclude that process is under control
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