Concrete blocks to be used in a certain application are supposed to have a mean compressive strength of 1500 MPa. Samples of size 1 are used for quality control. The compressive strengths of the last 40 samples are given in the following table. Sample Strength 1487 1463 3 1499 1502 1473 1520 1520 1495 1503 10 1499 11 1497 12 1516 13 1489 14 1545 15 1498 16 1503 17 1522 18 1502 1499 1484 19 20 21 1507 22 1474 23 1515 1533 1487 1518 24 25 26 27 1526 28 1469 29 1472 30 1512 1483 1505 31 32 33 1507 34 1505 1517 1504 35 36 37 1515 38 1467 39 1491 40 1488 Previous results suggest that a value of o = 15 is reasonable for this process. a. Using the value 1500 for the target mean u,and the values k = 0.5 and h = 4, construct a CUSUM chart. b. Is the process mean in control? If not, when is it first detected to be out of control?

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Concrete blocks to be used in a certain application are supposed to have a mean
compressive strength of 1500 MPa. Samples of size 1 are used for quality control. The
compressive strengths of the last 40 samples are given in the following table.
Sample
Strength
1487
1463
3
1499
1502
1473
1520
1520
1495
1503
10
1499
11
1497
12
1516
13
1489
14
1545
15
1498
16
1503
17
1522
18
1502
1499
1484
19
20
21
1507
22
1474
23
1515
1533
1487
1518
24
25
26
27
1526
28
1469
29
1472
30
1512
1483
1505
31
32
33
1507
34
1505
1517
1504
35
36
37
1515
38
1467
39
1491
40
1488
Previous results suggest that a value of o = 15 is reasonable for this process.
a. Using the value 1500 for the target mean u,and the values k = 0.5 and h = 4, construct
a CUSUM chart.
b. Is the process mean in control? If not, when is it first detected to be out of control?
Transcribed Image Text:Concrete blocks to be used in a certain application are supposed to have a mean compressive strength of 1500 MPa. Samples of size 1 are used for quality control. The compressive strengths of the last 40 samples are given in the following table. Sample Strength 1487 1463 3 1499 1502 1473 1520 1520 1495 1503 10 1499 11 1497 12 1516 13 1489 14 1545 15 1498 16 1503 17 1522 18 1502 1499 1484 19 20 21 1507 22 1474 23 1515 1533 1487 1518 24 25 26 27 1526 28 1469 29 1472 30 1512 1483 1505 31 32 33 1507 34 1505 1517 1504 35 36 37 1515 38 1467 39 1491 40 1488 Previous results suggest that a value of o = 15 is reasonable for this process. a. Using the value 1500 for the target mean u,and the values k = 0.5 and h = 4, construct a CUSUM chart. b. Is the process mean in control? If not, when is it first detected to be out of control?
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