Q2 The following measurements represent the length (in cm) of the electrical contacts of relays in sample of size 5, taken hourly from the operating process. Create the X-bar and R charts and decide if the process is in control. Hour i X1 X2 X3 Х4 X5 1.9890 2.1080 2.0590 2.0110 2.0070 1.8410 1.8900 2.0590 1.9160 1.9800 3 2.0070 2.0970 2.0440 2.0810 2.0510 4 2.0940 2.2690 2.0910 2.0970 1.9670 5 1.9970 1.8140 1.9780 1.9960 1.9830 2.0540 1.9700 2.1780 2.1010 1.9150 7 2.0920 2.0300 1.8560 1.9060 1.9750 8. 2.0330 1.8500 2.1680 2.0850 2.0230 9. 2.0960 2.0960 1.8840 1.7800 2.0050 10 2.0510 2.0380 1.7390 1.9530 1.9170

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Q2
The following measurements represent the length (in cm) of the electrical contacts of relays in samples
of size 5, taken hourly from the operating process. Create the X-bar and R charts and decide if the
process is in control.
Hour i
X1
X2
X3
X4
X5
1
1.9890
2.1080
2.0590
2.0110
2.0070
1.8410
1.8900
2.0590
1.9160
1.9800
3
2.0070
2.0970
2.0440
2.0810
2.0510
4
2.0940
2.2690
2.0910
2.0970
1.9670
5
1.9970
1.8140
1.9780
1.9960
1.9830
2.0540
1.9700
2.1780
2.1010
1.9150
7
2.0920
2.0300
1.8560
1.9060
1.9750
8.
2.0330
1.8500
2.1680
2.0850
2.0230
9
2.0960
2.0960
1.8840
1.7800
2.0050
10
2.0510
2.0380
1.7390
1.9530
1.9170
11
1.9520
1.7930
1.8780
2.2310
1.9850
12
2.0060
2.1410
1.9000
1.9430
1.8410
13
2.1480
2.0130
2.0660
2.0050
2.0100
14
1.8910
2.0890
2.0920
2.0230
1.9750
15
2.0930
1.9230
1.9750
2.0140
2.0020
16
2.2300
2.0580
2.0660
2.1990
2.1720
17
1.8620
2.1710
1.9210
1.9800
1.7900
18
2.0560
2.1250
1.9210
1.9200
1.9340
19
1.8980
2.0000
2.0890
1.9020
2.0820
20
2.0490
1.8790
2.0540
1.9260
2.0080
Transcribed Image Text:Q2 The following measurements represent the length (in cm) of the electrical contacts of relays in samples of size 5, taken hourly from the operating process. Create the X-bar and R charts and decide if the process is in control. Hour i X1 X2 X3 X4 X5 1 1.9890 2.1080 2.0590 2.0110 2.0070 1.8410 1.8900 2.0590 1.9160 1.9800 3 2.0070 2.0970 2.0440 2.0810 2.0510 4 2.0940 2.2690 2.0910 2.0970 1.9670 5 1.9970 1.8140 1.9780 1.9960 1.9830 2.0540 1.9700 2.1780 2.1010 1.9150 7 2.0920 2.0300 1.8560 1.9060 1.9750 8. 2.0330 1.8500 2.1680 2.0850 2.0230 9 2.0960 2.0960 1.8840 1.7800 2.0050 10 2.0510 2.0380 1.7390 1.9530 1.9170 11 1.9520 1.7930 1.8780 2.2310 1.9850 12 2.0060 2.1410 1.9000 1.9430 1.8410 13 2.1480 2.0130 2.0660 2.0050 2.0100 14 1.8910 2.0890 2.0920 2.0230 1.9750 15 2.0930 1.9230 1.9750 2.0140 2.0020 16 2.2300 2.0580 2.0660 2.1990 2.1720 17 1.8620 2.1710 1.9210 1.9800 1.7900 18 2.0560 2.1250 1.9210 1.9200 1.9340 19 1.8980 2.0000 2.0890 1.9020 2.0820 20 2.0490 1.8790 2.0540 1.9260 2.0080
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