Statistics Question

Advance Statistics – Final Assignment- Answer all questions and submit your final report in word file.
– Ensure that all steps are documented in an appropriate order, including output obtained
from calculation performed using Minitab.
Question 1 (20 marks)
A salary survey was conducted to explore the monthly salary of a sample of employees
from different education background, who are working in public and private organizations.
Use the Salary Data Sheet provided to perform the following tasks and comment on the
results:
1. Identify the type of each parameter (Qualitative & Quantitative).
2. Create summary table for Job Level.
3. Draw bar graph for Education.
4. Draw pie chart for Sector.
5. Draw a histogram for salary.
6. Calculate descriptive statistics of Salary and test its normality.
7. Draw box blot for Age and determine the existence of outliers.
8. Draw a Pareto chart for total salary of each Discipline & present your conclusion
about the vital few.
Question 2 (20 marks)
A. You are working in TV set factory. The manufactured TV has a normal
distribution life with  = 3,500 working hours and  = 200 hours.
1. What is the probability that a TV will work less than 3,350 hours?
2. What is the probability that a TV will work more than 3,750 hours?
3. What is the probability that a TV will work between 3,350 & 3,750 hours?
4. What is TV life that you are confident 95% it will keep working?
1
B. You are working in a bank. You have collected enough data to determine the
average time needed to serve one customer and found that it follows a normal
distribution with  = 4.78 minutes and  = 1.32 minutes.
1. What is the probability that you will serve 10 customers every hour?
2. What is the probability that you will serve more than 15 customers every
hour?
3. What is the probability that you will serve between 10 & 15 customers every
hour?
4. What is the number of customers you will be 95% confident that you will
serve every hour?
C. You are thinking about signing a contract, as a supplier for one of the biggest
global exporting company. The draft contract obligates you to deliver 20 tons of
orange every week. The delivery process of orange during this season follows a
normal distribution with  = 22.5 tons every week and  = 3.2 tons.
1. What is the probability that you will achieve the contract terms?
2. What is the orange quantity that you will be 95% confident that you will
deliver every week?
Question 3 (15 marks)
A supplier was requested to deliver order within 25 to 35 days after receiving the Purchase
Order.
Use Delivery Time Data to perform the following:
A. Calculate the capability indices and provide your comments on the results.
B. Provide your recommendation to improve the supplier performance.
2
Question 4 (10 marks)
Cycle Time was measured and found to be a non-normal distribution.
Use Cycle Time Data to perform the following:
A. Transform Cycle Time data using Box-Cox transformation.
B. Transform Cycle Time data using Johnson transformation.
Question 5 (20 marks)
Car manufacturing plant is studying the stability of its processes.
Use Car Factory Data to perform the following:
A. Provide your comments on the stability of daily production.
B. Provide your comments on the stability of defective cars.
C. Provide your comments on the stability of car defects.
Question 6 (15 marks)
Sales manager wishing to predict the future sales.
Use Sales Data to perform the following:
A. Provide your comments on the sales trend.
B. Provide your comments on the sales seasonality.
C. Provide your comments on the obtained accuracy model.
D. Predict the upcoming 3 quarter sales.
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Bachelor
Bachelor
Doctorate
Bachelor
Master
Bachelor
Bachelor
Master
Doctorate
Master
Master
Lawyer
Engineering
Engineering
Lawyer
Lawyer
Business
Lawyer
Engineering
IT
Lawyer
IT
Business
IT
Lawyer
Business
IT
Business
Business
Engineering
Engineering
Lawyer
Engineering
Lawyer
Business
IT
Lawyer
Business
Engineering
Engineering
Engineering
Lawyer
Engineering
Business
Lawyer
Business
Business
Business
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
Junior
Senior
Manager
Junior
Manager
Senior
Senior
Senior
Manager
Junior
Senior
Senior
Manager
Senior
Junior
Manager
Manager
Manager
Manager
Manager
Manager
Junior
Senior
Manager
Manager
Manager
Junior
Manager
Manager
Senior
Senior
Manager
Manager
Senior
Manager
Manager
Senior
Private
Private
Private
Public
Private
Private
Private
Private
Private
Public
Public
Public
Public
Public
Public
Private
Private
Private
Private
Private
Private
Public
Public
Private
Private
Private
Public
Public
Private
Private
Private
Private
Private
Private
Private
Private
Private
Bachelor
Master
Master
Master
Bachelor
Master
Doctorate
Bachelor
Bachelor
Bachelor
Doctorate
Master
Master
Master
Master
Bachelor
Doctorate
Master
Master
Doctorate
Doctorate
Bachelor
Doctorate
Bachelor
Doctorate
Master
Bachelor
Master
Master
Doctorate
Master
Bachelor
Bachelor
Master
Doctorate
Doctorate
Doctorate
IT
Engineering
IT
Business
IT
IT
IT
IT
Engineering
Business
IT
IT
IT
Lawyer
Lawyer
Lawyer
Business
Business
Business
Engineering
Engineering
IT
Business
Lawyer
Business
IT
IT
Lawyer
Business
Lawyer
Business
Lawyer
Engineering
IT
Business
IT
Lawyer
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
Manager
Senior
Manager
Manager
Manager
Manager
Manager
Manager
Senior
Manager
Senior
Manager
Manager
Senior
Senior
Senior
Senior
Manager
Senior
Junior
Junior
Manager
Senior
Senior
Junior
Manager
Manager
Manager
Junior
Manager
Manager
Senior
Junior
Manager
Senior
Manager
Manager
Private
Public
Private
Private
Public
Private
Private
Private
Private
Private
Private
Private
Private
Private
Private
Private
Private
Private
Public
Private
Public
Private
Private
Public
Private
Private
Private
Private
Public
Private
Private
Private
Public
Private
Public
Private
Private
Master
Master
Doctorate
Master
Bachelor
Bachelor
Master
Master
Bachelor
Bachelor
Bachelor
Master
Master
Master
Bachelor
Bachelor
Doctorate
Doctorate
Master
Bachelor
Bachelor
Doctorate
Doctorate
Doctorate
Bachelor
Doctorate
Doctorate
Doctorate
Master
Bachelor
Master
Master
Bachelor
Bachelor
Doctorate
Bachelor
Doctorate
Engineering
Engineering
Business
Business
IT
Lawyer
IT
Engineering
Business
Lawyer
IT
Lawyer
IT
Engineering
Lawyer
IT
Business
IT
Business
Business
IT
IT
IT
Engineering
Business
IT
IT
IT
Lawyer
Lawyer
Business
Lawyer
IT
IT
Engineering
IT
Business
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
Manager
Manager
Manager
Senior
Senior
Manager
Manager
Manager
Manager
Manager
Senior
Manager
Manager
Senior
Senior
Manager
Senior
Junior
Manager
Senior
Junior
Senior
Senior
Junior
Manager
Senior
Manager
Senior
Senior
Manager
Senior
Senior
Senior
Manager
Senior
Senior
Manager
Private
Private
Private
Private
Public
Private
Private
Private
Private
Public
Private
Private
Private
Private
Private
Private
Public
Public
Private
Private
Public
Public
Private
Private
Private
Private
Private
Private
Public
Private
Private
Public
Public
Private
Public
Public
Private
Master
Bachelor
Bachelor
Bachelor
Master
Doctorate
Doctorate
Bachelor
Bachelor
Bachelor
Doctorate
Bachelor
Bachelor
Doctorate
Master
Master
Master
Bachelor
Bachelor
Doctorate
Master
Master
Bachelor
Bachelor
Master
Bachelor
Master
Bachelor
Doctorate
Bachelor
Bachelor
Doctorate
Bachelor
Bachelor
Master
Bachelor
Doctorate
Business
Engineering
Engineering
Lawyer
Business
IT
Engineering
Engineering
IT
Engineering
IT
IT
IT
Lawyer
Engineering
Engineering
IT
Business
Engineering
Engineering
IT
Engineering
Lawyer
IT
Business
Business
IT
Engineering
IT
Lawyer
Business
IT
Lawyer
Lawyer
Business
Lawyer
IT
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
Manager
Senior
Manager
Manager
Manager
Manager
Manager
Junior
Manager
Manager
Junior
Senior
Manager
Manager
Manager
Manager
Senior
Manager
Senior
Manager
Senior
Junior
Junior
Senior
Junior
Senior
Manager
Senior
Manager
Junior
Manager
Manager
Manager
Manager
Senior
Manager
Senior
Private
Private
Private
Private
Private
Private
Private
Private
Private
Private
Private
Public
Private
Private
Public
Private
Private
Private
Public
Private
Public
Public
Public
Private
Public
Private
Private
Private
Private
Public
Public
Private
Private
Private
Private
Private
Private
Master
Master
Bachelor
Bachelor
Doctorate
Doctorate
Doctorate
Bachelor
Master
Doctorate
Master
Bachelor
Bachelor
Master
Master
Master
Master
Doctorate
Bachelor
Doctorate
Master
Bachelor
Bachelor
Bachelor
Bachelor
Master
Master
Master
Bachelor
Bachelor
Bachelor
Master
Master
Doctorate
Master
Bachelor
Doctorate
Lawyer
Business
Engineering
Lawyer
Engineering
Business
Engineering
Business
Lawyer
IT
Lawyer
Lawyer
IT
Lawyer
IT
Engineering
Engineering
IT
IT
Lawyer
Engineering
Business
Business
Lawyer
Engineering
Engineering
IT
Lawyer
Lawyer
Engineering
IT
Lawyer
IT
Business
Lawyer
Business
Business
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
Senior
Senior
Manager
Manager
Manager
Manager
Senior
Manager
Manager
Senior
Manager
Manager
Manager
Senior
Senior
Manager
Manager
Manager
Manager
Senior
Senior
Senior
Senior
Manager
Senior
Junior
Senior
Junior
Manager
Senior
Senior
Manager
Senior
Senior
Senior
Senior
Senior
Private
Private
Private
Private
Private
Private
Private
Private
Private
Private
Private
Private
Private
Public
Public
Private
Private
Private
Private
Private
Public
Public
Public
Private
Public
Private
Public
Public
Public
Private
Private
Private
Private
Private
Private
Private
Public
Bachelor
Master
Bachelor
Bachelor
Doctorate
Doctorate
Bachelor
Bachelor
Master
Master
Bachelor
Bachelor
Bachelor
Bachelor
Master
Master
Master
Bachelor
Bachelor
Master
Doctorate
Master
Master
Bachelor
Doctorate
Master
Master
Bachelor
Master
Doctorate
Doctorate
Bachelor
Bachelor
Bachelor
Doctorate
Bachelor
Master
IT
Business
Engineering
IT
Lawyer
Lawyer
Business
Engineering
Lawyer
Engineering
Lawyer
Engineering
Business
Lawyer
Business
IT
IT
Lawyer
Lawyer
IT
IT
IT
IT
Lawyer
Engineering
Lawyer
IT
Engineering
Business
Business
Lawyer
Engineering
Lawyer
Business
IT
Business
Engineering
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
Manager
Senior
Manager
Manager
Senior
Manager
Manager
Senior
Senior
Senior
Manager
Manager
Manager
Junior
Senior
Manager
Senior
Senior
Manager
Senior
Senior
Senior
Senior
Manager
Senior
Senior
Manager
Senior
Manager
Junior
Senior
Manager
Senior
Senior
Manager
Senior
Senior
Private
Public
Public
Private
Private
Private
Private
Private
Private
Public
Private
Private
Private
Public
Private
Public
Private
Private
Public
Public
Private
Public
Private
Private
Private
Private
Private
Private
Private
Public
Private
Private
Private
Private
Private
Private
Private
Doctorate
Master
Bachelor
Doctorate
Bachelor
Doctorate
Master
Bachelor
Doctorate
Master
Master
Bachelor
Doctorate
Bachelor
Doctorate
Master
Master
Doctorate
Doctorate
Master
Doctorate
Doctorate
Master
Bachelor
Master
Doctorate
Bachelor
Master
Master
Bachelor
Master
Doctorate
Bachelor
Master
Bachelor
Master
Master
Engineering
Engineering
Engineering
Business
Engineering
IT
IT
Lawyer
Engineering
Business
IT
Lawyer
Lawyer
Engineering
IT
IT
IT
Business
IT
Lawyer
Business
Engineering
Engineering
Business
Lawyer
Business
Business
IT
Engineering
Business
Lawyer
Business
IT
Business
IT
Engineering
Engineering
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
Manager
Senior
Senior
Senior
Manager
Senior
Senior
Junior
Manager
Senior
Manager
Senior
Senior
Senior
Manager
Senior
Senior
Senior
Private
Private
Private
Private
Private
Private
Private
Public
Private
Public
Private
Private
Private
Private
Private
Public
Public
Public
Doctorate
Master
Master
Master
Master
Bachelor
Master
Bachelor
Master
Bachelor
Bachelor
Bachelor
Master
Bachelor
Doctorate
Doctorate
Bachelor
Master
Engineering
IT
IT
IT
IT
Lawyer
IT
Business
Business
Engineering
IT
IT
Business
Engineering
IT
Engineering
Engineering
Lawyer
Age
Salary
31.5
36.2
26.9
55.1
27.4
29.7
46.3
35.7
56.1
35.6
35.6
57.3
56.0
54.3
45.3
33.5
49.1
49.1
54.5
24.6
35.0
31.2
36.2
26.3
49.7
26.4
27.0
56.4
48.2
54.0
49.2
51.6
52.9
56.4
35.4
8,853
10,206
5,039
12,028
6,952
7,519
24,903
9,889
9,514
8,013
8,020
25,622
12,786
27,412
17,617
9,597
9,097
11,561
16,475
7,400
9,593
11,365
7,710
4,938
23,732
6,340
5,061
25,540
17,392
16,177
16,239
14,803
20,914
10,692
7,363
Customer
Satisfaction
9
10
10
5
3
7
4
1
1
2
2
1
6
9
3
4
2
2
8
1
1
2
2
3
8
4
2
9
8
3
2
5
6
5
4
33.1
26.1
33.1
34.3
51.8
57.8
35.5
27.7
31.7
34.6
35.0
34.9
35.6
38.5
48.2
35.8
50.0
47.9
29.1
44.2
30.9
33.0
29.2
34.9
35.9
51.8
34.7
24.1
35.2
39.6
52.5
45.9
25.1
25.9
28.4
49.4
35.9
7,951
7,436
7,178
9,336
21,902
14,642
9,797
6,688
10,046
7,141
10,223
9,436
9,058
8,979
16,120
29,101
19,833
24,556
10,455
9,064
11,398
10,433
11,284
10,544
7,759
28,880
8,989
6,537
12,311
9,490
12,223
11,335
7,748
6,941
9,770
25,260
11,220
1
5
7
8
7
9
10
10
3
3
8
9
1
5
10
1
3
7
4
9
1
9
10
3
2
2
10
8
8
3
1
5
6
7
6
10
1
24.4
34.1
35.1
57.9
35.3
32.0
54.5
29.9
32.9
30.6
26.9
57.9
25.2
38.9
30.7
28.1
39.5
46.2
38.3
35.3
35.2
35.5
35.1
35.1
29.1
32.1
35.8
36.4
31.9
35.0
30.3
45.9
48.8
51.2
39.2
29.6
51.0
7,357
9,140
10,986
14,675
8,718
8,573
22,728
9,616
8,903
8,993
5,165
17,567
5,686
9,637
7,894
10,445
10,251
14,876
11,347
11,555
8,682
7,781
27,323
9,002
9,410
10,333
10,995
8,379
9,744
12,228
8,054
8,880
27,281
17,628
8,186
7,442
21,585
10
3
7
6
4
8
1
1
6
1
3
3
1
5
10
5
7
7
7
6
8
7
4
6
9
7
1
9
1
5
5
7
2
4
10
10
1
35.8
39.8
34.4
33.2
39.1
52.9
35.2
57.7
47.3
25.5
26.1
35.6
35.8
31.0
35.4
34.2
51.5
38.4
58.0
35.7
39.0
36.5
55.0
36.4
30.1
53.3
46.1
54.7
57.2
35.0
37.6
45.3
57.9
45.3
26.1
36.5
38.1
9,121
6,881
8,787
8,375
8,776
30,378
7,412
20,798
28,234
8,003
7,076
7,691
7,708
11,144
9,391
11,536
27,676
7,543
11,819
10,660
7,049
10,675
18,295
10,622
9,395
21,463
9,021
24,137
25,036
8,627
11,318
11,582
13,860
26,649
6,305
11,071
8,247
9
5
6
7
8
1
2
1
1
8
7
5
9
8
3
4
2
5
6
6
6
9
3
3
2
4
3
5
5
3
5
4
10
4
9
9
7
36.8
53.2
32.2
39.7
54.6
48.3
24.2
32.4
35.4
45.9
45.7
46.2
29.4
37.2
37.7
48.3
27.9
50.8
35.3
53.2
48.1
53.1
51.7
36.1
45.1
35.7
33.8
35.5
28.0
44.9
36.8
28.3
56.0
55.8
29.3
33.3
56.9
9,100
20,050
10,474
10,495
21,728
12,447
5,085
10,076
9,002
16,642
27,996
12,939
10,729
9,812
8,639
10,132
8,219
22,599
9,587
12,630
21,201
20,581
26,555
11,280
22,317
9,568
8,091
9,890
10,101
17,569
10,770
10,993
24,573
29,492
8,496
10,504
28,863
3
1
6
8
5
6
6
5
8
1
7
4
9
10
1
8
8
10
10
2
3
3
9
7
3
6
4
8
7
8
1
9
6
6
5
2
6
49.8
35.1
32.5
35.1
48.5
57.6
35.1
57.7
47.1
34.8
26.5
32.3
54.6
38.4
50.5
50.3
36.9
24.1
35.8
35.6
30.4
38.7
57.7
31.3
57.1
50.4
34.1
56.4
52.7
27.7
24.2
24.9
46.6
35.3
45.4
35.4
26.8
27,279
10,927
10,626
8,059
28,139
29,533
6,864
9,082
19,652
6,939
6,542
7,964
28,025
9,440
9,086
29,765
7,219
4,873
10,860
8,514
9,972
8,389
15,081
9,408
9,884
25,752
11,355
11,897
9,133
4,844
4,974
7,449
14,133
12,694
22,058
10,647
5,634
9
2
6
9
6
7
2
8
3
1
4
3
8
8
1
6
1
9
7
1
1
5
6
9
7
8
10
1
7
6
2
7
5
6
4
9
6
25.4
35.8
47.5
36.1
55.9
50.5
48.6
49.4
37.5
48.2
49.6
32.5
29.9
44.3
35.1
52.1
24.8
35.5
25.6
46.6
33.3
33.0
38.5
35.5
32.0
35.3
37.9
38.8
32.1
32.3
28.2
35.7
52.4
56.7
35.2
27.1
38.3
7,645
11,515
14,269
7,467
18,680
29,807
14,551
16,164
7,000
26,177
20,718
8,621
10,644
12,237
10,980
18,665
7,469
8,214
5,323
8,912
6,937
10,278
7,189
26,468
9,818
15,520
11,256
10,754
10,475
6,949
8,046
9,090
17,523
14,036
7,134
8,158
7,980
4
7
9
6
7
4
10
6
7
2
2
7
9
9
10
8
4
5
7
8
3
7
4
9
8
3
1
6
1
8
9
6
3
6
4
8
10
24.2
28.6
48.6
49.6
57.2
31.6
26.4
26.0
34.5
46.4
44.5
39.3
34.4
51.8
24.1
35.6
26.1
32.6
30.2
45.4
50.1
38.1
29.0
28.6
49.7
35.3
54.8
34.9
34.1
47.0
37.5
35.3
35.1
45.1
27.5
50.9
37.3
5,593
10,911
20,025
19,253
29,441
10,962
6,001
5,697
9,640
24,949
15,825
8,890
7,618
25,862
6,862
7,472
6,429
6,937
9,208
25,316
23,798
9,944
7,662
8,600
11,078
10,722
17,755
10,352
10,872
27,600
8,232
20,172
10,587
15,674
7,932
30,534
7,000
10
7
3
4
1
6
5
9
7
4
5
10
6
5
1
3
8
3
10
6
5
8
2
9
6
10
10
4
6
3
6
6
5
3
6
7
5
31.6
51.3
27.7
30.1
44.0
51.2
56.2
35.2
36.4
56.4
47.5
50.2
34.5
31.7
35.8
56.4
32.3
24.8
46.8
27.4
51.1
28.8
49.9
48.7
57.1
32.2
53.0
36.0
29.7
28.1
32.0
24.2
34.6
45.3
33.1
52.6
48.7
10,506
16,097
7,416
8,026
25,739
15,682
28,298
8,177
8,941
26,160
14,333
10,492
7,997
8,622
10,487
30,507
10,664
7,207
28,027
5,816
23,641
8,253
20,022
16,785
14,812
9,619
15,520
23,688
11,226
8,882
7,551
6,846
7,648
9,827
8,278
29,759
19,859
2
2
1
10
7
7
2
2
7
1
8
7
3
6
4
7
9
7
7
7
8
9
5
7
2
9
5
6
5
5
6
7
3
10
6
4
5
45.6
36.4
35.7
35.2
48.6
55.7
56.1
35.9
35.0
34.5
35.4
27.8
26.1
52.5
27.7
35.3
45.4
24.4
31.4
49.9
25.9
46.5
35.8
24.2
32.1
37.7
30.3
33.8
32.1
27.9
46.0
35.0
54.8
34.4
37.1
51.1
25.6
19,269
9,430
10,468
7,849
30,415
27,694
28,298
26,674
7,799
8,334
9,380
8,130
5,941
14,332
5,997
7,580
16,460
6,619
7,350
9,250
4,830
26,063
8,024
8,034
7,106
10,831
8,808
10,728
10,839
7,777
26,375
12,035
10,375
8,372
10,143
23,131
5,886
7
1
1
7
3
4
5
3
9
8
2
2
5
6
2
7
6
7
7
8
4
10
4
7
4
2
7
6
4
1
5
10
6
8
4
10
1
32.3
52.9
25.2
36.9
27.0
31.5
32.7
36.9
46.8
29.4
50.1
35.7
55.8
26.5
38.2
25.3
45.3
28.9
35.8
48.1
53.1
28.5
38.3
49.6
27.5
55.4
30.3
28.3
35.4
25.8
27.3
49.0
28.4
55.5
35.9
36.3
48.9
8,488
14,909
5,951
9,898
8,004
7,431
9,830
8,547
25,719
11,442
24,089
7,701
21,571
6,206
9,676
5,699
19,755
9,197
10,694
12,285
17,623
10,959
8,789
17,404
8,058
19,353
10,637
9,766
7,470
7,873
6,851
18,336
7,678
12,377
8,162
8,146
9,112
8
5
5
10
1
9
8
8
8
4
3
1
1
10
5
1
10
4
9
8
6
10
7
7
3
9
4
2
6
2
10
6
1
6
10
5
5
55.1
24.2
25.9
35.2
35.7
57.8
33.5
57.1
34.4
30.3
45.0
28.5
50.0
45.2
32.0
44.7
37.5
43.7
51.0
55.9
49.8
45.5
50.6
30.9
54.7
26.3
46.7
45.5
43.0
51.8
57.0
37.2
44.5
36.3
46.2
28.8
27.2
29,620
6,343
7,560
9,310
9,917
20,720
9,284
19,545
8,796
11,359
29,642
8,083
20,214
28,227
11,162
9,191
9,723
28,273
10,941
27,988
10,626
24,596
16,020
11,250
11,146
8,333
19,259
17,894
10,620
27,077
12,964
9,999
17,442
8,227
13,785
7,153
6,912
10
7
1
4
2
6
5
5
2
1
9
2
10
9
4
8
6
3
1
3
8
1
7
9
1
10
9
10
4
2
6
9
8
8
8
10
7
25.0
39.5
51.8
27.3
53.4
33.4
31.3
30.2
55.0
26.5
35.4
33.3
51.8
33.5
26.7
56.3
46.3
45.7
53.2
56.2
47.9
27.0
35.7
47.7
48.5
46.0
26.2
35.6
52.7
39.5
35.2
43.5
43.3
31.7
55.6
46.6
34.7
8,536
10,812
11,184
5,181
14,127
10,663
8,179
9,018
25,913
5,376
7,679
7,130
23,719
7,297
4,836
22,212
27,252
26,432
24,699
23,576
22,733
6,361
7,201
12,856
26,592
20,454
6,408
27,634
24,853
11,122
8,474
23,901
25,651
9,977
20,115
11,794
8,571
7
5
2
2
6
1
9
10
4
10
7
6
5
4
2
5
8
7
8
10
6
9
6
3
5
7
7
10
9
10
5
2
4
8
4
10
7
53.6
33.8
47.9
46.3
44.1
53.0
45.6
52.0
28.6
52.3
39.3
56.1
45.0
39.1
30.5
35.4
36.8
43.7
35.8
24.9
24.8
47.4
32.3
35.7
25.3
43.7
54.3
55.9
27.4
50.6
44.5
34.9
26.6
44.3
32.3
49.7
35.1
19,406
7,531
12,814
13,011
26,192
21,738
10,079
24,264
7,480
9,467
8,377
19,612
15,382
9,838
8,865
8,104
9,163
10,011
7,161
8,159
6,566
19,675
9,003
7,051
7,892
12,062
13,030
17,730
6,196
21,806
20,162
8,669
6,135
29,493
7,758
16,765
13,261
2
2
4
1
6
4
6
7
1
2
3
1
8
2
3
10
3
5
10
10
8
9
3
1
8
2
9
10
10
10
9
2
4
3
8
9
3
52.7
49.0
43.0
35.5
38.2
55.4
44.5
48.9
53.0
50.0
35.4
57.0
46.4
35.2
36.0
55.6
35.5
24.9
57.9
38.6
27.8
32.3
35.9
24.5
56.8
35.5
57.8
37.3
33.8
52.5
37.4
35.4
29.3
43.8
35.3
35.2
49.6
19,055
16,302
10,237
8,633
7,152
19,080
19,128
29,717
23,885
26,327
9,405
23,011
17,654
11,567
8,737
15,462
7,055
7,478
29,697
10,907
6,395
7,871
9,624
5,218
30,445
8,666
16,155
10,667
7,628
17,454
11,480
8,174
10,447
14,370
7,571
9,546
29,618
10
7
6
7
10
7
6
3
3
7
2
2
8
7
1
10
8
10
6
9
10
9
7
1
3
8
5
4
6
1
9
7
2
9
8
5
3
47.4
29.7
55.2
50.5
56.8
44.4
52.4
26.5
57.5
51.4
27.1
30.5
54.8
46.8
50.7
47.8
29.0
50.1
34.0
46.9
38.0
27.0
26.8
38.2
27.5
28.9
44.7
29.4
43.9
25.9
48.1
46.4
50.3
43.9
32.3
46.9
34.3
23,267
8,056
17,074
10,768
13,803
12,792
21,696
8,279
11,021
12,130
8,133
7,859
15,943
13,341
25,345
22,110
9,651
11,096
7,946
21,913
8,358
5,412
4,947
8,498
6,324
10,819
26,476
7,599
19,627
6,121
29,805
25,752
9,950
11,564
10,075
22,547
11,238
3
5
6
9
5
5
9
10
1
10
7
8
10
3
3
2
4
6
9
8
4
2
2
9
9
10
7
5
1
6
8
3
4
5
10
1
7
37.3
33.6
35.1
56.8
56.9
43.5
31.0
36.0
47.3
35.3
56.1
45.3
48.1
27.8
35.8
53.9
56.5
49.4
46.9
31.4
31.1
30.5
29.3
55.4
38.9
26.4
30.5
26.0
54.6
35.7
35.2
44.9
35.3
34.9
33.3
35.1
35.9
10,966
11,549
15,847
19,440
15,122
28,074
9,698
9,840
19,071
8,986
13,786
11,000
20,880
7,350
8,999
10,508
18,188
12,579
18,565
10,290
7,705
7,713
7,133
9,812
7,532
6,120
7,580
5,543
28,909
9,296
8,643
14,130
10,366
11,015
11,133
8,526
7,350
3
2
5
2
8
5
6
4
8
1
10
7
10
7
9
10
2
3
2
5
4
10
6
7
3
8
7
1
4
3
8
6
6
9
2
8
2
51.1
34.9
56.8
46.5
27.3
44.1
52.7
27.7
35.4
27.4
43.1
57.3
43.9
24.6
35.6
50.7
33.5
35.7
54.6
33.4
35.7
32.6
28.1
46.6
35.1
35.5
52.7
36.6
51.3
25.1
35.5
45.1
31.8
35.9
44.3
28.0
35.5
30,500
7,976
28,344
25,937
8,105
29,436
15,934
10,253
9,826
10,434
28,228
25,260
29,839
7,796
9,197
28,538
11,004
10,412
25,392
7,336
9,131
6,902
8,608
26,017
9,121
8,764
11,814
8,281
30,306
6,014
9,049
24,842
8,293
9,344
19,985
10,518
9,949
10
1
1
1
7
6
1
9
10
3
7
9
2
9
8
1
5
2
8
4
9
10
7
1
8
10
5
9
9
4
8
2
5
6
4
6
9
49.0
27.4
27.8
29.0
50.9
35.2
29.0
26.3
49.6
35.3
44.5
29.7
35.4
27.5
57.0
38.1
28.9
30.0
11,791
10,748
11,468
10,864
24,108
10,834
8,563
5,016
20,926
8,350
29,215
8,149
11,534
8,095
26,573
7,711
7,057
7,308
3
3
5
3
2
8
3
1
5
8
6
10
6
9
6
2
7
3
Delivery Time (Days)
29.73
29.34
34.07
27.62
28.78
30.84
32.96
30.01
29.03
27.34
26.27
30.08
30.09
35.88
33.24
34.04
32.11
35.74
28.52
25.63
36.87
29.32
27.71
27.79
32.46
31.60
28.72
23.38
30.23
28.15
30.53
36.42
40.31
27.16
29.51
28.66
36.25
32.18
31.43
33.19
31.67
34.30
Subgroup size = 5
33.59
28.56
25.83
29.98
35.38
30.33
28.17
26.82
28.23
33.34
33.32
34.48
27.93
29.26
28.76
31.34
27.61
33.66
26.04
30.52
34.20
31.73
Cycle Time
10.05
11.16
7.04
25.09
12.56
17.36
7.33
11.35
9.31
26.56
9.45
16.31
19.85
14.68
18.47
22.55
12.15
18.42
16.96
22.36
9.26
13.94
8.23
12.04
11.26
10.45
29.34
16.06
25.47
23.26
10.64
9.90
14.17
16.45
9.74
32.99
10.57
Subgroup size = 5
Day.
15-Mar
8-Mar
12-Mar
9-Mar
14-Feb
25-Feb
3-Mar
20-Feb
22-Feb
7-Mar
19-Mar
23-Mar
13-Feb
28-Feb
15-Feb
17-Mar
11-Mar
21-Feb
17-Feb
5-Mar
19-Feb
10-Mar
4-Mar
18-Feb
16-Feb
16-Mar
12-Feb
14-Mar
26-Feb
1-Mar
20-Mar
6-Mar
21-Mar
27-Feb
2-Mar
18-Mar
22-Mar
23-Feb
24-Feb
13-Mar
26-Mar
27-Mar
24-Mar
25-Mar
28-Mar
Number of cars
produced
1,140
990
690
1,320
1,260
540
1,110
950
960
1,080
1,290
1,230
600
990
1,110
990
850
1,050
540
1,020
980
1,170
1,230
780
630
750
900
780
780
630
570
1,200
540
1,170
900
810
780
1,350
840
1,110
630
1,380
1,260
780
1,080
Number of cars
inspected
76
66
46
88
84
36
74
38
64
72
86
82
40
46
74
66
40
70
36
68
34
78
82
52
42
42
60
52
52
42
38
80
36
78
60
54
52
90
56
74
42
92
84
52
72
Number of fixed
cars
7
6
8
2
4
8
7
3
9
9
12
6
14
7
5
7
9
6
12
14
7
5
2
6
12
13
11
8
14
10
3
7
11
5
5
7
13
8
6
15
16
1
9
6
9
29-Mar
1,290
86
8
Number of fixed
parts
11
8
15
8
16
13
10
11
14
15
12
9
16
14
14
8
20
11
14
18
17
11
8
9
21
19
15
9
21
14
8
10
15
12
10
19
17
8
10
20
19
22
14
10
19
18
Quarter
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
Sales
45,000
40,000
55,000
85,000
80,000
110,000
125,000
115,000
155,000
160,000
185,000
175,000
210,000
230,000
255,000
245,000
265,000
275,000

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