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Confidence interval for mean of cycle time

CycleTime
67.696
56.684
64.118
53.158
66.609 Question
66.623
47.507 What is the confidence interval for the Cycle Time?
76.022
67.497
38.815
59.449
49.47
51.259
55.991
44.522
89.973
66.651
54.697
77.258
18.505
58.354
24.056
50.781
84.328
70.17
66.169
48.589
65.022
40.901
85.209
68.254
73.03
50.591
57.122
73.947
62.916
98.015
78.117
39.751
70.301
76.673
59.277
87.512
59.229
61.55
67.78
59.198
28.647
63.544
47.459
68.739
29.222
63.522
69.411
72.396
53.882
26.964
47.218
46.669
85.006
71.161
53.864
57.556
55.624
48.815
21.508
44.29
38.013
41.075
66.592
63.447
77.336
53.503
68.255
43.569
33.972
57.511
69.865
63.247
55.694
73.131
72.573
74.896
50.01
49.846
59.644
65.027
39.058
56.618
62.925
103.231
56.794
53.151
62.72
40.079
31.849
71.871
55.793
64.184
47.144
64.014
42.062
48.922
71.297
61.066
47.423
35.19
69.359
48.346
33.544
67.417
56.183
51.94
74.685
45.27
55.389
94.662
70.715
67.603
69.612
61.514
57.055
84.693
53.667
58.446
80.699
64.136
64.793
61.135
73.494
66.614
59.095
74.696
68.3
31.323
51.932
75.992
57.286
68.904
61.65
53.617
62.123
78.04
51.388
44.911
75.386
56.406
53.547
56.606
50.887
81.212
40.392
60.091
81.286
81.582
51.615
56.9
31.143
50.805
45.152
74.472
48.67
88.885
59.686
43.274
64.137
61.269
58.773
59.736
78.872
56.928
67.96
37.053
46.078
66.722
42.384
48.927
74.32
36.541
50.68
74.321
63.484
63.127
47.178
53.595
61.677
43.241
47.774
70.096
87.193
65.319
47.02
38.281
63.887
56.251
26.228
57.368
1.401
47.663
99.456
57.876
37.594
56.748
57.181
62.446
50.813
71.325
41.623
61.499
83.381
76.929
55.382
47.488
77.191
63.309
53.481
92.115
54.707
91.353
72.649
54.468
48.664
84.307
64.286
30.557
56.076
56.066
56.182
43.761
42.373
69.073
48.987
63.91
28.758
75.813
36.553
69.541
65.391
33.721
51.313
52.459
41.029
84.381
71.985
48.787
75.616
60.931
70.507
80.464
52
74.203
54.049
74.245
42.578
42.447
67.174
46.806
61.997
44.185
52.845
64.288
37.102
56.168
56.055
95.858
42.702
39.36
46.539
69.458
71.083
18.133
48.286
71.352
51.336
62.886
63.251
60.133
49.582
60.546
54.842
72.868
57.957
70.544
83.223
79.217
55.28
54.008
58.657
61.813
100.143
58.177
68.705
56.125
46.949
35.482
55.109
62.272
47.362
71.543
47.02
80.314
48.769
72.074
41.878
67.461
57.251
66.81
73.352
78.46
52.09
71.605
76.129
44.337
53.416
59.648
43.665
68.18
71.241
75.914
78.536
37.397
37.243
84.774
52.858
64.767
67.87
56.492
48.141
59.25
50.192
65.239
47.55
65.562
47.596
61.905
69.687
68.886
55.967
46.433
58.293
77.9
88.174
69.807
70.417
46.839
48.992
72.173
83.61
72.855
63.279
66.042
67.866
62.404
57.286
40.442
48.406
65.123
44.363
80.469
75.106
77.081
34.268
36.328
35.882
53.383
86.579
62.536
30.701
57.715
80.699
39.027
60.187
87.711
50.065
68.58
85.818
43.827
73.613
72.217
62.859
46.989
48.047
30.748
58.274
38.672
62.717
64.331
55.263
52.385
43.011
53.508
74.639
22.952
74.596
47.081
70.726
47.984
95.039
34.675
54.507
71.668
62.241
49.453
44.778
25.544
50.71
51.177
57.826
40.023
71.834
62.733
60.297
67.578
58.411
67.879
75.257
91.566
73.1
53.341
56.939
66.39
35.072
99.6
64.449
63.388
97.863
59.839
29.956
86.532
59.712
68.732
67.246
45.004
67.031
68.938
48.413
43.719
61.375
72.885
29.7
63.197
40.087
60.847
60.395
60.783
43.065
55.244
66.447
49.213
59.138
49.71
79.65
86.198
84.237
62.373
71.043
59.008
63.861
76.156
68.675
13.48
57.584
56.457
32.302
72.401
50.104
65.464
52.508
33.895
32.067
62.887
30.724
55.114
53.23
82.046
65.339
38.328
71.234
69.145
63.389
44.979
50.354
48.738
72.557
39.017
55.344
55.245
48.567
95.594
76.93
81.796
42.286
37.509
68.686
53.346
59.13
35.188
52.116
62.487
55.679

Solution Summary

The solution gives the complete steps for the construction of confidence interval for cycle time.

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