A simple random sample of size n is drawn. The sample mean, is found to be 18.9, and the sample standard deviation, is found to be 4.1. Construct a 95% confidence interval about mean if the sample size, n, is 34. lower bound:__ upper bound:__ (use ascending order. Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A simple random sample of size n is drawn. The sample mean, is found to be 18.9, and the sample standard deviation, is found to be 4.1. Construct a 95% confidence interval about mean if the sample size, n, is 34.

lower bound:__ upper bound:__
(use ascending order. Round to two decimal places as needed.)

1.303
1.684
2.021
2.123
2.423
2.704
2.971
3.307
3.551
40
0.681
0.851
1.050
3.261
3.232
3.211
3.195
3.183
3.496
3.460
3.435
3.416
3.402
2.678
2.660
1.299 1.676
1.671
1.667
2.009
2.000
1.994
1.990
1.987
2.109
2.099
2.093
2.088
2.084
2.403
2.390
2.381
2.374
2.368
2.937
2.915
2.899
2.887
50 0.679
0.849
1.047
1.045
1.044 1.294
1.043
1.042
60
0.679
0.848
1.296
70 0.678 0.847
80 0.678
90
1.664
1.662
2.648
2.639
2.632
0.846
1.292
2.878
0.677
0.846
1.291
2.364
2.330
2.326
2.626
2.581
2.576
2.871
2.813
2.807
3.174
3.098
3.090
3.390
3.300
3.291
2.081
1.042
1.037
1.036
1.290
1.282
1.282
1.660
1.646
1.645
1.984
1.962
1.960
100
0.677
0.845
2.056
2.054
0.842
0.675
0.674
1000
0.842
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
df
0.25
0.20
0.15
Area in Right Tail
Transcribed Image Text:1.303 1.684 2.021 2.123 2.423 2.704 2.971 3.307 3.551 40 0.681 0.851 1.050 3.261 3.232 3.211 3.195 3.183 3.496 3.460 3.435 3.416 3.402 2.678 2.660 1.299 1.676 1.671 1.667 2.009 2.000 1.994 1.990 1.987 2.109 2.099 2.093 2.088 2.084 2.403 2.390 2.381 2.374 2.368 2.937 2.915 2.899 2.887 50 0.679 0.849 1.047 1.045 1.044 1.294 1.043 1.042 60 0.679 0.848 1.296 70 0.678 0.847 80 0.678 90 1.664 1.662 2.648 2.639 2.632 0.846 1.292 2.878 0.677 0.846 1.291 2.364 2.330 2.326 2.626 2.581 2.576 2.871 2.813 2.807 3.174 3.098 3.090 3.390 3.300 3.291 2.081 1.042 1.037 1.036 1.290 1.282 1.282 1.660 1.646 1.645 1.984 1.962 1.960 100 0.677 0.845 2.056 2.054 0.842 0.675 0.674 1000 0.842 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 df 0.25 0.20 0.15 Area in Right Tail
Area in
right tail
Table VI
t-Distribution
Area in Right Tail
df
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
1 1.000 T.376 1.963 3.078
2 0.816 1.061 1.386 1.886
(0.765 0.978
4 0.741 0.941 1.190 1.533 2.132
5 0.727 0.920
6.314
2.920
12.706
15.894
4.849
3.482 4.541
2.999
2.757
127.321
318.309
14.089 22.327 31.599
10.215
7.173
5.893
31.821
63.657
636.619
4.303
6.965 9.925
1.250 1.638
5,841
3.747 4.604
4.032
7.453
5.598
4.773
12.924
8.610
6.869
2.353
3.182
2.776
2.571
1.156
1.476
2.015
3.365
6.
0.718
0.906
1.134 1.440
3.707
3.499
3.355
3.250
3,169
5.959
3.143
2.998
2.896
2.821
2.764
4.317
4,029
3.833
3.690
3.581
1.943
1.895
5.208
2.447
2.365
2.306
2.262
2.228
2.612
7 0.711 0.896
1.119
1.108 1.397
1.100
1.093
4.785
4.501
4.297
4.144
2.517
2.449
1.415
5.408
5.041
4.781
4.587
8 0.706 0.889
0.703 0.883
1.860
1.833
1.383
2.398
2.359
10
0.700
0.879
1.372
1.812
11 0.697 0.876 1.088
12 0.695 0.873 1.083 1.356
3.106
3.055
3.012
2.977
2.947
3.497
3.428
3.372
4.025
3.930
4.437
4.318
1.363
1.796
2.201
2.328
2.303
2.718
2.681
2.650
13 0.694
14 0.692 0.868
15 0.691
1.782
0.870 1.079 1.350 1.771
1.076 1.345 1.761
1.753
2.179
2.160
2.145
2.131
4.221
4.140
4.073
2.282
3.852
3.787
3.733
2.264
2.624
3.326
0,866
1.074
1.341
2.249
2.602
3.286
0.690
17 0.689
18
16
1.071
0.865
0.863
0.862
1.337
1.333
1.330
1.328
1.325
2.120
2.110
2.101
2.093
2.086
1.746
1.740
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2.539
2.528
2.921
3.252
3.686
3.646
3.610
3.579
4.015
3.965
3.922
3.883
3.850
1.069
2.898
2.878
2.861
2.845
3.222
3.197
3.174
3.153
0.688
1.067
1.734
1.729
19
0.688
0.861
1.066
20
0.687
0.860
1.064
1.725
3.552
21
0.686
0.859
0.858
0.858
0.857
0.856 1.058
1.063
1.323
1.061 1.321
1.319
1.318
1.721
1.717
1.714
1.711
2.080
2.074
2.069
2.064
2.060
2.189
2.183
2.177
2.172
2.167
2.518
2.831
2.819
3.135
3.527
3.505
3.819
3.792
3.768
3.745
3.725
22
0.686
23 0.685
24 0.685
2.508
2.500
2.492
3.119
3.104
3.091
3.078
1.060
2.807
2.797
2.787
3.485
1.059
3.467
25
0.684
1.316
1.708
2.485
3.450
0.684
26
27 0.684
28
29
30
0.683
0.683
0.683
0.856
0.855
0.855
0.854
0.854
1.058
1.057
1.056
1.055
1.055
1.315
1.314
1.313
1.311
1.310
1.706
1.703
1.701
1.699
1.697
2.056
2.052
2.048
2.045
2.042
2.162
2.158
2.154
2.150
2.147
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.067
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
3.707
3.690
3.674
3.659
3.646
0.682
32 0.682
33 0.682
31
1.309
1.309
0.853
1.054
2.040
2.037
2.035
2.032
2.030
1,696
2.144
2.141
2.138
2.136
2.133
2.453
2.449
2.445
2.441
2.744
2.738
2.733
2.728
2.724
3.022
3.015
3.008
3.002
2.996
3.375
3.365
3.356
3.348
3.340
3.633
3.622
3.611
3.601
3.591
0.853
1.054
0.853 1.053 1.308
34 0.682 0.852 1.052 1.307 1.691
0.852 1.052
1.694
1.692
35 0.682
1.306
1.690
2.438
36 0.681
37 0.681
38 0.681
0.681
0.852 1.052 1.306
0.851 1.051 1.305
0.851 1.051 1.304
0.851 1.050
1.688
1.687
1.686
1.685
2.028
2.026
2.024
2.023
2.131
2.129
2.127
2.125
2.434
2.431
2.429
2.426
2.719
2.715
2.712
2.708
2.990
2.985
2.980
2.976
3.333
3.326
3.319
3.313
3.582
3.574
3.566
3.558
39
1.304
Transcribed Image Text:Area in right tail Table VI t-Distribution Area in Right Tail df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1 1.000 T.376 1.963 3.078 2 0.816 1.061 1.386 1.886 (0.765 0.978 4 0.741 0.941 1.190 1.533 2.132 5 0.727 0.920 6.314 2.920 12.706 15.894 4.849 3.482 4.541 2.999 2.757 127.321 318.309 14.089 22.327 31.599 10.215 7.173 5.893 31.821 63.657 636.619 4.303 6.965 9.925 1.250 1.638 5,841 3.747 4.604 4.032 7.453 5.598 4.773 12.924 8.610 6.869 2.353 3.182 2.776 2.571 1.156 1.476 2.015 3.365 6. 0.718 0.906 1.134 1.440 3.707 3.499 3.355 3.250 3,169 5.959 3.143 2.998 2.896 2.821 2.764 4.317 4,029 3.833 3.690 3.581 1.943 1.895 5.208 2.447 2.365 2.306 2.262 2.228 2.612 7 0.711 0.896 1.119 1.108 1.397 1.100 1.093 4.785 4.501 4.297 4.144 2.517 2.449 1.415 5.408 5.041 4.781 4.587 8 0.706 0.889 0.703 0.883 1.860 1.833 1.383 2.398 2.359 10 0.700 0.879 1.372 1.812 11 0.697 0.876 1.088 12 0.695 0.873 1.083 1.356 3.106 3.055 3.012 2.977 2.947 3.497 3.428 3.372 4.025 3.930 4.437 4.318 1.363 1.796 2.201 2.328 2.303 2.718 2.681 2.650 13 0.694 14 0.692 0.868 15 0.691 1.782 0.870 1.079 1.350 1.771 1.076 1.345 1.761 1.753 2.179 2.160 2.145 2.131 4.221 4.140 4.073 2.282 3.852 3.787 3.733 2.264 2.624 3.326 0,866 1.074 1.341 2.249 2.602 3.286 0.690 17 0.689 18 16 1.071 0.865 0.863 0.862 1.337 1.333 1.330 1.328 1.325 2.120 2.110 2.101 2.093 2.086 1.746 1.740 2.235 2.224 2.214 2.205 2.197 2.583 2.567 2.552 2.539 2.528 2.921 3.252 3.686 3.646 3.610 3.579 4.015 3.965 3.922 3.883 3.850 1.069 2.898 2.878 2.861 2.845 3.222 3.197 3.174 3.153 0.688 1.067 1.734 1.729 19 0.688 0.861 1.066 20 0.687 0.860 1.064 1.725 3.552 21 0.686 0.859 0.858 0.858 0.857 0.856 1.058 1.063 1.323 1.061 1.321 1.319 1.318 1.721 1.717 1.714 1.711 2.080 2.074 2.069 2.064 2.060 2.189 2.183 2.177 2.172 2.167 2.518 2.831 2.819 3.135 3.527 3.505 3.819 3.792 3.768 3.745 3.725 22 0.686 23 0.685 24 0.685 2.508 2.500 2.492 3.119 3.104 3.091 3.078 1.060 2.807 2.797 2.787 3.485 1.059 3.467 25 0.684 1.316 1.708 2.485 3.450 0.684 26 27 0.684 28 29 30 0.683 0.683 0.683 0.856 0.855 0.855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.313 1.311 1.310 1.706 1.703 1.701 1.699 1.697 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.150 2.147 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 0.682 32 0.682 33 0.682 31 1.309 1.309 0.853 1.054 2.040 2.037 2.035 2.032 2.030 1,696 2.144 2.141 2.138 2.136 2.133 2.453 2.449 2.445 2.441 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 3.375 3.365 3.356 3.348 3.340 3.633 3.622 3.611 3.601 3.591 0.853 1.054 0.853 1.053 1.308 34 0.682 0.852 1.052 1.307 1.691 0.852 1.052 1.694 1.692 35 0.682 1.306 1.690 2.438 36 0.681 37 0.681 38 0.681 0.681 0.852 1.052 1.306 0.851 1.051 1.305 0.851 1.051 1.304 0.851 1.050 1.688 1.687 1.686 1.685 2.028 2.026 2.024 2.023 2.131 2.129 2.127 2.125 2.434 2.431 2.429 2.426 2.719 2.715 2.712 2.708 2.990 2.985 2.980 2.976 3.333 3.326 3.319 3.313 3.582 3.574 3.566 3.558 39 1.304
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