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