A simple random sample of size n is drawn. The sample mean, x, is found to be 18.2, and the sample standard deviation, s, is found to be 4.5. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about p if the sample size, n, is 35. 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, x, is found to be 18.2, and the sample standard deviation, s, is found to be 4.5. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about p if the sample size, n, is 35. 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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Question
Transcribed Image Text:A simple random sample of size n is drawn. The sample mean, x, is found to be 18.2, and the sample standard deviation, s, is found to be 4.5.
Click the icon to view the table of areas under the t-distribution.
(a) Construct a 95% confidence interval about u if the sample size, n, is 35.
Lower bound: ; Upper bound:
(Use ascending order. Round to two decimal places as needed.)
Transcribed Image Text:-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
1.963
1.386
1.376
3.078
12.706
15.894
31.821
6.965
4.541
63.657
127.321
318.309
22.327
10.215
7.173
5.893
1.000
6.314
2.920
636.619
31.599
12.924
8.610
6.869
2
0.816
1.061
1.886
4.303
4.849
9.925
5.841
4.604
4.032
14.089
0.765
2.353
2.132
3.482
0.978
0.941
1.250
1.190
1.156
1.638
1.533
3.182
2.776
2.571
7.453
5.598
4
0.741
2.999
3.747
0.727
0.920
1.476
2.015
2.757
3.365
4.773
5.959
5.408
0.718
0.906
0.896
1.134
1.119
1.108
1.943
1.895
2.447
2.365
2.612
2.517
3.143
2.998
3.707
3.499
3.355
3.250
3.169
4.317
4.029
3.833
3.690
3.581
6
0.711
1.440
5.208
1.415
4.785
8
0.706
0.703
0.889
1.397
1.860
2.306
2.262
2.228
2.449
2.398
2.896
2.821
4.501
4.297
5.041
0.883
1.100
1.383
1.833
4.781
10
0.700
0.879
1.093
1.372
1.812
2.359
2.764
4.144
4.587
1.796
1.782
3.106
3.055
4.437
4.318
11
0.697
0.876
1.088
1.363
2.201
2.328
2.303
2.282
2.718
2.681
2.650
2.624
2.602
3.497
3.428
3.372
3.326
4.025
3.930
12
0.695
0.873
1.083
1.356
2.179
13
14
0.694
0.692
0.870
1.079
1.076
1.350 1.771
1.761
1.753
2.160
3.012
3.852
3.787
3.733
4.221
0.868
1.345
2.145
2.264
2.977
4.140
15
0.691
0.866
1.074
1.341
2.131
2.249
2.947
3.286
4.073
1.071
1.069
2.235
3.252
3.222
3.197
16
0.690
0.865
0.863
0.862
0.861
0.860
1.337
1.746
2.120
2.583
2.567
2.921
3.686
4.015
3.965
3.922
3.883
3.850
0.689
1.740
2.110
2.898
17
18
1.333
1.330
1.328
1.325
2.224
2.214
3.646
3.610
0.688
1.067
1.734
2.101
2.552
2.878
19
20
2.093
2.086
3.174
3.153
0.688
1.066
1.729
2.205
2.539
2.861
3.579
0.687
1.064
1.725
2.197
2.528
2.845
3.552
0.859
0.858
1.721
1.717
1.714
3.819
3.792
3.768
21
0.686
0.686
0.685
1.063
1.323
2.080
2.189
2.183
2.177
2.518
2.831
2.819
2.807
2.797
2.787
3.135
3.119
3.527
22
1.061
1.060
1.321
1.319
1.318
1.316
2.074
2.069
2.508
2.500
2.492
2.485
3.505
23
0.858
0.857
0.856
3.104
3.485
24
0.685
0.684
1.059
1.711
2.064
2.172
3.091
3.467
3.745
25
1.058
1.708
2.060
2.167
3.078
3.450
3.725
2.162
2.479
2.473
26
0.684
0.856
1.058
1.315
1.314
1.313
1.706
1.703
2.056
2.052
2.779
3.067
3.057
3.435
3.707
27
0.684
0.855
1.057
2.158
2.771
2.763
2.756
2.750
3.421
3.690
0.683
0.683
0.683
0.855
0.854
0.854
3.674
3.659
3.646
1.056
2.154
28
29
30
1.701
1.699
1.697
2.048
2.045
2.042
2.467
2.462
2.457
3.047
3.038
3.030
3.408
3.396
3.385
1.055
1.311
2.150
1.055
1.310
2.147
0.682
0.682
0.853
0.853
2.744
2.738
1.696
31
32
1.054
1.054
1.309
1.309
2.040
2.037
2.035
2.144
2.141
2.138
2.453
2.449
2.445
3.022
3.015
3.375
3.365
3.633
3.622
1.694
3.356
3.348
3.340
1.692
33
34
0.682
0.682
0.682
0.853
0.852
0.852
1.053
1.052
1.052
1.308
1.307
2.733
2.728
3.008
3.002
2.996
3.611
3.601
3.591
1.691
2.032
2.136
2.441
35
1.306
1.690
2.030
2.133
2.438
2.724
0.852
0.851
1.052
1.051
3.333
3.326
36
0.681
1.306
1.688
2.028
2.026
2.131
2.129
2.434
2,719
2.715
2.712
2.708
2.990
2.985
3.582
2.431
2.429
2.426
37
0.681
1.305
1.687
3.574
1.051
1.050
1.050
38
0.681
0.851
0.851
0.851
1.304
1.686
2.024
2.023
2.127
2.125
2.123
2.980
2.976
3.319
3.566
39
0.681
1.304
1.685
3.313
3.558
40
0.681
1.303
1.684
2.021
2.423
2.704
2.971
3.307
3.551
50
60
3.496
3.460
0.679
0.849
1.047
1.299
1.296
1.676
2.009
2.000
2.109
2.099
2.403
2.678
2.660
2.937
3.261
0.679
0.848
1.045
1.671
2.390
2.915
3.232
70
0.678
0.847
1.044
1.043
1.042
1.294
1.667
1.994
2.093
2.381
2.648
2.639
2.632
2.899
3.211
1.664
1.662
3.435
3.416
3.402
80
0.678
2.887
3.195
1.292
1.291
1.990
2.088
2.374
0.846
0.846
90
0.677
1.987
2.084
2.368
2.878
3.183
1.042
1.037
1.036
3.174
3.098
3.090
100
0.677
0.845
1.290
1.282
1.282
1.660
1.984
2.081
2.364
2.626
2.581
2.576
2.871
3.390
2.813
2.807
3.300
3.291
1000
0.675
0.674
0.842
1.646
1.962
2.056
2.054
2.330
0.842
1.645
1.960
2.326
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
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