A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 111, and the sample standard deviation, s, is found to be 10. (a) Construct a 90% confidence interval about u if the sample size, n, is 17. (b) Construct a 90% confidence interval about u if the sample size, n, is 25. (c) Construct a 98% confidence interval aboutu if the sample size, n, is 17. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. (a) Construct a 90% confidence interval about u if the sample size, n, is 17. Lower bound: Unner bound
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 111, and the sample standard deviation, s, is found to be 10. (a) Construct a 90% confidence interval about u if the sample size, n, is 17. (b) Construct a 90% confidence interval about u if the sample size, n, is 25. (c) Construct a 98% confidence interval aboutu if the sample size, n, is 17. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. (a) Construct a 90% confidence interval about u if the sample size, n, is 17. Lower bound: Unner bound
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
Topic Video
Question
Solve this questions a-d please
Transcribed Image Text:A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 111, and the sample standard
deviation, s, is found to be 10.
(a) Construct a 90% confidence interval aboutu if the sample size, n, is 17.
(b) Construct a 90% confidence interval about u if the sample size, n, is 25.
(c) Construct a 98% confidence interval aboutu if the sample size, n, is 17.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Click the icon to view the table of areas under the t-distribution.
(a) Construct a 90% confidence interval about u if the sample size, n, is 17.
Lower bound: Upper bound:
(Use ascending order. Round to one decimal place as needed.)
Transcribed Image Text:5
0.727
0.920
1.156 1.476 2.015
2.571
2.757
3.365
4.032
4.773
5.893
5.208
4.785
4.501
4.297
4.144
6.869
6 0.718
7.
6.
0.906
0.896
0.889
0.883
0.879
1.134
1.119
1.108
1.440
1.943
7 0.711
8 0.706
6.
2.447
2.365
2.306
2.262
2.228
2.612
2.517
2.449
2.398
2.359
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
4.317
4.029
3.833
3.690
3.581
5.959
5.408
5.041
4.781
4.587
1.415
1.895
1.397
1.860
1.383 1.833
1.372
0.703
1.100
Area in
10
0.700
1.093
1.812
right tail
11
12
13
0.697
0.695
0.694
0.692
0.691
0.876
0.873
0.870
0.868
0.866
1.088
1.083
1.079
1.076
1.074
1.363 1.796
1.356
1.782
1.350 1.771
1.345 1.761
1.341
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.264
2.249
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
2.977
2.947
3.497
3.428
3.372
3.326
3.286
4.025
3.930
3.852
3.787
3.733
4.437
4.318
4.221
4.140
4.073
14
15
1.753
Table VI
16
17
18
19
20
0.690
0.689
0.688
0.688
0.687
0.865
0.863
0.862
0.861
0.860
1.071
1.069
1.067
1.066
1.064
1.337
1.746
1.740
1.330 1.734
1.328
2.120
2.110
2.101
2.093
2.086
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2.539
2.528
2.921
2.898
2.878
2.861
2.845
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
-Distribution
1.333
Area in Right Tail
1.729
1.325 1.725
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
1.000
0.816
3
21
22
23
24
25
0.686
0.686
0.685
0.685
0.859
0.858
0.858
0.857
0.856
1.063
1.061
1.060
1.059
1.058
1.323
1.321
1.319
1.318
1.316
1.721
1.717
1.714
2.080
2.074
2.069
2.064
2.060
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
2.831
2.819
2.807
2.797
2.787
3.135
3.119
3.104
3.091
3.078
3.527
3.505
3.485
3.467
3.450
3.819
3.792
3.768
3.745
3.725
1.376
1.963
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
2.776
2.571
15.894
4.849
3.482
2.999
2.757
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
4.604
4.032
127.321
14.089
7.453
5.598
4.773
318.309
22.327
10.215
7.173
5.893
636.619
31.599
12.924
8.610
6.869
1.061
1.386
0.765
0.741
0.727
0.978 1.250
1.711
1.708
4
0.941
1.190
0.920
1.156
0.684
0.684
26
27
28
29
30
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
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
6.
7.
0.718
0.906
0.896
0.889
0.883
0.879
1.134
1.119
1.108
1.100
1.093
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.262
2.228
2.612
2.517
0.711
0.706
0.703
2.449
2.398
2.359
3.143
2.998
2.896
2.821
2,764
3.707
3.499
3.355
3.250
3.169
4.317
4.029
3.833
3.690
3.581
5.208 . 5.959
4.785
4.501
4.297
4.144
5.408
5.041
4.781
4.587
0.684
0.683
0.683
0.683
2.763
2.756
2.750
6.
0.700
10
2.144
2.141
2.138
11
31
32
0.697
0.695
0.694
0.692
0.691
0.876
0.873
0.870
0.868
0.866
2.201
2.179
2.160
2.145
2.131
0.682
0.682
0.682
0.682
0.682
0.853
0.853
0.853
0.852
0.852
3.633
3.622
3.611
3.601
3.591
1.054
1.054
1.309
1.309
1.308
1.307
1.696
12
13
14
15
1.088
1.083
1.079
1.076
1.074
1.363
1.356
1.350
1.345
1.796
1.782
1.771
1.761
1.753
2.328
2.303
2.282
2.264
2.249
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
2.977
2.947
3.497
3.428
3.372
3.326
3.286
4.025
3.930
3.852
3.787
3.733
4.437
4.318
4.221
4.140
4.073
2.040
2.037
2.035
2.032
2.453
2.449
2.445
2.441
2.438
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
1.694
33
34
35
1.053
1.052
1.052
1.692
1.691
1.690
2.136
1.341
1.306
2.030
2.133
16
17
18
19
20
0.690
0.689
0.688
0.688
0.687
0.865
0.863
0.862
0.861
0.860
1.071
1.069
1.067
1.337
1.746
2.120
2.110
2.101
2.093
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2.539
2.528
3.252
3.222
3.197
3.174
3.153
36
37
0.681
0.681
2.921
2.898
2.878
2.861
2.845
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
0.852
0.851
0.851
0.851
0.851
1.052
1.051
1.051
1.050
1.050
1.306
1.305
1.304
1.304
1.303
1.688
1.687
1.686
1.685
1.684
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
2.125
2.123
2.434
2.431
2.429
2.426
2.423
2.719
2.715
2.712
2.708
2.704
2.990
2.985
2.980
2.976
2.971
3.333
3.326
3.319
3.313
3.307
3.582
3.574
3.566
3.558
3.551
1.333
1.740
1.734
1.328 1.729
1.325
1.330
38
0.681
1.066
1.064
39
0.681
0.681
1.725
2.086
40
21
22
0.686
0.859
0.858
0.858
0.857
0.856
1.063
1.061
1.060
1.059
1.323
1.721
2.080
2.074
2.069
2.064
2.060
2.189
2.183
2.177
2.172
2.518
2.831
2.819
2.807
2.797
2.787
3.135
3,119
3.104
3.091
3.078
3.527
3.505
3,485
3.467
3.450
3.819
3.792
3.768
3.745
3.725
2.937
2.915
2.899
2.887
2.878
3.261
3.232
3.211
3.195
3.183
3.496
3.460
3.435
3.416
3.402
50
0.679
0.679
0.678
0.678
0.677
0.849
0.848
0.847
0.846
0.846
1.047
1.299
1.296
1.294
1.292
1.291
1.676
1.671
2.009
2.000
2.109
2.099
2.403
2.390
2.381
2.374
2.368
2.678
2.660
0.686
0.685
0.685
0.684
1.321
1.717
1.319 1.714
1.318 1.711
2.508
2.500
2.492
2.485
60
1.045
23
24
25
70
80
90
1.044
1.043
1.042
1.667
1.664
1.662
1.994
1.990
1.987
2.093
2.088
2.084
2.648
2.639
2.632
1.058
1.316
1.708
2.167
26
27
28
29
0.684
0.856
0.855
0.855
0.854
0.854
1.058
1.057
1.056
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
2.479
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
1.660
1.290
1.646
1.282
1.282 1.645
2.626
2.581
2.576
2.871
100
1000
0.677
0.675
0.674
0.845
0.842
0.842
1.042
1.037
1.036
1.984
1.962
1.960
2.081
2.056
2.054
2.364
2.330
2326
3.174
3.098
3.090
3.390
3.300
3.291
0.684
0.683
0.683
0.683
2.473
2.467
2.462
2.813
2.807
30
1.055
2.147
2.457
3.646
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
JP
31
32
0.682
0.682
0.853
0.853
1.054
1.054
1.309
1.309
2.144
2.141
2.453
2.449
1.696
2.040
2.037
2.744
2.738
3.022
3.375
3.365
3.633
3.622
1.694
3.015
Area in Right Tail
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman