One year, the mean age of an inmate on death row was 39.1 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 37.1, with a standard deviation of 9.5. Construct a 95% confidence interval about the mean age. What does the interval imply? Click the icon to view the table of critical t-values. Choose the correct hypotheses. Họ: (1) (2) H: (3) (Type integers or decimals. Do not round.) (4) Construct a 95% confidence interval about the mean age. With 95% confidence, the mean age of a death row inmate is between years and years. (Round two decimal places as needed.) What does the interval imply? O A. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age had changed. O B. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that the mean age had changed. O C. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had changed. O D. Since the mean age from the earlier year is contained in the interval, there is not sufficient evidence to conclude that the mean age had changed.
One year, the mean age of an inmate on death row was 39.1 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 37.1, with a standard deviation of 9.5. Construct a 95% confidence interval about the mean age. What does the interval imply? Click the icon to view the table of critical t-values. Choose the correct hypotheses. Họ: (1) (2) H: (3) (Type integers or decimals. Do not round.) (4) Construct a 95% confidence interval about the mean age. With 95% confidence, the mean age of a death row inmate is between years and years. (Round two decimal places as needed.) What does the interval imply? O A. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age had changed. O B. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that the mean age had changed. O C. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had changed. O D. Since the mean age from the earlier year is contained in the interval, there is not sufficient evidence to conclude that the mean age had changed.
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
Transcribed Image Text:Area in
right tail
t-Distribution
Area in Right Tail
Degrees of
Freedom
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
0.765
0.741
0.727
1.376
1.061
0.978
0.941
0.920
1.963
1.386
1.250
1.190
1.156
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
127.321 318.309 636.619
22.327
10.215
7173
5.893
14.089
7.453
5.598
4.773
31.599
12.924
8.610
6.869
0.718
0.711
0.706
0.703
0.700
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
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
4.785
4.501
4.297
4.144
5.959
5.408
5.041
4.781
4.587
7
8
10
0.697
0.695
0.694
0.692
0.691
1.363
1.356
1.350
1.345
1.341
1.796
1.782
1.771
1.761
1.753
2.328
2.303
2.282
2.264
2.249
0.876
1.088
11
12
13
14
15
2.201
2.179
2.160
2.145
2.131
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
0.873
1.083
1.079
0.868 1.076
0.866
0.870
1.074
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
1.333
1.330
1.328
1.325
1.746
1.740
1.734
1.729
1.725
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
21
22
23
24
25
0.686
0.686
0.685
0.685
0.684
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
1.711
1.708
2.080
2.074
2.069
2.064
2.060
2.189
2.183
2.177
2.172
2.167
2.518
2.506
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
0.856
0.855
2.162
2.158
2.154
2.150
2.147
1.058
0.684
0.684
0.683
0.683
0.683
1.057
0.855 1.056
0.854 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
2.479
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
27
28
29
30
0.854
1.055
1.054
1.054
1.053
1.052
1.052
3.375
3.365
3.356
3.348
3.340
31
0.853
0.853
0.853
0.852
0.852
1.309
1.309
1.308
1.307
1.306
2.040
2.037
2.035
2.032
2.030
2.144
2.141
2.138
2.136
2.133
2.453
0.682
0.682
0.682
0.682
0.682
1.696
1.694
1.692
1.691
1.690
2.744
2.738
2.733
2.728
2.724
3.022
3.015
3.008
3.002
2.996
3.633
3.622
3.611
3.601
3.591
32
33
2.449
2.445
2.441
2.438
34
35
36
37
38
39
40
0.681
0.681
0.681
0.681
0.681
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
0.679
0.679
0,678
0.678
0.677
0.849
0.848
0.847
0.846
0.846
1.047
1.045
1.044
1.043
1.042
1.299
1.296
1.294
1.292
1.291
1.676
1.671
1.667
1.664
1.662
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
2.878
3.261
3.232
3.211
3.195
3.183
3.496
3.460
3.435
3.416
3.402
50
2.678
2.660
2.648
2.639
2.632
60
70
80
90
100
1000
0.677
0.675
0.674
0.845
0.842
0.842
1.042
1.037
1.036
1.290
1.282
1.282
1.660
1.646
1.645
1.984
1.962
1.960
2.081
2.056
2.054
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
Degrees of 0.25
Freedom
0.20
0.15
0.10
(0.05
0.025
0.02
0.01
0,005
0.0025
0.001
(0.0005
t-Distribution
Area in Right Tail
(1)
(2)
(4)
Transcribed Image Text:1. One year, the mean age of an inmate on death row was 39.1 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is
37.1, with a standard deviation of 9.5. Construct a 95% confidence interval about the mean age. What does the interval imply?
1
Click the icon to view the table of critical t-values.
Choose the correct hypotheses.
Ho: (1)
H1: (3).
(Type integers or decimals. Do not round.)
(4)
Construct a 95% confidence interval about the mean age.
With 95% confidence, the mean age of a death row inmate is between
years and
years. (Round to two decimal places as needed.)
What does the interval imply?
O A. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age had changed.
B. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that the mean age had changed.
C. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had changed.
D. Since the mean age from the earlier year is contained in the interval, there is not sufficient evidence to conclude that the mean age had changed.
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