1. One year, the mean age of an inmate on death row was 41.8 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 39.9, with a standard deviation of 9.2. 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) (2) 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? A. Since the mean age from the earlier year is contained in the interval, there is not sufficient evidence to conclude that B. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the OC. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude 1 D. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that

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1. One year, the mean age of an inmate on death row was 41.8 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
39.9, with a standard deviation of 9.2. 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.
Но: (1)
(2)
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 not sufficient evidence to conclude that
O B. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the
O C. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude 1
D. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that
1: Table of Critical t-Values
Transcribed Image Text:1. One year, the mean age of an inmate on death row was 41.8 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 39.9, with a standard deviation of 9.2. 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. Но: (1) (2) 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 not sufficient evidence to conclude that O B. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the O C. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude 1 D. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that 1: Table of Critical t-Values
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: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)
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