One year, the mean age of an inmate on death row was 41.1 years. A sociologist wondered whether the mean age of a death-row inmate has changed since finds that their mean age is 39.8, with a standard deviation of 9.1. 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. 4 Choose the correct hypotheses. KIXED Ho ▼ H₂ V (Type integers or decimals. Do not round.) 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? OA. 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 OB. 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. OC. 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. OD. 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.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
Publisher:Amos Gilat
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One year, the mean age of an inmate on death row was 41.1 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 39.8, with a standard deviation of 9.1. 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.
his
Choose the correct hypotheses.
Ho-
H₁
(Type integers or decimals. Do not round.)
Construct a 95% confidence interval about the mean age.
With 95% confidence, the mean age of a death row inmate is between
What does the interval imply?
years and
years. (Round to two decimal places as needed.)
OA. 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.
OB. 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
OC. 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.
OD. 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
Transcribed Image Text:One year, the mean age of an inmate on death row was 41.1 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 39.8, with a standard deviation of 9.1. 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. his Choose the correct hypotheses. Ho- H₁ (Type integers or decimals. Do not round.) Construct a 95% confidence interval about the mean age. With 95% confidence, the mean age of a death row inmate is between What does the interval imply? years and years. (Round to two decimal places as needed.) OA. 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. OB. 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 OC. 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. OD. 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
t-Distribution Critical Values Table
Degrees of
Freedom 0.25
STKIE MAANS SERRA
13
14
15
16
18
19
20
0.718 0.906 1.134
0.711 0.896 1.119
0.706 0.889 1.108
0.703 0.883 1.100
0.700 0.879 1.093
0.697
right tail
0.20 0.15 0.10
1.000 1.376 1.963 3,078 6.314
-0.816 1061 1.386
2.920
1.886
0.765
1.250
0.978
2.353
1.638
0.741
0.727 0.920
1.533
2.132
1.190
0.941
1.156
1.476
2.015
0.695
0.694
0.692
0.691
0.690
0.689
0.688
0.688
0.687
0.876
0.873
0.870
0.868
0.866
***
1.440
1.415
1.397
1.383
1.372
r-Distribution
Area in Right Tail
0.05 0.025 0.028
0.865 1.071
1.337
0.863
1.069
1.333
0.862
1.067
1.330
0.861
1.066 1.328
0.860 1064
1.325
1.943
1.805
1.860
1.833
1812
1.088
1.363 1.796
1.083
1.356
1.782
1.350
1.079
1.771
1.076
1.345
1.761
1074
1.341
1.753
1.746
1.740
1.734
1.729
1.725
2.447
2.612
2.365
2.517
2.306
2.449
2.262
2.398
2.228 2.359
12.706 15.894 31.821 63.657 127321 318.309
4.303 4.849 6.965
22.327
9.925 14.089
4.541 5.841 7.453
3.182
3.482
10.215
2.776
2.999
3.747
4.604
5.598
2.571
2.757
3.365
4.032
4.773
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.264
2.249
0.01
2.120
2.235
2.110 2.224
2.101
2.214
2.093
2.205
2.086
2.197
3.143
2.098
2.896
2.821
2.764
0.005 0.025 0.01 0.0
2.583
2.567
2.552
2.530
2.528
3.707
3.499
3.355
3.250
3.169
2.718
3.106
2.681 3.055
2.650
3.012
2.624
2.977.
2.947
2.602
2.021
2.896
2.878
2.861
2845
4.317
4.029
3.833
3.600
3.581
3.497
3.428
3.372
3.326
3.286
3.252
3.222
3.197
3.174
3.153
7173
5.893
5.208
4.785
4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
0.0005
3.686
3.646
3.610
3.579
3.552
636.619
31.509
12.924
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.437
4318
4.221
4.140
4.073
4.015
3.965
3.922
3.883
3.850
0
Transcribed Image Text:t-Distribution Critical Values Table Degrees of Freedom 0.25 STKIE MAANS SERRA 13 14 15 16 18 19 20 0.718 0.906 1.134 0.711 0.896 1.119 0.706 0.889 1.108 0.703 0.883 1.100 0.700 0.879 1.093 0.697 right tail 0.20 0.15 0.10 1.000 1.376 1.963 3,078 6.314 -0.816 1061 1.386 2.920 1.886 0.765 1.250 0.978 2.353 1.638 0.741 0.727 0.920 1.533 2.132 1.190 0.941 1.156 1.476 2.015 0.695 0.694 0.692 0.691 0.690 0.689 0.688 0.688 0.687 0.876 0.873 0.870 0.868 0.866 *** 1.440 1.415 1.397 1.383 1.372 r-Distribution Area in Right Tail 0.05 0.025 0.028 0.865 1.071 1.337 0.863 1.069 1.333 0.862 1.067 1.330 0.861 1.066 1.328 0.860 1064 1.325 1.943 1.805 1.860 1.833 1812 1.088 1.363 1.796 1.083 1.356 1.782 1.350 1.079 1.771 1.076 1.345 1.761 1074 1.341 1.753 1.746 1.740 1.734 1.729 1.725 2.447 2.612 2.365 2.517 2.306 2.449 2.262 2.398 2.228 2.359 12.706 15.894 31.821 63.657 127321 318.309 4.303 4.849 6.965 22.327 9.925 14.089 4.541 5.841 7.453 3.182 3.482 10.215 2.776 2.999 3.747 4.604 5.598 2.571 2.757 3.365 4.032 4.773 2.201 2.179 2.160 2.145 2.131 2.328 2.303 2.282 2.264 2.249 0.01 2.120 2.235 2.110 2.224 2.101 2.214 2.093 2.205 2.086 2.197 3.143 2.098 2.896 2.821 2.764 0.005 0.025 0.01 0.0 2.583 2.567 2.552 2.530 2.528 3.707 3.499 3.355 3.250 3.169 2.718 3.106 2.681 3.055 2.650 3.012 2.624 2.977. 2.947 2.602 2.021 2.896 2.878 2.861 2845 4.317 4.029 3.833 3.600 3.581 3.497 3.428 3.372 3.326 3.286 3.252 3.222 3.197 3.174 3.153 7173 5.893 5.208 4.785 4.501 4.297 4.144 4.025 3.930 3.852 3.787 3.733 0.0005 3.686 3.646 3.610 3.579 3.552 636.619 31.509 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 0
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