In a random sample of 64 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3476 with a standard deviation of $2588. Construct and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns. Click the icon to view the t-distribution table. The lower bound is $ 2,936. (Round to the nearest dollar as needed.) The upper bound is $ (Round to the nearest dollar as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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In a random sample of 64 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3476 with a standard deviation of $2588.
Construct and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns.
Click the icon to view the t-distribution table.
The lower bound is $ 2,936. (Round to the nearest dollar as needed.)
The upper bound is $. (Round to the nearest dollar as needed.)
Transcribed Image Text:In a random sample of 64 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3476 with a standard deviation of $2588. Construct and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns. Click the icon to view the t-distribution table. The lower bound is $ 2,936. (Round to the nearest dollar as needed.) The upper bound is $. (Round to the nearest dollar as needed.)
t-distribution Table
(-Distribution
Area in Right Tail
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
6.314
2.920
2.353
2.132
12.706
4.303
3.182
2.776
2.571
636.619
31.599
12.924
8.610
6.869
15.894
31.821
6.965
63.657
9.925
5.841
4.604
127.321
14.089
7.453
5.598
4.773
1
1.000
1.376
1.963
1.386
3.078
318.309
22.327
10.215
7.173
5.893
1.061
0.978
1.886
1.638
1.533
1.476
0,816
4.849
3.482
2.999
2.757
0.765
3
0,741
5
0.941
0.920
1.250
1.190
1.156
4.541
3.747
3.365
0.727
2.015
4.032
0.718
0.711
0.706
0.703
0.700
1.943
1.895
1.860
1.833
1.812
5.208
4.785
4.501
4.297
4.144
5.959
5.408
5.041
4.781
4.587
1.440
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
4.317
4.029
3.833
3.690
6.
0.906
1.134
0.896
0.889
0.883
0.879
1.119
1.108
1.100
1.093
1.415
1.397
1.383
1.372
3.250
10
3.169
3.581
0.876
873
0.870
0.868
0.866
1.363
4,025
3.930
11
0.697
1.088
1.083
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.145
2.131
2.328
2.303
2.282
2.264
2.249
2.718
681
3.106
3.055
3.497
.428
2.650
2.624
2.602
3.372
3.326
3.286
3.852
3.787
3.733
4.437
4.318
4.221
4.140
4.073
13
0.694
1.079
1.350
3.012
1.076
1.074
1.345
1.341
0.692
2.977
2.947
14
15
0.691
0.865
0.863
2.120
2.110
2.101
2.093
2.086
1.071
1.746
1.740
1,734
1.729
1.725
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
4.015
3.965
3.922
3.883
3.850
16
0.690
1.337
2.921
2.898
2.878
2.861
2.845
3.686
3,646
17
18
0,689
1.069
1.333
1.067
1.066
1.064
1.330
1.328
1.325
3.610
3.579
3.552
0.688
0.862
19
20
0.688
0.687
0.861
0.860
21
22
23
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
2.508
2.500
2.831
2.819
2.807
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
0.686
0.686
0.685
0.685
24
25
2.492
2.485
2.797
2.787
0.684
0,856
0.855
0.855
0.854
0.854
1.058
1.057
1.056
1.055
1.055
3.067
3.057
3.047
3.435
3.421
3.408
3.396
3.385
3.707
3.690
3.674
3.659
3.646
26
1.315
1.314
1.313
1.311
1.310
1.706
1.703
1.701
2.056
2.052
2.048
2.045
2.042
2.162
2.158
2.154
2.479
2.473
2.467
2.779
2.771
2.763
2.756
2.750
0.684
27
0.684
28
0.683
0.683
0.683
1.699
1.697
2.150
2.147
2.462
2.457
3.038
3.030
29
30
0.853
0.853
0.853
0.852
0.852
1.054
1.054
1.053
1.052
1.052
3.375
3.365
3.356
3.348
3.340
3.633
3,622
3.611
3.601
3.591
31
0.682
0.682
0.682
0.682
0.682
1.309
1.309
1.308
1.307
1.696
1,694
1.692
1.691
1.690
2.040
2.037
2.035
2.032
2.030
2.144
2.141
2.138
2.136
2.133
2.453
2.449
2.445
2.441
2.744
2.738
2.733
2.728
2.724
3.022
3.015
3.008
3.002
2.996
32
33
34
35
1.306
2.438
2.990
2.985
2.980
2.976
2.971
0.852
0.851
2.719
2.715
2.712
2.708
0.681
0.681
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
3.582
3.574
3.566
3.558
36
2.434
3.333
3.326
37
38
2.431
2.429
2.426
0.681
0.851
0.851
0.851
3.319
39
0.681
0.681
3.313
40
2.423
2.704
3.307
3.551
1.047
1.045
1.044
2.009
2.000
1.994
2.109
2.099
2.093
2.088
2.084
2.403
2.390
2.381
2.374
2.368
2.678
2.660
2.648
2.639
2.632
2.937
2.915
2.899
2.887
2.878
50
60
0.679
1.299
1.296
1.294
1.292
1.291
1.676
3.261
3.232
3.211
3.195
3.183
0.849
3.496
1.671
1.667
3.460
0.679
0.678
0.848
0.847
70
3.435
0.846
0.846
1.990
1.987
80
0.678
1.043
1.664
3.416
90
0.677
1.042
1.662
3.402
0.845
0.842
0.842
1.290
1.282
1,282
1.660
1.646
1.645
2.871
2.813
2.807
3.174
3.098
3.090
3.390
3.300
3.291
100
0.677
1.042
1.037
1.036
1.984
2.081
2.056
2.364
0.675
0.674
2.626
2.581
2.576
1.962
2.330
2.326
1000
1.960
2.054
swe
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
Transcribed Image Text:t-distribution Table (-Distribution Area in Right Tail 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 6.314 2.920 2.353 2.132 12.706 4.303 3.182 2.776 2.571 636.619 31.599 12.924 8.610 6.869 15.894 31.821 6.965 63.657 9.925 5.841 4.604 127.321 14.089 7.453 5.598 4.773 1 1.000 1.376 1.963 1.386 3.078 318.309 22.327 10.215 7.173 5.893 1.061 0.978 1.886 1.638 1.533 1.476 0,816 4.849 3.482 2.999 2.757 0.765 3 0,741 5 0.941 0.920 1.250 1.190 1.156 4.541 3.747 3.365 0.727 2.015 4.032 0.718 0.711 0.706 0.703 0.700 1.943 1.895 1.860 1.833 1.812 5.208 4.785 4.501 4.297 4.144 5.959 5.408 5.041 4.781 4.587 1.440 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 4.317 4.029 3.833 3.690 6. 0.906 1.134 0.896 0.889 0.883 0.879 1.119 1.108 1.100 1.093 1.415 1.397 1.383 1.372 3.250 10 3.169 3.581 0.876 873 0.870 0.868 0.866 1.363 4,025 3.930 11 0.697 1.088 1.083 1.796 1.782 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.131 2.328 2.303 2.282 2.264 2.249 2.718 681 3.106 3.055 3.497 .428 2.650 2.624 2.602 3.372 3.326 3.286 3.852 3.787 3.733 4.437 4.318 4.221 4.140 4.073 13 0.694 1.079 1.350 3.012 1.076 1.074 1.345 1.341 0.692 2.977 2.947 14 15 0.691 0.865 0.863 2.120 2.110 2.101 2.093 2.086 1.071 1.746 1.740 1,734 1.729 1.725 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 4.015 3.965 3.922 3.883 3.850 16 0.690 1.337 2.921 2.898 2.878 2.861 2.845 3.686 3,646 17 18 0,689 1.069 1.333 1.067 1.066 1.064 1.330 1.328 1.325 3.610 3.579 3.552 0.688 0.862 19 20 0.688 0.687 0.861 0.860 21 22 23 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 2.508 2.500 2.831 2.819 2.807 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 0.686 0.686 0.685 0.685 24 25 2.492 2.485 2.797 2.787 0.684 0,856 0.855 0.855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 3.067 3.057 3.047 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 26 1.315 1.314 1.313 1.311 1.310 1.706 1.703 1.701 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.479 2.473 2.467 2.779 2.771 2.763 2.756 2.750 0.684 27 0.684 28 0.683 0.683 0.683 1.699 1.697 2.150 2.147 2.462 2.457 3.038 3.030 29 30 0.853 0.853 0.853 0.852 0.852 1.054 1.054 1.053 1.052 1.052 3.375 3.365 3.356 3.348 3.340 3.633 3,622 3.611 3.601 3.591 31 0.682 0.682 0.682 0.682 0.682 1.309 1.309 1.308 1.307 1.696 1,694 1.692 1.691 1.690 2.040 2.037 2.035 2.032 2.030 2.144 2.141 2.138 2.136 2.133 2.453 2.449 2.445 2.441 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 32 33 34 35 1.306 2.438 2.990 2.985 2.980 2.976 2.971 0.852 0.851 2.719 2.715 2.712 2.708 0.681 0.681 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 3.582 3.574 3.566 3.558 36 2.434 3.333 3.326 37 38 2.431 2.429 2.426 0.681 0.851 0.851 0.851 3.319 39 0.681 0.681 3.313 40 2.423 2.704 3.307 3.551 1.047 1.045 1.044 2.009 2.000 1.994 2.109 2.099 2.093 2.088 2.084 2.403 2.390 2.381 2.374 2.368 2.678 2.660 2.648 2.639 2.632 2.937 2.915 2.899 2.887 2.878 50 60 0.679 1.299 1.296 1.294 1.292 1.291 1.676 3.261 3.232 3.211 3.195 3.183 0.849 3.496 1.671 1.667 3.460 0.679 0.678 0.848 0.847 70 3.435 0.846 0.846 1.990 1.987 80 0.678 1.043 1.664 3.416 90 0.677 1.042 1.662 3.402 0.845 0.842 0.842 1.290 1.282 1,282 1.660 1.646 1.645 2.871 2.813 2.807 3.174 3.098 3.090 3.390 3.300 3.291 100 0.677 1.042 1.037 1.036 1.984 2.081 2.056 2.364 0.675 0.674 2.626 2.581 2.576 1.962 2.330 2.326 1000 1.960 2.054 swe 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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