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 $. (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 $. (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 $. (Round to the nearest dollar as needed.)
i t-distribution Table
(-Distribution
Area in Right Tail
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
1.000
2
0.816
3
0.765
4
0.741
5
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
14.089
7.453
5.598
4.773
318.309
22.327
10.215
7.173
636.619
31.599
12.924
8.610
5,893
6.869
0.718
0,711
8
3.143
2.998
2.896
2.821
2.764
0.906
0.896
1.134
1.440
1.119 1.415
1.397
1.943
1.895
1.860
2.447
2.365
2.306
2.262
2.228
2.612
2.517
2.449
2.398
2.359
3.707
3.499
3.355
3.250
3.169
4.317
4.029
3.833
5.208
4.785
4.501
4.297
4.144
5.959
5.408
0.706
9
5.041
4.781
4.587
0.889
1.108
0.883
0.879
1.383
0.703
0.700
1.100
1.833
1.812
3.690
3.581
10
1.093
1.372
0.697
0.695
0.694
0.692
0.691
4.437
4.318
4.221
4.140
4.073
0.876
0.873
11
12
13
0.870
0.868
0.866
1.088
1.083
1.079
1.363
1.356
1.350
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
2.718
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
1.345
1.341
2.264
2.249
14
1.076
1.074
15
0.865
0.863
0.862
0.861
0.860
2.583
2.567
2.552
2.539
2.528
2.921
2,898
2.878
2.861
2.845
4.015
3.965
3.922
3.883
3.850
16
17
0.690
0.689
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
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
3.552
18
0.688
19
0.688
0.687
20
0.859
0.858
0.858
0.857
2.080
2.074
2.069
2.064
2.060
3.819
3.792
3.768
3.745
3.725
1.063
1.061
1.323
1.321
3.135
3.119
21
22
23
24
25
0.686
0.686
0.685
0,685
0.684
1.319
1.318
1,316
1.721
1.717
1.714
1.711
1.708
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
3.527
3.505
3.485
3.467
3.450
1.060
3.104
3091
1.059
1.058
0.856
3.078
2.779
2.771
2.763
2.756
2.750
0.856
0.855
1.706
1.703
1.701
1,699
1.697
3.707
3.690
3.674
3.659
3.646
26
27
0.684
1.058
1.057
1.056
1.055
1.055
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
3.067
3.057
3.047
3.038
3.030
3.435
3.421
1.315
1.314
1.313
1.311
1310
0.684
3,408
3.396
3.385
28
0.683
29
30
0.855
0.854
0.854
0.683
0.683
2.744
2.738
0.682
0,682
0.682
0.682
0.682
1.054
1.054
1.053
1.052
1.052
1.309
1.309
1.308
1.307
1.306
1.696
1.694
1.692
1.691
1.690
3.375
3.365
3.356
3.348
3.340
0.853
0.853
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
2.438
3.022
3.015
3.633
3.622
31
32
33
34
35
0.853
0.852
0.852
2.733
2.728
2.724
3.008
3.002
2.996
3.611
3.601
3.591
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 1.306
1.051 1.305
1.051 1.304
1.050
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
3.333
3.326
3.319
3.313
3.307
3.582
3.574
3.566
3.558
3.551
2.719
2.715
2.712
2.708
2.704
2.990
2.985
2.980
2.976
2.971
1.304
1.303
1.050
0.849
0.848
0.847
0.846
0.846
1.676
1.671
1.667
1.664
1.662
2.009
2.000
1.994
1.990
1.987
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
1.047
1.045
1.044
1.043
1.042
1.299
1.296
1.294
1.292
1.291
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
60
70
80
90
0.677
0.677
0.675
0.674
1.984
1.962
1.960
2.871
2.813
2.807
3.174
3.098
3.090
1.042 1.290
100
1000
0.845
0.842
0.842
1.660
1.646
1.645
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
3.390
3.300
3.291
ur answer i
?
1.037
1.282
1.036
1.282
swer
ning
0.0005
0,25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0,0025
0.001
JP
Print
Done
Transcribed Image Text:i t-distribution Table (-Distribution Area in Right Tail 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 1.000 2 0.816 3 0.765 4 0.741 5 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 14.089 7.453 5.598 4.773 318.309 22.327 10.215 7.173 636.619 31.599 12.924 8.610 5,893 6.869 0.718 0,711 8 3.143 2.998 2.896 2.821 2.764 0.906 0.896 1.134 1.440 1.119 1.415 1.397 1.943 1.895 1.860 2.447 2.365 2.306 2.262 2.228 2.612 2.517 2.449 2.398 2.359 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 5.208 4.785 4.501 4.297 4.144 5.959 5.408 0.706 9 5.041 4.781 4.587 0.889 1.108 0.883 0.879 1.383 0.703 0.700 1.100 1.833 1.812 3.690 3.581 10 1.093 1.372 0.697 0.695 0.694 0.692 0.691 4.437 4.318 4.221 4.140 4.073 0.876 0.873 11 12 13 0.870 0.868 0.866 1.088 1.083 1.079 1.363 1.356 1.350 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 2.718 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 1.345 1.341 2.264 2.249 14 1.076 1.074 15 0.865 0.863 0.862 0.861 0.860 2.583 2.567 2.552 2.539 2.528 2.921 2,898 2.878 2.861 2.845 4.015 3.965 3.922 3.883 3.850 16 17 0.690 0.689 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 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3.579 3.552 18 0.688 19 0.688 0.687 20 0.859 0.858 0.858 0.857 2.080 2.074 2.069 2.064 2.060 3.819 3.792 3.768 3.745 3.725 1.063 1.061 1.323 1.321 3.135 3.119 21 22 23 24 25 0.686 0.686 0.685 0,685 0.684 1.319 1.318 1,316 1.721 1.717 1.714 1.711 1.708 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 3.527 3.505 3.485 3.467 3.450 1.060 3.104 3091 1.059 1.058 0.856 3.078 2.779 2.771 2.763 2.756 2.750 0.856 0.855 1.706 1.703 1.701 1,699 1.697 3.707 3.690 3.674 3.659 3.646 26 27 0.684 1.058 1.057 1.056 1.055 1.055 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 3.067 3.057 3.047 3.038 3.030 3.435 3.421 1.315 1.314 1.313 1.311 1310 0.684 3,408 3.396 3.385 28 0.683 29 30 0.855 0.854 0.854 0.683 0.683 2.744 2.738 0.682 0,682 0.682 0.682 0.682 1.054 1.054 1.053 1.052 1.052 1.309 1.309 1.308 1.307 1.306 1.696 1.694 1.692 1.691 1.690 3.375 3.365 3.356 3.348 3.340 0.853 0.853 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 2.438 3.022 3.015 3.633 3.622 31 32 33 34 35 0.853 0.852 0.852 2.733 2.728 2.724 3.008 3.002 2.996 3.611 3.601 3.591 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 1.306 1.051 1.305 1.051 1.304 1.050 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 3.333 3.326 3.319 3.313 3.307 3.582 3.574 3.566 3.558 3.551 2.719 2.715 2.712 2.708 2.704 2.990 2.985 2.980 2.976 2.971 1.304 1.303 1.050 0.849 0.848 0.847 0.846 0.846 1.676 1.671 1.667 1.664 1.662 2.009 2.000 1.994 1.990 1.987 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 1.047 1.045 1.044 1.043 1.042 1.299 1.296 1.294 1.292 1.291 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 60 70 80 90 0.677 0.677 0.675 0.674 1.984 1.962 1.960 2.871 2.813 2.807 3.174 3.098 3.090 1.042 1.290 100 1000 0.845 0.842 0.842 1.660 1.646 1.645 2.081 2.056 2.054 2.364 2.330 2.326 2.626 2.581 2.576 3.390 3.300 3.291 ur answer i ? 1.037 1.282 1.036 1.282 swer ning 0.0005 0,25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0,0025 0.001 JP Print Done
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