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 $2569. Construct and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns.  Find and interpret a​ 90% confidence interval for the mean additional amount of tax owed for estate tax returns. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Use ascending order. Round to the nearest dollar as​ needed.)   A.There is a​ 90% probability that the mean additional tax owed is between $____ and $_____.   B. ​90% of taxes owed for estate tax returns are between ​$_____ and ​$____.   C. One can be​ 90% confident that the mean additional tax owed is between ​$____ and​$_____.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Related questions
Question
100%

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 $2569. Construct and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns. 

Find and interpret a​ 90% confidence interval for the mean additional amount of tax owed for estate tax returns. Select the correct choice below and fill in the answer boxes to complete your choice.
​(Use ascending order. Round to the nearest dollar as​ needed.)
 
A.There is a​ 90% probability that the mean additional tax owed is between $____ and $_____.
 
B. ​90% of taxes owed for estate tax returns are between ​$_____ and ​$____.
 
C. One can be​ 90% confident that the mean additional tax owed is between ​$____ and​$_____.

 

7/18/22, 4:02 PM
TAMAN PERASA= 228 58830 86888 =8ZA AHAAS GERAR
Degrees of
Freedom 0.25
1
11
12
13
14
15
16
17
18
19
20
21
22
23
25
26
27
30
31
32
33
34
35
36
37
38
39
40
50
60
70
0.852 1.052
1.306 1.688
0.851 1.051 1.305 1.687
0.851 1.051 1.304
0.851 1.050 1.304
0.851 1.050 1.303
0.679 0.849 1.047 1.299 1.676
0.679 0.848 1.045 1.296 1.671
0.678
0.847
1.044 1.294
1.667 1.994
0.678 0.846 1.043 1.292 1.664
1.990
0.677
1.987
0.677 0.845 1.042 1.290 1.660 1.984
0.675 0.842 1.037 1.282 1.646 1.962 2.056
0.674
0.842 1.036 1.282 1.645 1.960 2.054
Degrees of 0.25 0.20 0.15 0.10
Freedom
0.846 1.042 1.291 1.662
0.05 0.025
0.02
t-Distribution
Area in Right Tail
80
90
t
100
1000
z
t-Distribution
Area in Right Tail
0,20
0.15
0.05 0.025 0.02
0.01 0.005 0.0025 0.001 0.0005
8.610
5.893
6.869
1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619
0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 31.599
0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7453 10.215 12.924
0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 7173
0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773
0.718 0.906 1.134 1.440 1.943 2.447
2.612
3.143 3.707
0.711
0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998
0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896
0.703 0.883 1.100 1.383
2.262
1.833
2.398 2.821
1.093 1.372 1.812 2.228 2.359 2.764
1.088
2.201
5.208
4.317
3.499 4.029 4.785
3.833
4.501
3.355
3.250
3.690
3.600
4.297
0.700 0.879
3.169
3.581 4.144
1.363
1.796
2.328 2.718 3.106
2.681
3.055
2.650 3.012
0.694 0.870
2.264
0.692 0.868
0.866
2.145
2.131
2.249
2.120
2.235
2.583
2.110 2.224 2.567
0.689
0.688
2.552
2.878
0.688
0.687
1.063
0.859
0.858
1.323 1.721
1.061 1.321 1.717
0.686
0.685
0.858
0.685 0.857
1.059
1.058
0.684
1.083 1.356 1.782 2.179 2.303
1.079 1.350 1.771 2.160 2.282
1.076 1.345 1.761
0.691
1.074 1.341 1.753
0.690 0.865 1.071 1.337 1.746
0.863 1.069 1.333 1.740
0.862 1.067 1.330 1.734 2.101
2.214
0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861
0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845
2.080 2.189
2.074
2.183
1.060 1.319 1.714 2.069
2.177
1.318 1.711 2.064 2.172
0.856
1.316 1.708 2.060 2.167
0.856 1.058 1.315
0.684 0.855 1.057
1.314 1.703
0.683 0.855 1.056 1.313 1.701
0.683 0.854 1.055 1.311 1.699
0.683 0.854 1.055 1.310 1.697
0.682 0.853 1.054 1.309 1.696
0.682 0.853 1.054 1.309 1.694
0.682 0.853 1.053 1.308 1.692
0.682 0.852 1.052 1.307 1.691
0.682 0.852 1.052
0.681
0.681
0.681
0.681
0.681
0.684
1.706 2.056 2.162
1.306 1.690
-Area in
right tail
0.697 0.876
0.695 0.873
0.686
t-Distribution Critical Values Table
0.10
2.624 2.977
2.602 2.947
2.921
2.898
2.434 2.719
2.715
2.431
2.429
2.426
2.423 2.704
2.518 2.831
2.508 2.819
2.500 2.807
2.492 2.797
2.485 2.787
2.479 2.779
2.473 2.771
2.457 2.750
2.052 2.158
2.048 2.154 2.467 2.763
2.045 2.150 2.462 2.756
2.042 2.147
2.040 2.144 2.453 2.744
2.037 2.141 2.449 2.738
2.035 2.138 2.445 2.733
2.032 2.136 2.441 2.728
2.030
2.133
2.028
2.438 2.724
2.131
2.026
2.129
2.937 3.261
2.915 3.232
1.686 2.024 2.127
1.685 2.023 2.125
1.684 2.021
2.123
2.009 2.109 2.403 2.678
2.000 2.099 2.390 2.660
2.093 2.381 2.648 2.899 3.211
2.088 2.374 2.639 2.887 3.195
2.084 2.368 2.632 2.878 3.183
2.081 2.364 2.626 2.871 3.174 3.390
2.330 2.581 2.813 3.098 3.300
2.326 2.576 2.807 3.090 3.291
0.01 0.005 0.0025 0.001 0.0005
2.712
2.706
3.497 4.025
4.437
3.428 3.930 4.318
3.372 3.852 4.221
3.326 3.787 4.140
3.286 3.733
4.073
4.015
3.965
3.922
3.883
3.850
3.252 3.686
3.222 3.646
3.197 3.610
3.174 3.579
3.153 3.552
3.135 3.527
3.119 3.505
3.104 3.485
3.091 3.467
3.078 3.450
3.067 3.435
3.057 3.421
3.047
3.408
3.038
3.396
3.030
3.385
3.022 3.375
3.015 3.365
3.008 3.356
3.002 3.348
2.996 3.340
5.959
5.408
5.041
4.781
4.587
2.990 3.333
2.985
3.326
3.319
3.313
3.307
2.980
2.976
2.971
3.819
3.792
3.768
3.745
3.725
3.707
3.690
3.674
3.659
3.646
3.633
3.622
3.611
3.601
3.591
3.582
3.574
3.566
3.558
3.551
3.496
3.460
3.435
3.416
3.402
Transcribed Image Text:7/18/22, 4:02 PM TAMAN PERASA= 228 58830 86888 =8ZA AHAAS GERAR Degrees of Freedom 0.25 1 11 12 13 14 15 16 17 18 19 20 21 22 23 25 26 27 30 31 32 33 34 35 36 37 38 39 40 50 60 70 0.852 1.052 1.306 1.688 0.851 1.051 1.305 1.687 0.851 1.051 1.304 0.851 1.050 1.304 0.851 1.050 1.303 0.679 0.849 1.047 1.299 1.676 0.679 0.848 1.045 1.296 1.671 0.678 0.847 1.044 1.294 1.667 1.994 0.678 0.846 1.043 1.292 1.664 1.990 0.677 1.987 0.677 0.845 1.042 1.290 1.660 1.984 0.675 0.842 1.037 1.282 1.646 1.962 2.056 0.674 0.842 1.036 1.282 1.645 1.960 2.054 Degrees of 0.25 0.20 0.15 0.10 Freedom 0.846 1.042 1.291 1.662 0.05 0.025 0.02 t-Distribution Area in Right Tail 80 90 t 100 1000 z t-Distribution Area in Right Tail 0,20 0.15 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 8.610 5.893 6.869 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 31.599 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7453 10.215 12.924 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 7173 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 0.711 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 0.703 0.883 1.100 1.383 2.262 1.833 2.398 2.821 1.093 1.372 1.812 2.228 2.359 2.764 1.088 2.201 5.208 4.317 3.499 4.029 4.785 3.833 4.501 3.355 3.250 3.690 3.600 4.297 0.700 0.879 3.169 3.581 4.144 1.363 1.796 2.328 2.718 3.106 2.681 3.055 2.650 3.012 0.694 0.870 2.264 0.692 0.868 0.866 2.145 2.131 2.249 2.120 2.235 2.583 2.110 2.224 2.567 0.689 0.688 2.552 2.878 0.688 0.687 1.063 0.859 0.858 1.323 1.721 1.061 1.321 1.717 0.686 0.685 0.858 0.685 0.857 1.059 1.058 0.684 1.083 1.356 1.782 2.179 2.303 1.079 1.350 1.771 2.160 2.282 1.076 1.345 1.761 0.691 1.074 1.341 1.753 0.690 0.865 1.071 1.337 1.746 0.863 1.069 1.333 1.740 0.862 1.067 1.330 1.734 2.101 2.214 0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 2.080 2.189 2.074 2.183 1.060 1.319 1.714 2.069 2.177 1.318 1.711 2.064 2.172 0.856 1.316 1.708 2.060 2.167 0.856 1.058 1.315 0.684 0.855 1.057 1.314 1.703 0.683 0.855 1.056 1.313 1.701 0.683 0.854 1.055 1.311 1.699 0.683 0.854 1.055 1.310 1.697 0.682 0.853 1.054 1.309 1.696 0.682 0.853 1.054 1.309 1.694 0.682 0.853 1.053 1.308 1.692 0.682 0.852 1.052 1.307 1.691 0.682 0.852 1.052 0.681 0.681 0.681 0.681 0.681 0.684 1.706 2.056 2.162 1.306 1.690 -Area in right tail 0.697 0.876 0.695 0.873 0.686 t-Distribution Critical Values Table 0.10 2.624 2.977 2.602 2.947 2.921 2.898 2.434 2.719 2.715 2.431 2.429 2.426 2.423 2.704 2.518 2.831 2.508 2.819 2.500 2.807 2.492 2.797 2.485 2.787 2.479 2.779 2.473 2.771 2.457 2.750 2.052 2.158 2.048 2.154 2.467 2.763 2.045 2.150 2.462 2.756 2.042 2.147 2.040 2.144 2.453 2.744 2.037 2.141 2.449 2.738 2.035 2.138 2.445 2.733 2.032 2.136 2.441 2.728 2.030 2.133 2.028 2.438 2.724 2.131 2.026 2.129 2.937 3.261 2.915 3.232 1.686 2.024 2.127 1.685 2.023 2.125 1.684 2.021 2.123 2.009 2.109 2.403 2.678 2.000 2.099 2.390 2.660 2.093 2.381 2.648 2.899 3.211 2.088 2.374 2.639 2.887 3.195 2.084 2.368 2.632 2.878 3.183 2.081 2.364 2.626 2.871 3.174 3.390 2.330 2.581 2.813 3.098 3.300 2.326 2.576 2.807 3.090 3.291 0.01 0.005 0.0025 0.001 0.0005 2.712 2.706 3.497 4.025 4.437 3.428 3.930 4.318 3.372 3.852 4.221 3.326 3.787 4.140 3.286 3.733 4.073 4.015 3.965 3.922 3.883 3.850 3.252 3.686 3.222 3.646 3.197 3.610 3.174 3.579 3.153 3.552 3.135 3.527 3.119 3.505 3.104 3.485 3.091 3.467 3.078 3.450 3.067 3.435 3.057 3.421 3.047 3.408 3.038 3.396 3.030 3.385 3.022 3.375 3.015 3.365 3.008 3.356 3.002 3.348 2.996 3.340 5.959 5.408 5.041 4.781 4.587 2.990 3.333 2.985 3.326 3.319 3.313 3.307 2.980 2.976 2.971 3.819 3.792 3.768 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.633 3.622 3.611 3.601 3.591 3.582 3.574 3.566 3.558 3.551 3.496 3.460 3.435 3.416 3.402
7/18/22, 4:01 PM
Area-
z
-3.4
-3.3
-3.2
-3.1
-3.0
-2.9
-2.8
-2.7
-2.6
-2.5
-2.4
-2.3
-2.2
-2.1
-2.0
-1.9
-1.8
-1.7
-1.6
-1.5
-14
-1.3
-1.2
-1.1
-1.0
-0.9
-0.8
-0.7
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
-0.0
z
z
0.00
0.01
0.0003 0.0003
0.0005 0.0005
0.0007
0.0007
0.0010
0.0013
0.0082 0.0080
0.0107 0.0104
0.0139
0.0136
0.0179
0.0174
0.0228
0.0222
0.0009
0.0013
0.0019
0.0018 0.0018 0.0017
0.0026
0.0025
0.0035
0.0034
0.0047 0.0045
0.0062 0.0060
0.0548 0.0537
0.0668
0.0655
0.0808
0.0968
0.0793
0.0951
0.1151 0.1131
0.02
0.2743
0.3085
0.0287 0.0281
0.0274
0.0359 0.0351 0.0344
0.0446 0.0436
0.0016
0.0024 0.0023 0.0023
0.0033 0.0032 0.0031
0.0043
0.0057
0.00
0.07
0.0003 0.0003 0.0003 0.0003 0.0003 0.0003
0.0005 0.0004 0.0004 0.0004 0.0004 0.0004
0.0006 0.0006 0.0006 0.0006 0.0006 0.0005
0.0009 0.0009 0.0008 0.0008 0.0008 0.0008
0.0013 0.0012 0.0012 0.0011 0.0011
0.0011
0.0044
0.0059
0.0078
0.0102
0.0132
0.0170
0.0217
Standard Normal Distribution
0.05
0.03
0.04
0.0526
0.0643
0.1357 0.1335 0.1314
0.1587 0.1562
0.0778
0.0934
0.1112
0.0427 0.0418
0.0516
0.0630
0.0075
0.0099
0.0129
0.0166
0.0212
0.0268
0.0336
0.0764
0.0918
0.1093
0.1841 0.1814 0.1788 0.1762
0.2119
0.2090
0.2061
0.2033
0.2420
0.2389
0.2358
0.2327
0.1292
0.1539 0.1515
0.2709 0.2676 0.2643
0.3050
0.3015
0.2981
0.3336
0.3707
0.4090
0.0041
0.0055
0.0073
0.0096
0.0125
0.0162
0.0207
0.0262
0.0329
0.0749
0.0901
0.1075
0.0256
0.0322
0.0409
0.0401
0.0505 0.0495
0.0618
0.0606
0.1271
0.1492
0.1736
0.2005
0.2296
0.2611
0.2946
0.3446
0.3409
0.3372
0.3821
0.3783
0.3745
0.4129
0.4207 0.4168
0.4602 0.4562 0.4522 0.4483 0.4443
0.4920 0.4880
0.5000
0.4960
0.4840
0.01
0.02
0.03
0.3300
0.3669
0.4052
Standard Normal Distribution Table (page 1)
0.04
1
0.0016
0.0022
0.0030
0.0040 0.0039
0.0054
0.06
0.0071
0.0069
0.0094 0.0091
0.0122
0.0119
0.0158
0.0202
0.1251
0.1469
0.1711
0.1977
0.2266
0.2578
0.2912
0.0015
0.0015
0.0014
0.0021
0.0021
0.0020
0.0029 0.0028 0.0027
0.0052 0.0051
0.0154
0.0197
0.0735 0.0721
0.0885
0.0869
0.1056 0.1038
0.0250
0.0314
0.0392
0.0485
0.0594
0.1230
0.1446
0.1685
0.1949
0.2236
0.2546
0.2877
0.3264
0.3632
0.4013
0.4404
0.4364
0.4801 0.4761
0.05
0.06
0.0068
0.0089
0.0116
0.0038 0.0037
0.0049
0.0150
0.0192
0.0244
0.0307
0.0708
0.0853
0.1020
0.1210
0.1423
0.1660
0.1922
0.2206
0.08
0.0239
0.0301
0.0384 0.0375
0.0475
0.0465
0.0582
0.0571
0.2514
0.2843
0.0003
0.0004
0.0005
0.3192
0.3557
0.0007
0.0010
0.4325
0.4721
0.07
0.0066
0.0087
0.0113
0.0146
0.0188
0.0694
0.0838
0.1003
0.1190
0.1401
0.1635
0.1894
0.2177
0.2483
0.2810
0.3228
0.3156
0.3594
0.3520
0.3974 0.3936 0.3897
0.4286
0.4681
0.08
0.09
0.0002
0.0003
0.0005
0.0007
0.0010
0.0014
0.0019
0.0026
0.0036
0.0048
0.0064
0.0084
0.0110
0.0143
0.0183
0.0233
0.0294
0.0367
0.0455
0.0559
0.0681
0.0823
0.0985
0.1170
0.1379
0.1611
0.1867
0.2148
0.2451
0.2776
0.3121
0.3483
0.3859
0.4247
0.4641
0.09
Transcribed Image Text:7/18/22, 4:01 PM Area- z -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -14 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 z z 0.00 0.01 0.0003 0.0003 0.0005 0.0005 0.0007 0.0007 0.0010 0.0013 0.0082 0.0080 0.0107 0.0104 0.0139 0.0136 0.0179 0.0174 0.0228 0.0222 0.0009 0.0013 0.0019 0.0018 0.0018 0.0017 0.0026 0.0025 0.0035 0.0034 0.0047 0.0045 0.0062 0.0060 0.0548 0.0537 0.0668 0.0655 0.0808 0.0968 0.0793 0.0951 0.1151 0.1131 0.02 0.2743 0.3085 0.0287 0.0281 0.0274 0.0359 0.0351 0.0344 0.0446 0.0436 0.0016 0.0024 0.0023 0.0023 0.0033 0.0032 0.0031 0.0043 0.0057 0.00 0.07 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0044 0.0059 0.0078 0.0102 0.0132 0.0170 0.0217 Standard Normal Distribution 0.05 0.03 0.04 0.0526 0.0643 0.1357 0.1335 0.1314 0.1587 0.1562 0.0778 0.0934 0.1112 0.0427 0.0418 0.0516 0.0630 0.0075 0.0099 0.0129 0.0166 0.0212 0.0268 0.0336 0.0764 0.0918 0.1093 0.1841 0.1814 0.1788 0.1762 0.2119 0.2090 0.2061 0.2033 0.2420 0.2389 0.2358 0.2327 0.1292 0.1539 0.1515 0.2709 0.2676 0.2643 0.3050 0.3015 0.2981 0.3336 0.3707 0.4090 0.0041 0.0055 0.0073 0.0096 0.0125 0.0162 0.0207 0.0262 0.0329 0.0749 0.0901 0.1075 0.0256 0.0322 0.0409 0.0401 0.0505 0.0495 0.0618 0.0606 0.1271 0.1492 0.1736 0.2005 0.2296 0.2611 0.2946 0.3446 0.3409 0.3372 0.3821 0.3783 0.3745 0.4129 0.4207 0.4168 0.4602 0.4562 0.4522 0.4483 0.4443 0.4920 0.4880 0.5000 0.4960 0.4840 0.01 0.02 0.03 0.3300 0.3669 0.4052 Standard Normal Distribution Table (page 1) 0.04 1 0.0016 0.0022 0.0030 0.0040 0.0039 0.0054 0.06 0.0071 0.0069 0.0094 0.0091 0.0122 0.0119 0.0158 0.0202 0.1251 0.1469 0.1711 0.1977 0.2266 0.2578 0.2912 0.0015 0.0015 0.0014 0.0021 0.0021 0.0020 0.0029 0.0028 0.0027 0.0052 0.0051 0.0154 0.0197 0.0735 0.0721 0.0885 0.0869 0.1056 0.1038 0.0250 0.0314 0.0392 0.0485 0.0594 0.1230 0.1446 0.1685 0.1949 0.2236 0.2546 0.2877 0.3264 0.3632 0.4013 0.4404 0.4364 0.4801 0.4761 0.05 0.06 0.0068 0.0089 0.0116 0.0038 0.0037 0.0049 0.0150 0.0192 0.0244 0.0307 0.0708 0.0853 0.1020 0.1210 0.1423 0.1660 0.1922 0.2206 0.08 0.0239 0.0301 0.0384 0.0375 0.0475 0.0465 0.0582 0.0571 0.2514 0.2843 0.0003 0.0004 0.0005 0.3192 0.3557 0.0007 0.0010 0.4325 0.4721 0.07 0.0066 0.0087 0.0113 0.0146 0.0188 0.0694 0.0838 0.1003 0.1190 0.1401 0.1635 0.1894 0.2177 0.2483 0.2810 0.3228 0.3156 0.3594 0.3520 0.3974 0.3936 0.3897 0.4286 0.4681 0.08 0.09 0.0002 0.0003 0.0005 0.0007 0.0010 0.0014 0.0019 0.0026 0.0036 0.0048 0.0064 0.0084 0.0110 0.0143 0.0183 0.0233 0.0294 0.0367 0.0455 0.0559 0.0681 0.0823 0.0985 0.1170 0.1379 0.1611 0.1867 0.2148 0.2451 0.2776 0.3121 0.3483 0.3859 0.4247 0.4641 0.09
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