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.)
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
Problem 1P
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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.)
Transcribed Image Text:nd is
t-distribution Table
(-Distribution
Area in Right Tail
JP
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
1.376
1.061
0.978
0.941
0.920
1
1.963
1.386
1.250
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
2.015
12.706
15.894
4,849
3.482
2.999
2.757
31.821
6.965
4.541
63.657
9.925
5.841
4.604
4.032
127.321
14.089
7.453
5.598
4.773
318.309
636.619
31.599
12.924
8.610
6,869
4.303
22.327
3
0.741
5
3.182
2.776
2.571
10.215
7.173
5.893
1.190
3.747
3.365
0.727
1.156
0.718
0.711
8
6.
0.906
0.896
0.889
0.883
0.879
1.134
1.119
1.108
1.100
1.093
1.440
1.415
1.943
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
5.208
4.785
4.501
4.297
4.144
5.959
5.408
0.706
1.397
0,703
0.700
3.833
3.690
3.581
5.041
4.781
9
1.383
1.372
10
4.587
11
0.697
0.695
0.694
0.876
0.873
0.870
0.868
0.866
1.088
12
13
14
1.083
1.079
1.076
1.074
1.363
1.356
1.350
1.345
1.341
1,796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.328
2.303
2.282
2.264
2.249
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
0.692
2.145
2.131
15
0.691
16
17
0.690
0.865
0,863
0.862
0.861
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
0,689
18
0.688
0.688
0.687
19
20
0.860
21
22
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
1.71
1.708
2.080
2.074
2.069
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
3.135
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
23
24
2.064
2.060
25
26
0.856
0,855
0.855
0.854
0.854
0.684
1.058
1.057
1.056
1.055
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
2.162
2.158
2.154
2.150
2.147
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.067
3.435
3.707
3.690
27
0.684
0.683
0,683
0.683
3.057
28
29
30
3,421
3.408
3.396
3.385
3.047
3.674
3.038
3.030
3.659
3.646
31
0.682
0.682
0.682
0.682
0.853
0.853
0.853
0.852
1.054
1.054
1.053
1.052
1.309
1.696
1.694
1,692
2.040
2.037
2.035
2.032
2.030
2.144
2.141
2.138
2.136
2.453
2.449
2.445
2.441
2.438
2,744
2.738
2.733
2.728
2.724
3.022
3.015
3.375
3.365
3.356
3.348
3.340
3.633
32
33
1.309
1.308
1.307
1.306
3.008
3.002
2.996
3.622
3.611
3.601
3.591
34
1.691
35
0.682
0.852
1.052
1.690
2.133
0.681
0.681
36
0.852
0.851
0.851
0.851
1.052
1.051
1.051
1.050
1.050
1.306
1.305
1.304
1.304
1.688
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
3.333
3.326
3.319
3.313
3.307
37
38
3.582
3.574
0.681
2.980
3.566
3.558
3.551
39
0.681
2.976
2.971
40
0.681
0.851
1.303
50
0.679
0.849
1.047
1.299
1.676
2.009
2.109
2.099
2.403
2.390
2.678
2.660
2.648
2.639
2.632
2.937
2.915
2.899
2.887
2.878
60
3.261
3.496
0.679
0.678
0.678
0.677
0.848
1.045
1.044
1.043
1.042
1.296
1.294
1.292
1.291
1.671
2,000
70
0,847
3.232
3.460
1.667
1.994
2.093
2.088
2.084
2.381
2.374
2.368
3.211
3.195
3.183
80
0.846
3.435
1.664
1.662
1,990
1.987
3.416
3.402
90
0.846
100
0.677
0.845
1.042
1.037
1.036
1.290
1.660
1.984
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
2.871
2.813
2.807
1000
3.174
3.390
0.675
0.674
0.842
0.842
1.282
1.282
1.646
1,645
1.962
1.960
3.098
3.090
3.300
3.291
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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