In a random sample of 100 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3464 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. Click the icon to view the t-distribution table. The lower bound is $. (Round to the nearest dollar as needed.) The upper bound is $. (Round to the nearest dollar as needed.) Interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns. Choose the correct answer below. OA. One can be 90% confident that the mean additional tax owed is less than the lower bound. OB. One can be 90% confident that the mean additional tax owed is between the lower and upper bounds. OC. One can be 90% confident that the mean additional tax owed is greater than the upper bound.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
icon
Related questions
Question
In a random sample of 100 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3464 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.
Click the icon to view the t-distribution table.
The lower bound is $
(Round to the nearest dollar as needed.)
The upper bound is $
(Round to the nearest dollar as needed.)
Interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns. Choose the correct answer below.
A. One can be 90% confident that the mean additional tax owed is less than the lower bound.
B.
One can be 90%
confident that the mean additional tax owed is between the lower and upper bounds.
C. One can be 90% confident that the mean additional tax owed is greater than the upper bound.
Transcribed Image Text:In a random sample of 100 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3464 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. Click the icon to view the t-distribution table. The lower bound is $ (Round to the nearest dollar as needed.) The upper bound is $ (Round to the nearest dollar as needed.) Interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns. Choose the correct answer below. A. One can be 90% confident that the mean additional tax owed is less than the lower bound. B. One can be 90% confident that the mean additional tax owed is between the lower and upper bounds. C. One can be 90% confident that the mean additional tax owed is greater than the upper bound.
1
2
3 df
4
5
t-Distribution
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51 z
52
53
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
50
60
70
80
90
100
1000
B
Area in Right Tail
0.25
0.816
0.765
0.741
0.727
0.718
0.711
0.706
0.703
0.7
0.697
0.695
0.694
0.692
0.691
0.69
0.689
0.688
0.688
0.687
0.686
0.686
0.685
0.685
0.684
0.684
0.684
0.683
0.683
0.683
0.682
0.682
0.682
0.682
0.682
0.681
0.681
0.681
0.681
0.681
0.679
0.679
0.678
0.678
0.677
0.677
0.675
0.674
C
0.2
1.376
1.061
0.978
0.941
0.92
0.906
0.896
0.889
0.883
0.879
0.876
0.873
0.87
0.868
0.866
0.865
0.863
0.862
0.861
0.86
0.859
0.858
0.858
0.857
0.856
0.856
0.855
0.855
0.854
0.854
0.853
0.853
0.853
0.852
0.852
0.852
0.851
0.851
0.851
0.851
0.849
0.848
0.847
0.846
0.846
0.845
0.842
0.842
D
0.15
1.963
1.386
1.25
1.19
1.156
1.134
1.119
1.108
1.1
1.093
1.088
1.083
1.079
1.076
1.074
1.071
1.069
1.067
1.066
1.064
1.063
1.061
1.06
1.059
1.058
1.058
1.057
1.056
1.055
1.055
1.054
1.054
1.053
1.052
1.052
1.052
1.051
1.051
1.05
1.05
1.047
1.045
1.044
1.043
1.042
1.042
1.037
1.036
E
0.1
3.078
1.886
1.638
1.533
1.476
1.44
1.415
1.397
1.383
1.372
1.363
1.356
1.35
1.345
1.341
1.337
1.333
1.33
1.328
1.325
1.323
1.321
1.319
1.318
1.316
1.315
1.314
1.313
1.311
1.31
1.309
1.309
1.308
1.307
1.306
1.306
1.305
1.304
1.304
1.303
1.299
1.296
1.294
1.292
1.291
1.29
1.282
1.282
F
0.05
6.314
2.92
2.353
2.132
2.015
1.943
1.895
1.86
1.833
1.812
1.796
1.782
1.771
1.761
1.753
1.746
1.74
1.734
1.729
1.725
1.721
1.717
1.714
1.711
1.708
1.706
1.703
1.701
1.699
1.697
1.696
1.694
1.692
1.691
1.69
1.688
1.687
1.686
1.685
1.684
1.676
1.671
1.667
1.664
1.662
1.66
1.646
1.645
G
0.025
12.706
4.303
3.182
2.776
2.571
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.16
2.145
2.131
2.12
2.11
2.101
2.093
2.086
2.08
2.074
2.069
2.064
2.06
2.056
2.052
2.048
2.045
2.042
2.04
2.037
2.035
2.032
2.03
2.028
2.026
2.024
2.023
2.021
2.009
2
1.994
1.99
1.987
1.984
1.962
1.96
H
0.02
15.895
4.849
3.482
2.999
2.757
2.612
2.517
2.449
2.398
2.359
2.328
2.303
2.282
2.264
2.249
2.235
2.224
2.214
2.205
2.197
2.189
2.183
2.177
2.172
2.167
2.162
2.158
2.154
2.15
2.147
2.144
2.141
2.138
2.136
2.133
2.131
2.129
2.127
2.125
2.123
2.109
2.099
2.093
2.088
2.084
2.081
2.056
2.054
I
0.01
31.821
6.965
4.541
3.747
3.365
3.143
2.998
2.896
2.821
2.764
2.718
2.681
2.65
2.624
2.602
2.583
2.567
2.552
2.539
2.528
2.518
2.508
2.5
2.492
2.485
2.479
2.473
2.467
2.462
2.457
2.453
2.449
2.445
2.441
2.438
2.434
2.431
2.429
2.426
2.423
2.403
2.39
2.381
2.374
2.368
2.364
2.33
2.326
0.005
63.657
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.25
3.169
3.106
3.055
3.012
2.977
2.947
2.921
2.898
2.878
2.861
2.845
2.831
2.819
2.807
2.797
2.787
2.779
2.771
2.763
2.756
2.75
2.744
2.738
2.733
2.728
2.724
2.719
2.715
2.712
2.708
2.704
2.678
2.66
2.648
2.639
2.632
2.626
2.581
2.576
K
L
M
0.0005
0.0025 0.001
127.321 318.309 636.619
14.089 22.327 31.599
7.453 10.215
12.924
5.598
7.173
5.893
8.61
6.869
4.773
4.317
5.208
5.959
4.029
4.785
5.408
4.501
5.041
3.833
3.69
4.297
4.781
3.581
4.144
4.587
3.497
4.025
4.437
3.428
3.93
4.318
3.372
3.852
4.221
3.326
3.787
4.14
3.286
3.733
4.073
3.252
3.686
4.015
3.222
3.646
3.965
3.197
3.61
3.922
3.174
3.579
3.883
3.153
3.552
3.85
3.135
3.527
3.819
3.119
3.505
3.792
3.104
3.485
3.768
3.091
3.467
3.745
3.078
3.45
3.725
3.067
3.435
3.707
3.057
3.421
3.69
3.047
3.408
3.674
3.038
3.396
3.659
3.03
3.385
3.646
3.022
3.375
3.633
3.015
3.365
3.622
3.008
3.356
3.611
3.002
3.348
3.601
2.996
3.34
3.591
2.99
3.333
3.582
2.985
3.326
3.574
2.98
3.319
3.566
2.976
3.313
3.558
2.971
3.307
3.551
2.937
3.261
3.496
2.915
3.232
3.46
2.899
3.211
3.435
2.887
3.195
3.416
2.878
3.183
3.402
2.871
3.174
3.39
2.813
3.098
3.3
2.807
3.09
3.291
N
O
P
Q
Transcribed Image Text:1 2 3 df 4 5 t-Distribution 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 z 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 50 60 70 80 90 100 1000 B Area in Right Tail 0.25 0.816 0.765 0.741 0.727 0.718 0.711 0.706 0.703 0.7 0.697 0.695 0.694 0.692 0.691 0.69 0.689 0.688 0.688 0.687 0.686 0.686 0.685 0.685 0.684 0.684 0.684 0.683 0.683 0.683 0.682 0.682 0.682 0.682 0.682 0.681 0.681 0.681 0.681 0.681 0.679 0.679 0.678 0.678 0.677 0.677 0.675 0.674 C 0.2 1.376 1.061 0.978 0.941 0.92 0.906 0.896 0.889 0.883 0.879 0.876 0.873 0.87 0.868 0.866 0.865 0.863 0.862 0.861 0.86 0.859 0.858 0.858 0.857 0.856 0.856 0.855 0.855 0.854 0.854 0.853 0.853 0.853 0.852 0.852 0.852 0.851 0.851 0.851 0.851 0.849 0.848 0.847 0.846 0.846 0.845 0.842 0.842 D 0.15 1.963 1.386 1.25 1.19 1.156 1.134 1.119 1.108 1.1 1.093 1.088 1.083 1.079 1.076 1.074 1.071 1.069 1.067 1.066 1.064 1.063 1.061 1.06 1.059 1.058 1.058 1.057 1.056 1.055 1.055 1.054 1.054 1.053 1.052 1.052 1.052 1.051 1.051 1.05 1.05 1.047 1.045 1.044 1.043 1.042 1.042 1.037 1.036 E 0.1 3.078 1.886 1.638 1.533 1.476 1.44 1.415 1.397 1.383 1.372 1.363 1.356 1.35 1.345 1.341 1.337 1.333 1.33 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.31 1.309 1.309 1.308 1.307 1.306 1.306 1.305 1.304 1.304 1.303 1.299 1.296 1.294 1.292 1.291 1.29 1.282 1.282 F 0.05 6.314 2.92 2.353 2.132 2.015 1.943 1.895 1.86 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.74 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.696 1.694 1.692 1.691 1.69 1.688 1.687 1.686 1.685 1.684 1.676 1.671 1.667 1.664 1.662 1.66 1.646 1.645 G 0.025 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.16 2.145 2.131 2.12 2.11 2.101 2.093 2.086 2.08 2.074 2.069 2.064 2.06 2.056 2.052 2.048 2.045 2.042 2.04 2.037 2.035 2.032 2.03 2.028 2.026 2.024 2.023 2.021 2.009 2 1.994 1.99 1.987 1.984 1.962 1.96 H 0.02 15.895 4.849 3.482 2.999 2.757 2.612 2.517 2.449 2.398 2.359 2.328 2.303 2.282 2.264 2.249 2.235 2.224 2.214 2.205 2.197 2.189 2.183 2.177 2.172 2.167 2.162 2.158 2.154 2.15 2.147 2.144 2.141 2.138 2.136 2.133 2.131 2.129 2.127 2.125 2.123 2.109 2.099 2.093 2.088 2.084 2.081 2.056 2.054 I 0.01 31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.65 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.5 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.453 2.449 2.445 2.441 2.438 2.434 2.431 2.429 2.426 2.423 2.403 2.39 2.381 2.374 2.368 2.364 2.33 2.326 0.005 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.25 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.75 2.744 2.738 2.733 2.728 2.724 2.719 2.715 2.712 2.708 2.704 2.678 2.66 2.648 2.639 2.632 2.626 2.581 2.576 K L M 0.0005 0.0025 0.001 127.321 318.309 636.619 14.089 22.327 31.599 7.453 10.215 12.924 5.598 7.173 5.893 8.61 6.869 4.773 4.317 5.208 5.959 4.029 4.785 5.408 4.501 5.041 3.833 3.69 4.297 4.781 3.581 4.144 4.587 3.497 4.025 4.437 3.428 3.93 4.318 3.372 3.852 4.221 3.326 3.787 4.14 3.286 3.733 4.073 3.252 3.686 4.015 3.222 3.646 3.965 3.197 3.61 3.922 3.174 3.579 3.883 3.153 3.552 3.85 3.135 3.527 3.819 3.119 3.505 3.792 3.104 3.485 3.768 3.091 3.467 3.745 3.078 3.45 3.725 3.067 3.435 3.707 3.057 3.421 3.69 3.047 3.408 3.674 3.038 3.396 3.659 3.03 3.385 3.646 3.022 3.375 3.633 3.015 3.365 3.622 3.008 3.356 3.611 3.002 3.348 3.601 2.996 3.34 3.591 2.99 3.333 3.582 2.985 3.326 3.574 2.98 3.319 3.566 2.976 3.313 3.558 2.971 3.307 3.551 2.937 3.261 3.496 2.915 3.232 3.46 2.899 3.211 3.435 2.887 3.195 3.416 2.878 3.183 3.402 2.871 3.174 3.39 2.813 3.098 3.3 2.807 3.09 3.291 N O P Q
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill