A survey was conducted that asked 1015 people how many books they had read in the past year. Results indicated that x = 12.9 books and s= 16.6 books. Construct a 99% confidence interval for the mean number of books people read. Interpret the interval. Click the icon to view the table of critical t-values. Construct a 99% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) OA. If repeated samples are taken, 99% of them will have a sample mean between and OB. There is 99% confidence that the population mean number of books read is between and . OC. There is a 99% probability that the true mean number books read is between and.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 2SE: What is a sample space?
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Question
A survey was conducted that asked 1015 people how many books they had read in the past year. Results indicated that x = 12.9 books and s= 16.6 books. Construct a 99% confidence interval for the mean number of books people read. Interpret
the interval.
Click the icon to view the table of critical t-values.
Construct a 99% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice.
(Use ascending order. Round to two decimal places as needed.)
A. If repeated samples are taken, 99% of them will have a sample mean between and
B. There is 99% confidence that the population mean number of books read is between
C. There is a 99% probability that the true mean number of books read is between
and.
and
Transcribed Image Text:A survey was conducted that asked 1015 people how many books they had read in the past year. Results indicated that x = 12.9 books and s= 16.6 books. Construct a 99% confidence interval for the mean number of books people read. Interpret the interval. Click the icon to view the table of critical t-values. Construct a 99% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) A. If repeated samples are taken, 99% of them will have a sample mean between and B. There is 99% confidence that the population mean number of books read is between C. There is a 99% probability that the true mean number of books read is between and. and
A
1
2 Degrees of Freedom
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
41
42
43
44
45
46
47
48
49
50
51
t-Distribution Area in Right Tail
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
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
0.682
0.682
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
1.994
1.99
1.987
1.984
1.962
1.96
H
0.02
15.894
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
J
0.01 0.005
31.821 63.657
6.965 9.925
5.841
4.541
3.747
4.604
3.365
4.032
3.143
3.707
2.998
2.896
3.499
3.355
3.25
3.169
2.821
2.764
2.718
3.106
2.681
3.055
2.65
3.012
2.624
2.977
2.602
2.947
2.583
2.921
2.567
2.898
2.552
2.878
2.539
2.861
2.528
2.845
2.518
2.831
2.508
2.819
2.5
2.807
2.492
2.797
2.485
2.787
2.479
2.779
2.473
2.771
2.467
2.763
2.462
2.756
2.457
2.75
2.453
2.744
2.449
2.738
2.445
2.733
2.441
2.728
2.438
2.724
2.434
2.719
2.431
2.715
2.429
2.712
2.426
2.708
2.423
2.704
2.403
2.678
2.39
2.66
2.381
2.648
2.374
2.639
2.368
2.632
2.364
2.626
2.33
2.581
2.326
2.576
K
L
M
0.0025
0.001 0.0005
127.321 318.309 636.619
14.089 22.327 31.599
7.453 10.215 12.924
5.598 7.173
8.61
4.773
5.893
6.869
4.317
5.208
5.959
4.029
4.785
5.408
4.501
3.833
3.69
3.581
5.041
4.781
4.297
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
Transcribed Image Text:A 1 2 Degrees of Freedom 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 41 42 43 44 45 46 47 48 49 50 51 t-Distribution Area in Right Tail 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 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 0.682 0.682 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 1.994 1.99 1.987 1.984 1.962 1.96 H 0.02 15.894 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 J 0.01 0.005 31.821 63.657 6.965 9.925 5.841 4.541 3.747 4.604 3.365 4.032 3.143 3.707 2.998 2.896 3.499 3.355 3.25 3.169 2.821 2.764 2.718 3.106 2.681 3.055 2.65 3.012 2.624 2.977 2.602 2.947 2.583 2.921 2.567 2.898 2.552 2.878 2.539 2.861 2.528 2.845 2.518 2.831 2.508 2.819 2.5 2.807 2.492 2.797 2.485 2.787 2.479 2.779 2.473 2.771 2.467 2.763 2.462 2.756 2.457 2.75 2.453 2.744 2.449 2.738 2.445 2.733 2.441 2.728 2.438 2.724 2.434 2.719 2.431 2.715 2.429 2.712 2.426 2.708 2.423 2.704 2.403 2.678 2.39 2.66 2.381 2.648 2.374 2.639 2.368 2.632 2.364 2.626 2.33 2.581 2.326 2.576 K L M 0.0025 0.001 0.0005 127.321 318.309 636.619 14.089 22.327 31.599 7.453 10.215 12.924 5.598 7.173 8.61 4.773 5.893 6.869 4.317 5.208 5.959 4.029 4.785 5.408 4.501 3.833 3.69 3.581 5.041 4.781 4.297 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
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