Critical Values of the t-Distribution a v 0.40 0.30 0.20 0.15 0.10 0.05 0.025 1 0.325 0.727 1.376 1.963 3.078 6.314 12.706 2 0.289 0.617 1.061 1.386 1.886 2.920 4.303 3 0.277 0.584 0.978 1.250 1.638 2.353 3.182 4 0.271 0.569 0.941 1.190 1.533 2.132 2.776 5 0.267 0.559 0.920 1.156 1.476 2.015 2.571 6 0.265 0.553 0.906 1.134 1.440 1.943 2.447 7 0.263 0.549 0.896 1.119 1.415 1.895 2.365 8 0.262 0.546 0.889 1.108 1.397 1.860 2.306 9 0.261 0.543 0.883 1.100 1.383 1.833 2.262 10 0.260 0.542 0.879 1.093 1.372 1.812 2.228 0.260 0.540 0.876 1.088 1.363 1.796 2.201 0.259 0.539 0.873 1.083 1.356 1.782 2.179 0.259 0.538 0.870 1.079 1.350 1.771 2.160 0.258 0.537 0.868 1.076 1.345 1.761 2.145 0.258 0.536 0.866 1.074 1.341 1.753 2.131 0.258 0.535 0.865 1.071 1.337 1.746 2.120 0.257 0.534 0.863 1.069 1.333 1.740 2.110 0.257 0.534 0.862 1.067 1.330 1.734 2.101 120 2222222222229828 0.257 0.533 0.861 1.066 1.328 1.729 2.093 20 0.257 0.533 0.860 1.064 1.325 1.725 2.086 0.257 0.532 0.859 1.063 1.323 1.721 2.080 0.256 0.532 0.858 1.061 1.321 1.717 2.074 0.256 0.532 0.858 1.060 1.319 1.714 2.069 24 0.256 0.531 0.857 1.059 1.318 1.711 2.064 0.256 0.531 0.856 1.058 1.316 1.708 2.060 0.256 0.531 0.856 1.058 1.315 1.706 2.056 0.256 0.531 0.855 1.057 1.314 1.703 2.052 0.256 0.530 0.855 1.056 1.313 1.701 2.048 0.256 0.530 0.854 1.055 1.311 1.699 2.045 0.256 0.530 0.854 1.055 1.310 1.697 2.042 40 0.255 0.529 0.851 1.050 1.303 1.684 2.021 60 0.254 0.527 0.848 1.045 1.296 1.671 2.000 0.254 0.526 0.845 1.041 1.289 1.658 1.980 0.253 0.524 0.842 1.036 1.282 1.645 1.960 > > 14 Critical Values of the t-Distribution a บ 0.02 0.015 0.01 0.0075 0.005 0.0025 0.0005 120 15.895 21.205 31.821 42.433 63.657 127.321 636.619 4.849 5.643 6.965 8.073 9.925 14.089 31.599 3 3.482 3.896 4.541 5.047 5.841 7.453 12.924 4 2.999 3.298 3.747 4.088 4.604 5.598 8.610 5 2.757 3.003 3.365 3.634 4.032 4.773 6.869 120 STRADURA 222222228 9828 2.612 2.829 3.143 3.372 3.707 4.317 5.959 2.517 2.715 2.998 3.203 3.499 4.029 5.408 2.449 2.634 2.896 3.085 3.355 3.833 5.041 2.398 2.574 2.821 2.998 3.250 3.690 4.781 2.359 2.527 2.764 2.932 3.169 3.581 4.587 2.328 2.491 2.718 2.879 3.106 3.497 4.437 2.303 2.461 2.681 2.836 3.055 3.428 4.318 2.282 2.436 2.650 2.801 3.012 3.372 4.221 2.264 2.415 2.624 2.771 2.977 3.326 4.140 2.249 2.397 2.602 2.746 2.947 3.286 4.073 2.235 2.382 2.583 2.724 2.921 3.252 4.015 2.224 2.368 2.567 2.706 2.898 3.222 3.965 2.214 2.356 2.552 2.689 2.878 3.197 3.922 2.205 2.346 2.539 2.674 2.861 3.174 3.883 2.197 2.336 2.528 2.661 2.845 3.153 3.850 2.189 2.328 2.518 2.649 2.831 3.135 3.819 2.183 2.320 2.508 2.639 2.819 3.119 3.792 2.177 2.313 2.500 2.629 2.807 3.104 3.768 24 2.172 2.307 2.492 2.620 2.797 3.091 3.745 2.167 2.301 2.485 2.612 2.787 3.078 3.725 26 2.162 2.296 2.479 2.605 2.779 3.067 3.707 2.158 2.291 2.473 2.598 2.771 3.057 3.690 2.154 2.286 2.467 2.592 2.763 3.047 3.674 2.150 2.282 2.462 2.586 2.756 3.038 3.659 2.147 2.278 2.457 2.581 2.750 3.030 3.646 2.123 2.250 2.423 2.542 2.704 2.971 3.551 2.099 2.223 2.390 2.504 2.660 2.915 3.460 2.076 2.196 2.358 2.468 2.617 2.860 3.373 2.054 2.170 2.326 2.432 2.576 2.807 3.291 |- |- < > Chemical compound data x (°C) y (grams) 0 4 2 4 15 14 15 12 30 23 27 28 45 41 42 44 60 51 52 49 75 53 58 52 fitted linear regression equation y=4.4127 +0.7283x -
Critical Values of the t-Distribution a v 0.40 0.30 0.20 0.15 0.10 0.05 0.025 1 0.325 0.727 1.376 1.963 3.078 6.314 12.706 2 0.289 0.617 1.061 1.386 1.886 2.920 4.303 3 0.277 0.584 0.978 1.250 1.638 2.353 3.182 4 0.271 0.569 0.941 1.190 1.533 2.132 2.776 5 0.267 0.559 0.920 1.156 1.476 2.015 2.571 6 0.265 0.553 0.906 1.134 1.440 1.943 2.447 7 0.263 0.549 0.896 1.119 1.415 1.895 2.365 8 0.262 0.546 0.889 1.108 1.397 1.860 2.306 9 0.261 0.543 0.883 1.100 1.383 1.833 2.262 10 0.260 0.542 0.879 1.093 1.372 1.812 2.228 0.260 0.540 0.876 1.088 1.363 1.796 2.201 0.259 0.539 0.873 1.083 1.356 1.782 2.179 0.259 0.538 0.870 1.079 1.350 1.771 2.160 0.258 0.537 0.868 1.076 1.345 1.761 2.145 0.258 0.536 0.866 1.074 1.341 1.753 2.131 0.258 0.535 0.865 1.071 1.337 1.746 2.120 0.257 0.534 0.863 1.069 1.333 1.740 2.110 0.257 0.534 0.862 1.067 1.330 1.734 2.101 120 2222222222229828 0.257 0.533 0.861 1.066 1.328 1.729 2.093 20 0.257 0.533 0.860 1.064 1.325 1.725 2.086 0.257 0.532 0.859 1.063 1.323 1.721 2.080 0.256 0.532 0.858 1.061 1.321 1.717 2.074 0.256 0.532 0.858 1.060 1.319 1.714 2.069 24 0.256 0.531 0.857 1.059 1.318 1.711 2.064 0.256 0.531 0.856 1.058 1.316 1.708 2.060 0.256 0.531 0.856 1.058 1.315 1.706 2.056 0.256 0.531 0.855 1.057 1.314 1.703 2.052 0.256 0.530 0.855 1.056 1.313 1.701 2.048 0.256 0.530 0.854 1.055 1.311 1.699 2.045 0.256 0.530 0.854 1.055 1.310 1.697 2.042 40 0.255 0.529 0.851 1.050 1.303 1.684 2.021 60 0.254 0.527 0.848 1.045 1.296 1.671 2.000 0.254 0.526 0.845 1.041 1.289 1.658 1.980 0.253 0.524 0.842 1.036 1.282 1.645 1.960 > > 14 Critical Values of the t-Distribution a บ 0.02 0.015 0.01 0.0075 0.005 0.0025 0.0005 120 15.895 21.205 31.821 42.433 63.657 127.321 636.619 4.849 5.643 6.965 8.073 9.925 14.089 31.599 3 3.482 3.896 4.541 5.047 5.841 7.453 12.924 4 2.999 3.298 3.747 4.088 4.604 5.598 8.610 5 2.757 3.003 3.365 3.634 4.032 4.773 6.869 120 STRADURA 222222228 9828 2.612 2.829 3.143 3.372 3.707 4.317 5.959 2.517 2.715 2.998 3.203 3.499 4.029 5.408 2.449 2.634 2.896 3.085 3.355 3.833 5.041 2.398 2.574 2.821 2.998 3.250 3.690 4.781 2.359 2.527 2.764 2.932 3.169 3.581 4.587 2.328 2.491 2.718 2.879 3.106 3.497 4.437 2.303 2.461 2.681 2.836 3.055 3.428 4.318 2.282 2.436 2.650 2.801 3.012 3.372 4.221 2.264 2.415 2.624 2.771 2.977 3.326 4.140 2.249 2.397 2.602 2.746 2.947 3.286 4.073 2.235 2.382 2.583 2.724 2.921 3.252 4.015 2.224 2.368 2.567 2.706 2.898 3.222 3.965 2.214 2.356 2.552 2.689 2.878 3.197 3.922 2.205 2.346 2.539 2.674 2.861 3.174 3.883 2.197 2.336 2.528 2.661 2.845 3.153 3.850 2.189 2.328 2.518 2.649 2.831 3.135 3.819 2.183 2.320 2.508 2.639 2.819 3.119 3.792 2.177 2.313 2.500 2.629 2.807 3.104 3.768 24 2.172 2.307 2.492 2.620 2.797 3.091 3.745 2.167 2.301 2.485 2.612 2.787 3.078 3.725 26 2.162 2.296 2.479 2.605 2.779 3.067 3.707 2.158 2.291 2.473 2.598 2.771 3.057 3.690 2.154 2.286 2.467 2.592 2.763 3.047 3.674 2.150 2.282 2.462 2.586 2.756 3.038 3.659 2.147 2.278 2.457 2.581 2.750 3.030 3.646 2.123 2.250 2.423 2.542 2.704 2.971 3.551 2.099 2.223 2.390 2.504 2.660 2.915 3.460 2.076 2.196 2.358 2.468 2.617 2.860 3.373 2.054 2.170 2.326 2.432 2.576 2.807 3.291 |- |- < > Chemical compound data x (°C) y (grams) 0 4 2 4 15 14 15 12 30 23 27 28 45 41 42 44 60 51 52 49 75 53 58 52 fitted linear regression equation y=4.4127 +0.7283x -
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
The amounts of a chemical compound y that dissolved in 100 grams of water at various temperatures x were recorded. The data were coded and recorded in the accompanying table. Use this information to answer parts a through c.
a) Evaluate s^2
s^2 = ____ (Round to two decimal places as needed.)
b) Construct a 99% confidence interval for Beta 0
_____ < Beta 0 < ____ (Round to three decimal places as needed.)
c) Construct a 99% confidence interval for Beta 1
_____ < Beta 1 < ____ (Round to three decimal places as needed.)
Transcribed Image Text:Critical Values of the t-Distribution
a
v
0.40
0.30
0.20
0.15
0.10
0.05
0.025
1
0.325
0.727
1.376
1.963
3.078
6.314
12.706
2
0.289
0.617
1.061
1.386
1.886
2.920
4.303
3
0.277
0.584
0.978
1.250
1.638
2.353
3.182
4
0.271
0.569
0.941
1.190
1.533
2.132
2.776
5
0.267
0.559
0.920
1.156
1.476
2.015
2.571
6
0.265
0.553
0.906
1.134
1.440
1.943
2.447
7
0.263
0.549
0.896
1.119
1.415
1.895
2.365
8
0.262
0.546
0.889
1.108
1.397
1.860
2.306
9
0.261
0.543
0.883
1.100
1.383
1.833
2.262
10
0.260
0.542
0.879
1.093
1.372
1.812
2.228
0.260
0.540
0.876
1.088
1.363
1.796
2.201
0.259
0.539
0.873
1.083
1.356
1.782
2.179
0.259
0.538
0.870
1.079
1.350
1.771
2.160
0.258
0.537
0.868
1.076
1.345
1.761
2.145
0.258
0.536
0.866
1.074
1.341
1.753
2.131
0.258
0.535
0.865
1.071
1.337
1.746
2.120
0.257
0.534
0.863
1.069
1.333
1.740
2.110
0.257
0.534
0.862
1.067
1.330
1.734
2.101
120
2222222222229828
0.257
0.533
0.861
1.066
1.328
1.729
2.093
20
0.257
0.533
0.860
1.064
1.325
1.725
2.086
0.257
0.532
0.859
1.063
1.323
1.721
2.080
0.256
0.532
0.858
1.061
1.321
1.717
2.074
0.256
0.532
0.858
1.060
1.319
1.714
2.069
24
0.256
0.531
0.857
1.059
1.318
1.711
2.064
0.256
0.531
0.856
1.058
1.316
1.708
2.060
0.256
0.531
0.856
1.058
1.315
1.706
2.056
0.256
0.531
0.855
1.057
1.314
1.703
2.052
0.256
0.530
0.855
1.056
1.313
1.701
2.048
0.256
0.530
0.854
1.055
1.311
1.699
2.045
0.256
0.530
0.854
1.055
1.310
1.697
2.042
40
0.255
0.529
0.851
1.050
1.303
1.684
2.021
60
0.254
0.527
0.848
1.045
1.296
1.671
2.000
0.254
0.526
0.845
1.041
1.289
1.658
1.980
0.253
0.524
0.842
1.036
1.282
1.645
1.960
> > 14
Critical Values of the t-Distribution
a
บ
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
120
15.895
21.205
31.821
42.433
63.657
127.321
636.619
4.849
5.643
6.965
8.073
9.925
14.089
31.599
3
3.482
3.896
4.541
5.047
5.841
7.453
12.924
4
2.999
3.298
3.747
4.088
4.604
5.598
8.610
5
2.757
3.003
3.365
3.634
4.032
4.773
6.869
120
STRADURA 222222228 9828
2.612
2.829
3.143
3.372
3.707
4.317
5.959
2.517
2.715
2.998
3.203
3.499
4.029
5.408
2.449
2.634
2.896
3.085
3.355
3.833
5.041
2.398
2.574
2.821
2.998
3.250
3.690
4.781
2.359
2.527
2.764
2.932
3.169
3.581
4.587
2.328
2.491
2.718
2.879
3.106
3.497
4.437
2.303
2.461
2.681
2.836
3.055
3.428
4.318
2.282
2.436
2.650
2.801
3.012
3.372
4.221
2.264
2.415
2.624
2.771
2.977
3.326
4.140
2.249
2.397
2.602
2.746
2.947
3.286
4.073
2.235
2.382
2.583
2.724
2.921
3.252
4.015
2.224
2.368
2.567
2.706
2.898
3.222
3.965
2.214
2.356
2.552
2.689
2.878
3.197
3.922
2.205
2.346
2.539
2.674
2.861
3.174
3.883
2.197
2.336
2.528
2.661
2.845
3.153
3.850
2.189
2.328
2.518
2.649
2.831
3.135
3.819
2.183
2.320
2.508
2.639
2.819
3.119
3.792
2.177
2.313
2.500
2.629
2.807
3.104
3.768
24
2.172
2.307
2.492
2.620
2.797
3.091
3.745
2.167
2.301
2.485
2.612
2.787
3.078
3.725
26
2.162
2.296
2.479
2.605
2.779
3.067
3.707
2.158
2.291
2.473
2.598
2.771
3.057
3.690
2.154
2.286
2.467
2.592
2.763
3.047
3.674
2.150
2.282
2.462
2.586
2.756
3.038
3.659
2.147
2.278
2.457
2.581
2.750
3.030
3.646
2.123
2.250
2.423
2.542
2.704
2.971
3.551
2.099
2.223
2.390
2.504
2.660
2.915
3.460
2.076
2.196
2.358
2.468
2.617
2.860
3.373
2.054
2.170
2.326
2.432
2.576
2.807
3.291
|- |-
< >
Transcribed Image Text:Chemical compound data
x (°C)
y (grams)
0
4
2
4
15
14
15
12
30
23
27
28
45
41
42
44
60
51
52
49
75
53
58
52
fitted linear regression equation
y=4.4127 +0.7283x
-
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