TABLE c t distribution critical values CONFIDENCE LEVEL C DEGREES OF FREEDOM 50% 60% 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 99.9% 1.376 1.963 1.386 1.250 15.89 4.849 3.482 318.3 3.078 6.314 12.71 1.886 2.920 1.638 2.353 1.533 2.132 1.476 2.015 31.82 6.965 4.541 3.747 3.365 127.3 14.09 7.453 5.598 4.773 4.317 1.000 63.66 636.6 4.303 3.182 9.925 5.841 4.604 4.032 3.707 31.60 12.92 2 0.816 1.061 22.33 3 0.978 0.765 0.741 0.941 0.727 0.920 1.156 10.21 1.190 8.610 6.869 4 2.776 2.571 2.999 7.173 5.893 2.757 2.612 2.517 6. 3.143 5.208 5.959 0.718 0.906 1.134 1.440 1.943 1.415 1.895 1.397 1.860 2.447 2.365 4.785 4.501 5.408 5.041 0.711 0.896 1.119 2.998 3.499 3.355 4.029 8 0.706 0.889 1.108 2.306 2.449 2.896 3.833 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.144 4.025 3.930 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 1.812 1.796 1.782 1.372 2.228 2.201 2.179 2.160 2.145 2.359 2.328 2.303 2.282 2.264 2.249 2.764 3.581 3.497 3.428 3.372 3.326 3.286 10 0.700 0.879 1.093 0.697 0.695 3.169 1.363 0.873 1.083 1.356 0.694 0.870 1.079 1.350 1.771 1.076 1.345 1.074 1.341 1.753 3.106 3.055 3.012 11 0.876 1.088 2.718 2.681 2.650 2.624 12 3.852 3.787 3.733 13 0.868 0.866 2.977 2.947 1.761 14 15 0.692 0.691 2.131 2.602 16 0.690 0.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 0.689 0.688 17 0.863 1.069 1.333 2.224 2.567 3.222 1.740 1.330 1.734 2.110 2.898 3.646 3.611 18 0.862 1.067 2.101 2.214 2.552 2.878 3.197 3.922 3.579 3.552 0.861 1.066 2.093 2.205 2.539 3.883 3.850 19 0.688 1.328 1.729 2.861 3.174 3.153 3.135 1.325 1.725 2.528 2.518 2.508 2.500 2.492 20 0.860 1.064 2.086 2.845 0.687 0.686 0.686 0.685 0.685 0.684 0.684 2.197 3.527 3.505 0.859 1.063 1.061 21 1.323 1.721 2.080 2.189 2.831 3.819 2.819 2.807 2.797 2.787 2.779 0.858 0.858 2.074 2.069 2.064 2.060 2.183 2.177 2.172 2.167 22 1.321 1.717 1.319 1.714 1.318 3.119 1.060 0.857 1.059 1.058 3.485 3.467 3.450 3.792 3.768 3.745 3.725 23 3.104 3.091 24 25 1.711 0.856 1.316 1.708 2.485 3.078 0.856 1.058 1.315 1.706 2.056 3.435 3.421 3.408 26 2.162 2.479 3.067 3.707 0.684 0.855 1.057 1.314 1.703 0.683 0.855 1.056 3.057 3.047 27 2.052 2.158 2.473 2.771 3.690 2.048 2.154 2.467 2.462 2.457 2.423 2.403 2.390 2.374 2.364 2.330 28 1.313 1.701 2.763 3.674 0.854 1.055 0.683 0.854 1.055 1.310 0.851 29 0.683 1.311 1.699 2.045 2.150 2.756 3.038 3.396 3.659 1.697 1.684 1.676 1.296 1.671 1.664 1.660 1.646 1.645 2.042 2.021 2.147 2.123 2.750 2.704 2.678 2.660 2.639 2.626 2.581 2.576 30 3.030 2.971 3.385 3.307 3.261 3.232 3.195 3.174 3.098 3.091 3.646 3.551 3.496 3.460 3.416 1.050 1.303 40 50 60 80 0.681 0.679 0.679 0.678 0.677 0.675 0.849 1.047 1.299 0.848 1.045 0.846 1.043 1.292 0.845 1.042 1.290 1.037 1.036 2.937 2.915 2.887 2.871 2.813 2.807 2.009 2.109 2.000 2.099 1.990 2.088 100 1000 z* 1.984 1.962 1.960 2.081 3.390 0.842 1.282 2.056 3.300 0.674 0.841 1.282 2.054 2.326 3.291 One-sided P .25 .20 .15 .10 .05 .025 .02 .01 .005 .0025 .001 .0005 Two-sided P .50 .40 .30 .20 .10 .05 .04 .02 .01 .005 .002 .001 8우 The one-sample t statistic for testing the hypotheses below from a sample of n = 19 observations has the value t = 1.6. Но: и 3D о Hạ: µ > 0 (a) What are the degrees of freedom for this statistic? df = (b) Give the two critical values t* from Table C that bracket t. (Enter your answers to three decimal places.) < t* < What are the one-sided P-values for these two entries? (Enter your answers to three decimal places.) < P-value <

Question
TABLE c t distribution critical values
CONFIDENCE LEVEL C
DEGREES OF
FREEDOM
50%
60%
70%
80%
90%
95%
96%
98%
99%
99.5%
99.8%
99.9%
1.376 1.963
1.386
1.250
15.89
4.849
3.482
318.3
3.078 6.314 12.71
1.886 2.920
1.638 2.353
1.533 2.132
1.476 2.015
31.82
6.965
4.541
3.747
3.365
127.3
14.09
7.453
5.598
4.773
4.317
1.000
63.66
636.6
4.303
3.182
9.925
5.841
4.604
4.032
3.707
31.60
12.92
2
0.816
1.061
22.33
3
0.978
0.765
0.741 0.941
0.727 0.920 1.156
10.21
1.190
8.610
6.869
4
2.776
2.571
2.999
7.173
5.893
2.757
2.612
2.517
6.
3.143
5.208
5.959
0.718 0.906 1.134 1.440 1.943
1.415 1.895
1.397 1.860
2.447
2.365
4.785
4.501
5.408
5.041
0.711 0.896 1.119
2.998
3.499
3.355
4.029
8
0.706 0.889
1.108
2.306
2.449
2.896
3.833
0.703
0.883
1.100
1.383
1.833
2.262
2.398
2.821
3.250
3.690
4.297
4.144
4.025
3.930
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
3.965
1.812
1.796
1.782
1.372
2.228
2.201
2.179
2.160
2.145
2.359
2.328
2.303
2.282
2.264
2.249
2.764
3.581
3.497
3.428
3.372
3.326
3.286
10
0.700 0.879 1.093
0.697
0.695
3.169
1.363
0.873 1.083 1.356
0.694 0.870 1.079 1.350 1.771
1.076 1.345
1.074 1.341 1.753
3.106
3.055
3.012
11
0.876 1.088
2.718
2.681
2.650
2.624
12
3.852
3.787
3.733
13
0.868
0.866
2.977
2.947
1.761
14
15
0.692
0.691
2.131
2.602
16
0.690
0.865 1.071
1.337 1.746
2.120
2.235
2.583
2.921
3.252
3.686
0.689
0.688
17
0.863
1.069 1.333
2.224
2.567
3.222
1.740
1.330 1.734
2.110
2.898
3.646
3.611
18
0.862
1.067
2.101
2.214
2.552
2.878
3.197
3.922
3.579
3.552
0.861
1.066
2.093
2.205
2.539
3.883
3.850
19
0.688
1.328 1.729
2.861
3.174
3.153
3.135
1.325 1.725
2.528
2.518
2.508
2.500
2.492
20
0.860
1.064
2.086
2.845
0.687
0.686
0.686
0.685
0.685
0.684
0.684
2.197
3.527
3.505
0.859
1.063
1.061
21
1.323
1.721
2.080
2.189
2.831
3.819
2.819
2.807
2.797
2.787
2.779
0.858
0.858
2.074
2.069
2.064
2.060
2.183
2.177
2.172
2.167
22
1.321
1.717
1.319 1.714
1.318
3.119
1.060
0.857 1.059
1.058
3.485
3.467
3.450
3.792
3.768
3.745
3.725
23
3.104
3.091
24
25
1.711
0.856
1.316
1.708
2.485
3.078
0.856
1.058
1.315 1.706
2.056
3.435
3.421
3.408
26
2.162
2.479
3.067
3.707
0.684 0.855 1.057 1.314 1.703
0.683 0.855 1.056
3.057
3.047
27
2.052
2.158
2.473
2.771
3.690
2.048
2.154
2.467
2.462
2.457
2.423
2.403
2.390
2.374
2.364
2.330
28
1.313
1.701
2.763
3.674
0.854 1.055
0.683 0.854 1.055 1.310
0.851
29
0.683
1.311
1.699
2.045
2.150
2.756
3.038
3.396
3.659
1.697
1.684
1.676
1.296 1.671
1.664
1.660
1.646
1.645
2.042
2.021
2.147
2.123
2.750
2.704
2.678
2.660
2.639
2.626
2.581
2.576
30
3.030
2.971
3.385
3.307
3.261
3.232
3.195
3.174
3.098
3.091
3.646
3.551
3.496
3.460
3.416
1.050 1.303
40
50
60
80
0.681
0.679
0.679
0.678
0.677
0.675
0.849 1.047 1.299
0.848 1.045
0.846 1.043 1.292
0.845 1.042 1.290
1.037
1.036
2.937
2.915
2.887
2.871
2.813
2.807
2.009
2.109
2.000
2.099
1.990
2.088
100
1000
z*
1.984
1.962
1.960
2.081
3.390
0.842
1.282
2.056
3.300
0.674
0.841
1.282
2.054
2.326
3.291
One-sided P
.25
.20
.15
.10
.05
.025
.02
.01
.005
.0025
.001
.0005
Two-sided P
.50
.40
.30
.20
.10
.05
.04
.02
.01
.005
.002
.001
8우
Expand
Transcribed Image Text

TABLE c t distribution critical values CONFIDENCE LEVEL C DEGREES OF FREEDOM 50% 60% 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 99.9% 1.376 1.963 1.386 1.250 15.89 4.849 3.482 318.3 3.078 6.314 12.71 1.886 2.920 1.638 2.353 1.533 2.132 1.476 2.015 31.82 6.965 4.541 3.747 3.365 127.3 14.09 7.453 5.598 4.773 4.317 1.000 63.66 636.6 4.303 3.182 9.925 5.841 4.604 4.032 3.707 31.60 12.92 2 0.816 1.061 22.33 3 0.978 0.765 0.741 0.941 0.727 0.920 1.156 10.21 1.190 8.610 6.869 4 2.776 2.571 2.999 7.173 5.893 2.757 2.612 2.517 6. 3.143 5.208 5.959 0.718 0.906 1.134 1.440 1.943 1.415 1.895 1.397 1.860 2.447 2.365 4.785 4.501 5.408 5.041 0.711 0.896 1.119 2.998 3.499 3.355 4.029 8 0.706 0.889 1.108 2.306 2.449 2.896 3.833 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250 3.690 4.297 4.144 4.025 3.930 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 1.812 1.796 1.782 1.372 2.228 2.201 2.179 2.160 2.145 2.359 2.328 2.303 2.282 2.264 2.249 2.764 3.581 3.497 3.428 3.372 3.326 3.286 10 0.700 0.879 1.093 0.697 0.695 3.169 1.363 0.873 1.083 1.356 0.694 0.870 1.079 1.350 1.771 1.076 1.345 1.074 1.341 1.753 3.106 3.055 3.012 11 0.876 1.088 2.718 2.681 2.650 2.624 12 3.852 3.787 3.733 13 0.868 0.866 2.977 2.947 1.761 14 15 0.692 0.691 2.131 2.602 16 0.690 0.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 3.686 0.689 0.688 17 0.863 1.069 1.333 2.224 2.567 3.222 1.740 1.330 1.734 2.110 2.898 3.646 3.611 18 0.862 1.067 2.101 2.214 2.552 2.878 3.197 3.922 3.579 3.552 0.861 1.066 2.093 2.205 2.539 3.883 3.850 19 0.688 1.328 1.729 2.861 3.174 3.153 3.135 1.325 1.725 2.528 2.518 2.508 2.500 2.492 20 0.860 1.064 2.086 2.845 0.687 0.686 0.686 0.685 0.685 0.684 0.684 2.197 3.527 3.505 0.859 1.063 1.061 21 1.323 1.721 2.080 2.189 2.831 3.819 2.819 2.807 2.797 2.787 2.779 0.858 0.858 2.074 2.069 2.064 2.060 2.183 2.177 2.172 2.167 22 1.321 1.717 1.319 1.714 1.318 3.119 1.060 0.857 1.059 1.058 3.485 3.467 3.450 3.792 3.768 3.745 3.725 23 3.104 3.091 24 25 1.711 0.856 1.316 1.708 2.485 3.078 0.856 1.058 1.315 1.706 2.056 3.435 3.421 3.408 26 2.162 2.479 3.067 3.707 0.684 0.855 1.057 1.314 1.703 0.683 0.855 1.056 3.057 3.047 27 2.052 2.158 2.473 2.771 3.690 2.048 2.154 2.467 2.462 2.457 2.423 2.403 2.390 2.374 2.364 2.330 28 1.313 1.701 2.763 3.674 0.854 1.055 0.683 0.854 1.055 1.310 0.851 29 0.683 1.311 1.699 2.045 2.150 2.756 3.038 3.396 3.659 1.697 1.684 1.676 1.296 1.671 1.664 1.660 1.646 1.645 2.042 2.021 2.147 2.123 2.750 2.704 2.678 2.660 2.639 2.626 2.581 2.576 30 3.030 2.971 3.385 3.307 3.261 3.232 3.195 3.174 3.098 3.091 3.646 3.551 3.496 3.460 3.416 1.050 1.303 40 50 60 80 0.681 0.679 0.679 0.678 0.677 0.675 0.849 1.047 1.299 0.848 1.045 0.846 1.043 1.292 0.845 1.042 1.290 1.037 1.036 2.937 2.915 2.887 2.871 2.813 2.807 2.009 2.109 2.000 2.099 1.990 2.088 100 1000 z* 1.984 1.962 1.960 2.081 3.390 0.842 1.282 2.056 3.300 0.674 0.841 1.282 2.054 2.326 3.291 One-sided P .25 .20 .15 .10 .05 .025 .02 .01 .005 .0025 .001 .0005 Two-sided P .50 .40 .30 .20 .10 .05 .04 .02 .01 .005 .002 .001 8우

The one-sample t statistic for testing the hypotheses below from a sample of n = 19 observations has the value t = 1.6.
Но: и 3D о
Hạ: µ > 0
(a) What are the degrees of freedom for this statistic?
df =
(b) Give the two critical values t* from Table C that bracket t. (Enter your answers to three decimal places.)
< t* <
What are the one-sided P-values for these two entries? (Enter your answers to three decimal places.)
< P-value <
Expand
Transcribed Image Text

The one-sample t statistic for testing the hypotheses below from a sample of n = 19 observations has the value t = 1.6. Но: и 3D о Hạ: µ > 0 (a) What are the degrees of freedom for this statistic? df = (b) Give the two critical values t* from Table C that bracket t. (Enter your answers to three decimal places.) < t* < What are the one-sided P-values for these two entries? (Enter your answers to three decimal places.) < P-value <

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