Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance a, and sample size n. Two-tailed test, a=0.10, n = 13
Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance a, and sample size n. Two-tailed test, a=0.10, n = 13
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Question
Transcribed Image Text:The critical value(s) is/are
(Round to the nearest thousandth as needed. Use a comma to separate answers as needed.)
t-Distribution Table
d.f.
1
2
3
4
5
6
7
8
9
10
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16
34
36
50
Click the icon to view the t-distribution table.
70
500
Level of
confidence, c 0.80 0.90
0.95
0.10 0.05
0.025
0.20 0.10
0.05
3.078 6.314 12.706 31.821
1.886 2.920 4.303 6.965
9.925 2
1.638 2.353 3.182
5.841 3
4.541
1.533 2.132 2.776 3.747 4,604 4
1.476 2.015 2.571 3.365 4.032 5
1.440 1.943 2.447 3.143 3.707 6
1.415 1.895 2.365 2.998 3.499 7
1.397 1.860 2.306 2.896
3.355 8
1.383 1.833 2.262 2.821 3.250 9
1,372
2.228 2.764
3.169
10
2.201 2.718 3.106 11
1.812
1.363 1.796
1.356
1.782
2.179 2.681
3.055 12
1.350
2.160 2.650
3.012 13
1.771
1.345 1.761
2.145
1.341 1.753
2.131
2.624 2.977 14
2.602
2.947 15
2.583 2.921 16
1.337
1.746
2.120
2.898 17
2.878 18
2.552
2.539 2.861 19
2.110 2.567
2.101
2.093
2.086 2.528 2.845 20
2.080 2.518 2.831 21
2.074 2.508 2.819 22
2.069 2.500
2.807 23
2.064 2.492 2.797 24
2.060 2.485 2.787 25
2.779 26
2.052 2.473 2.771 27
2.056 2,479
2.048 2.467 2.763 28
2.045 2.462 2.756 29
2.042
2.457
2.750 30
One tail, a
Two tails, a
Level of
confidence, c
One tail, a
Two tails, a
1.333
1.740
1.330 1.734
1.328 1.729
1.325 1.725
1.323 1.721
1.321 1.717
1.319 1.714
1.318 1.711
1.708
1.706
1.703
1.701
1.699
1.697
1.316
1.315
1.314
1.313
1.311
1.310
1.309
1.309
2.040
2.453
2.744 31
2.037 2,449 2.738 32
2.035 2.445
2.733 33
2.032 2.441 2.728 34
2.030 2.438
2.028 2.434
2.026 2.431
2.715
2.024 2,429 2.712
2.023
2.426 2.708 39
1.303 1.684
2.021
2.423 2,704 40
1.301
1.679
2.014
2,412
2.690 45
1.676
2.009
2.403
1.671
2.678 50
2.000 2.390 2.660 60
1.667 1.994 2.381 2.648 70
1,664 1.990 2.374 2.639 80
1.291 1.662 1.987 2.368 2.632 90
1,290 1.660 1.984 2.364 2.626 100
1.283 1.648 1.965 2.334 2.586 500
1.282 1.646 1.962 2.330 2.581 1000
1.282 1.645
1.960 2.326 2.576 30
d.f.
1.308
1.307
1.306
1.690
1.306 1.688
1.305 1.687
1.304
1.304
1.696
1.694
1.299
1.296
1.294
1.292
1.692
1.691
1.686
1.685
0.98
0.01
0.02
0.99
0.005
0.01 d.f.
63.657 1
0.80 0.90
0.10 0.05 0.025
0.20 0.10
2.724 35
2.719 36
0.95 0.98 0.99
0.01 0.005
0.05 0.02 0.01
37
38
- X
Check answer
Transcribed Image Text:Find the critical value(s) and rejection region(s) for the indicated t-test, level of significance a, and sample size n.
Two-tailed test, a = 0.10, n=13
Click the icon to view the t-distribution table.
The critical value(s) is/are
(Round to the nearest thousandth as needed. Use a comma to separate answers as needed.)
t-Distribution Table
d.f.
1
2
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
45
50
60
70
80
90
100
500
1000
d.f.
Level of
0.99
0.005
confidence, c 0.80 0.90 0.95 0.98
0.10 0.05 0.025 0.01
0.20 0.10 0.05 0.02 0.01
3.078 6.314 12.706 31.821 63.657 1
d.f.
1.886 2.920 4.303 6.965 9.925 2
1.638 2.353 3.182 4.541 5.841 3
1.533 2.132 2,776 3.747 4.604 4
1.476 2015 2.571 3.365 4.032 5
1.440 1.943 2.447 3.143 3.707 6
1.415 1.895 2.365 2.998 3.499 7
1.397 1.860 2.306 2.896 3.355 8
1.383 1.833 2,262 2.821 3.250 9
1.372 1.812 2.228 2.764 3.169 10
1.363 1.796 2.201 2.718 3.106 11
1.356 1.782 2.179 2.681 3.055 12
1.350 1.771 2.160 2.650 3.012 13
1.345 1.761 2.145 2.624 2.977 14
2.947 15
1.341 1.753
2.131
2.120
2.602
2.583 2.921 16
2.110 2.567 2.898 17
2.101 2.552 2.878 18
2.093 2.539
2.861 19
2.086 2.528 2.845 20
2.080 2.518 2.831 21
One tail, a
Two tails, a
Level of
confidence.c
1.337 1.746
1.333 1.740
1.330 1.734
1.328 1.729
1.325 1.725
2.074 2.508 2.819 22
1.323 1.721
1.321 1.717
1.319 1.714 2.069 2.500 2.807 23
1.318 1.711 2.064 2.492 2.797 24
1.316 1.708 2.060 2.485
2.787 25
2.779 26
1.315 1.706 2.056 2.479
1.314 1.703 2.052 2473 2.771 27
1.313 1.701 2.048 2.467 2.763 28
1.311 1.699 2.045 2.462 2.756 29
1.310 1.697 2.042 2.457 2.750 30
1.309 1.696 2.040 2.453
1.309
1.694 2.037
1.308 1.692 2.035
2.744 31
2.449 2.738 32
2.445
2.733 33
1.307 1.691
2.032
2.441
2.728 34
2.438 2.724 35
2.030
2.028
2.434 2.719 36
1.306 1.690
1.306 1.688
1.305 1.687
1.304 1.686
1.304 1.685
2.026 2.431 2.715 37
2.024 2.429 2.712 38
2.023 2.426 2.708 39
1.303
1.684 2.021 2.423 2.704 40
2.014 2,412 2.690 45
1.301 1.679
1.299 1.676
1.296 1.671
2.009 2.403 2.678 50
2.000 2.390 2.660 60
1.294 1.667 1.994 2.381 2.648 70
1.292 1.664 1.990 2.374 2.639 80
1.291
1.662 1.987 2.368 2.632 90
1,290 1.660 1.984 2.364 2.626 100
1.283 1.648
1.965
2.334 2.586 500
1.282 1.646 1.962 2.330 2.581 1000
1.282 1.645 1.960
2.326
2.576 30
0.80 0.90 0.95 0.98
0.99
d.f.
X
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