What is true about a 95% confidence interval? There is a 95% chance that the interval contains the true parameter value. All 95% confidence intervals will contain the true parameter value. 95% of the confidence intervals constructed in this manner will contain the true paramet Every 95% confidence interval constructed for the same parameter will have the same v

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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TABLE A-3 Distribution: Critical Values
Degrees of
Freedom
6
7
15
9
19
11
2DHKD 9 2012425元
12
13
14
15
16
17
18
19
23
26
27
28
29
18-NS5942580298823327823
36
60
65
1000
2000
Large
0.005
0.01
63657
9,925
5.841
4.604
4.832
3.707
3499
1355
3.250
3169
3,106
3.055
1012
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
2.750
2.744
2.738
2.728
2.719
2.712
2,704
2.690
2.678
2.668
2.660
2.654
2.648
2643
2.639
2.632
2.626
2601
2.601
2.592
2.588
2.586
2.582
2.581
2.578
2.576
0.01
0.02
31.821
6.965
4541
3.747
3.365
3.143
2.998
2.8996
2.821
Arca in One Tail
0.025
Arca in Two Tails
0.05
2.764
2.718
2681
2.650
2624
2.402
2.583
2567
2.552
2.539
2.528
2.518
2.508
2.500
2.492
2.485
2.479
2473
2.467
2.462
2457
2453
2.449
2441
2.434
2.429
2.423
2412
2.403
2.396
2.390
2.385
2.381
2.377
2.374
2.368
2.364
2.345
2.339
2.336
12.706
4.303
3.182
2,776
2.334
2.331
2.330
2.328
2.326
2.571
2,447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
2.120
2.110
2.101
2.093
2.086
2.080
2.074
2.069
2.064
2.060
2.056
2.052
2.048
2.045
2.042
2.040
2.037
2.032
2.028
0.05
2.024
2.021
2.014
2.009
2.004
0.10
6.314
2.920
2353
2.132
2015
1943
1.125
1.860
1.833
1812
1.796
1,782
2.000
1.997
1.994
1.992
1.990
1.987
1.984
1.972
1.968
1.966
1.965
1.771
1.761
1.753
1.746
1.740
1.734
1.729
1.725
1721
1.717
1.963
1.962
1.961
1.960
1714
1.711
1.708
1.706
1.703
0,15
0.20
3.078
LAM
1.533
1476
1440
1.415
1.397
1.383
1.701
1.699
1.697
1.696
1.694
1.691
1.688
1.686
1.684
1.679
1.676
1.372
1.363
1356
1.350
1.345
1341
1.337
1.333
1.673
1.671
1.669
1.667
1.665
1.664
1.662
1.330
1.328
1.660
1.653
1.650
1.649
1.648
1.325
1.323
1.321
1.319
1.647
1.646
1.646
1.645
1.318
1.316
1.315
1.314
1.313
1.311
1.310
1.309
Critical value
(negative)
1.309
1.307
1.306
1.304
1.303
1.301
1.299
1.297
1.296
1.295
1.294
1.293
1.292
1.291
1.290
1.286
Left fall
1.284
1.284
1.283
1.283
1.282
1.282
1.282
a/2
Right tail
Critical value
(positive)
Two tails
Critical value
(negative)
a/2
Critical value
(positive)
Transcribed Image Text:TABLE A-3 Distribution: Critical Values Degrees of Freedom 6 7 15 9 19 11 2DHKD 9 2012425元 12 13 14 15 16 17 18 19 23 26 27 28 29 18-NS5942580298823327823 36 60 65 1000 2000 Large 0.005 0.01 63657 9,925 5.841 4.604 4.832 3.707 3499 1355 3.250 3169 3,106 3.055 1012 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 2.750 2.744 2.738 2.728 2.719 2.712 2,704 2.690 2.678 2.668 2.660 2.654 2.648 2643 2.639 2.632 2.626 2601 2.601 2.592 2.588 2.586 2.582 2.581 2.578 2.576 0.01 0.02 31.821 6.965 4541 3.747 3.365 3.143 2.998 2.8996 2.821 Arca in One Tail 0.025 Arca in Two Tails 0.05 2.764 2.718 2681 2.650 2624 2.402 2.583 2567 2.552 2.539 2.528 2.518 2.508 2.500 2.492 2.485 2.479 2473 2.467 2.462 2457 2453 2.449 2441 2.434 2.429 2.423 2412 2.403 2.396 2.390 2.385 2.381 2.377 2.374 2.368 2.364 2.345 2.339 2.336 12.706 4.303 3.182 2,776 2.334 2.331 2.330 2.328 2.326 2.571 2,447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.042 2.040 2.037 2.032 2.028 0.05 2.024 2.021 2.014 2.009 2.004 0.10 6.314 2.920 2353 2.132 2015 1943 1.125 1.860 1.833 1812 1.796 1,782 2.000 1.997 1.994 1.992 1.990 1.987 1.984 1.972 1.968 1.966 1.965 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1721 1.717 1.963 1.962 1.961 1.960 1714 1.711 1.708 1.706 1.703 0,15 0.20 3.078 LAM 1.533 1476 1440 1.415 1.397 1.383 1.701 1.699 1.697 1.696 1.694 1.691 1.688 1.686 1.684 1.679 1.676 1.372 1.363 1356 1.350 1.345 1341 1.337 1.333 1.673 1.671 1.669 1.667 1.665 1.664 1.662 1.330 1.328 1.660 1.653 1.650 1.649 1.648 1.325 1.323 1.321 1.319 1.647 1.646 1.646 1.645 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.309 Critical value (negative) 1.309 1.307 1.306 1.304 1.303 1.301 1.299 1.297 1.296 1.295 1.294 1.293 1.292 1.291 1.290 1.286 Left fall 1.284 1.284 1.283 1.283 1.282 1.282 1.282 a/2 Right tail Critical value (positive) Two tails Critical value (negative) a/2 Critical value (positive)
1
2
3
What is true about a 95% confidence interval?
There is a 95% chance that the interval contains the true parameter value.
All 95% confidence intervals will contain the true parameter value.
95% of the confidence intervals constructed in this manner will contain the true parameter value
Every 95% confidence interval constructed for the same parameter will have the same values.
00 0000
If the p-value for our test is 0.0231 and a = 0.05, what is our decision?
Fail to reject HA
Reject Ho
Fail to reject Ho
Reject HA
Power is 1- the probability of a Type II error.
True
False
Transcribed Image Text:1 2 3 What is true about a 95% confidence interval? There is a 95% chance that the interval contains the true parameter value. All 95% confidence intervals will contain the true parameter value. 95% of the confidence intervals constructed in this manner will contain the true parameter value Every 95% confidence interval constructed for the same parameter will have the same values. 00 0000 If the p-value for our test is 0.0231 and a = 0.05, what is our decision? Fail to reject HA Reject Ho Fail to reject Ho Reject HA Power is 1- the probability of a Type II error. True False
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