wwing claim, find the critical value. Assume that a simple random sample has been selected from mean IQ score of statistics professors is greater than 130 a: n=28, x= 131, s= 8. The significance level is a = 0.01. he icon to view a table of critical t-values. ritical value using a t-distribution table. 771 473 763 .467 t-table t distribution: Cr Degrees of Freedom 57949SAWN1 2 3 6 10

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
For the following claim, find the critical value. Assume that a simple random sample has been selected from a normally distributed population.
Claim: The mean IQ score of statistics professors is greater than 130
Sample data: n=28, x= 131, s = 8. The significance level is a = 0.01.
Click the icon to view a table of critical t-values.
Find the critical value using a t-distribution table.
OA. 2.771
OB. 2.473
OC. 2.763
OD. 2.467
t-table
t distribution: Critical t values
Degrees of
Freedom
1
23455
2
3
6
7
8
9
10
5.841
4.604
5 4.032
3.707
3.499
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
1268885MINHAS
27
29
30
31
32
33
34
35
36
37
0.005
38
0.01
63.657
9.925
3.355
3.250
3.169
3.106
3.055
3.012
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
2.733
2.728
2.724
2.719
2.715
2.712
2709
0.01
0.02
31.821
6.965
4.541
3.747
3.365
3.143
2.998
2.896
2.821
2.764
2.718
2.681
2.650
2.624
2.602
2.583
2.567
2.552
2.539
2.528
2.518
2.508
2.500
2.492
2.485
2.479
2.473
2.467
2.462
2.457
2.453
2.449
2.445
2.441
2.438
2.434
2.431
2.429
198
Print
Area in One Tail
0.025
Area in Two Tails
0.05
12.706
4.303
3.182
2.776
2.571
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
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
2.035
2.032
2.030
2.028
2.026
2.024
2017
Done
0.05
0.10
6.314
2.920
2.353
2.132
2.015
1.943
1.895
1.860
1.833
1.812
1.796
1.782
1.771
1.761
1.753
1.746
1.740
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
1.690
1.688
1.687
1.686
1605
0.10
0.20
3.078
1.886
1.638
1.533
1.476
1.440
1.415
1.397
1.383
1.372
1.363
1.356
1.350
1.345
1.341
1.337
1.333
1.330
1.328
1.325
1.323
1.321
1.319
1.318
1.316
1.315
1.314
1.313
1.311
1.310
1.309
1.309
1.308
1.307
1.306
1.306
1.305
1.304
1704
Transcribed Image Text:For the following claim, find the critical value. Assume that a simple random sample has been selected from a normally distributed population. Claim: The mean IQ score of statistics professors is greater than 130 Sample data: n=28, x= 131, s = 8. The significance level is a = 0.01. Click the icon to view a table of critical t-values. Find the critical value using a t-distribution table. OA. 2.771 OB. 2.473 OC. 2.763 OD. 2.467 t-table t distribution: Critical t values Degrees of Freedom 1 23455 2 3 6 7 8 9 10 5.841 4.604 5 4.032 3.707 3.499 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1268885MINHAS 27 29 30 31 32 33 34 35 36 37 0.005 38 0.01 63.657 9.925 3.355 3.250 3.169 3.106 3.055 3.012 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 2.733 2.728 2.724 2.719 2.715 2.712 2709 0.01 0.02 31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.453 2.449 2.445 2.441 2.438 2.434 2.431 2.429 198 Print Area in One Tail 0.025 Area in Two Tails 0.05 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 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 2.035 2.032 2.030 2.028 2.026 2.024 2017 Done 0.05 0.10 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.740 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 1.690 1.688 1.687 1.686 1605 0.10 0.20 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.309 1.309 1.308 1.307 1.306 1.306 1.305 1.304 1704
x=0.01.
t-table
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
3
40
45
50
60
70
80
90
100
200
300
400
500
1000
2000
Large
Degrees of
Freedom
3.012
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
2.733
2.728
2.724
2.719
2.715
2.712
2.708
2.704
2.690
2.678
2.660
2.648
2.639
2.632
2.626
2.601
2.592
2.588
2.586
2.581
2.578
2.576
0.005
0.01
2.650 2.160
2.624
2.145
2.602
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
2.035
2.032
2.583
2.567
2.552
2.539
2.528
2.518
2.508
2.500
2.492
2.485
2.479
2.473
2.467
2.462
2.457
2.453
2.449
2.445
2.441
2.438
2.434
2.431
2,429
2.426
2.423
2.412
2.403
2.390
2.381
2.374
2.368
2.364
2.345
2.339
2.336
2.334
2.330
2.328
2.326
0.01
0.02
2.030
2.028
2.026
2.024
2.023
2.021
2.014
2.009
2.000
1.994
1.990
1.987
1.984
1.972
1.968
1.966
1.965
1.962
1.961
1.960
Area in One Tail
0.025
Area in Two Tails
0.05
1.771
1.761
1.753
1.746
1.740.
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
1.690
1.688
1.687
1.686
1.685
1.684
1.679
1.676
1.671
1.667
1.664
1.662
1.660
1.653
1.650
1.649
1.648
1.646
1.646
1.645
0.05
0.10
1.350
1.345
1.341
1.337
1.333
1.330
1.328
1.325
1.323
1.321
1.319
1.318
1.316
1.315
1.314
1.313
1.311
1.310
1.309
1.309
1308
1.307
1.306
1.306
1.305
1.304
1.304
1303
1.301
1.299
1.296
1.294
1.292
1.291
1.290
1.286
1.284
1.284
1.283
1.282
1.282
1.282
0.10
0.20
K
Transcribed Image Text:x=0.01. t-table 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 3 40 45 50 60 70 80 90 100 200 300 400 500 1000 2000 Large Degrees of Freedom 3.012 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 2.733 2.728 2.724 2.719 2.715 2.712 2.708 2.704 2.690 2.678 2.660 2.648 2.639 2.632 2.626 2.601 2.592 2.588 2.586 2.581 2.578 2.576 0.005 0.01 2.650 2.160 2.624 2.145 2.602 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 2.035 2.032 2.583 2.567 2.552 2.539 2.528 2.518 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.453 2.449 2.445 2.441 2.438 2.434 2.431 2,429 2.426 2.423 2.412 2.403 2.390 2.381 2.374 2.368 2.364 2.345 2.339 2.336 2.334 2.330 2.328 2.326 0.01 0.02 2.030 2.028 2.026 2.024 2.023 2.021 2.014 2.009 2.000 1.994 1.990 1.987 1.984 1.972 1.968 1.966 1.965 1.962 1.961 1.960 Area in One Tail 0.025 Area in Two Tails 0.05 1.771 1.761 1.753 1.746 1.740. 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 1.690 1.688 1.687 1.686 1.685 1.684 1.679 1.676 1.671 1.667 1.664 1.662 1.660 1.653 1.650 1.649 1.648 1.646 1.646 1.645 0.05 0.10 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.309 1.309 1308 1.307 1.306 1.306 1.305 1.304 1.304 1303 1.301 1.299 1.296 1.294 1.292 1.291 1.290 1.286 1.284 1.284 1.283 1.282 1.282 1.282 0.10 0.20 K
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