2.030) = _____________, that is the area under the ? density curve to the right of 2.030.   (b)P(t ≤ − 2.030) = _____________, that is the area under the ? density curve to the left of -2.030.  (c)P(t ≥ 2.6) = _____________, that is the area under the ? density curve to the right of 2.6.

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
  1. Given that ? = 36, use the t-score Table (Table IV, you can find a copy online or in the Blackboard course) to find

(a)P(t ≥ 2.030) = _____________, that is the area under the ? density curve to the right of 2.030.  

(b)P(t ≤ − 2.030) = _____________, that is the area under the ? density curve to the left of -2.030.

 (c)P(t ≥ 2.6) = _____________, that is the area under the ? density curve to the right of 2.6.

1. Given that n = 36, use the t-score Table (Table IV, you can find a copy online or in the Blackboard
course) to find
(a)P(t 2 2.030) =
,that is the area under the t density curve to the right of 2.030.
%3!
(b)P(ts- 2.030) =
, that is the area under the t density curve to the left of -2.030.
(c)P(t 2 2.6) =
that is the area under the t density curve to the right of 2.6.
Transcribed Image Text:1. Given that n = 36, use the t-score Table (Table IV, you can find a copy online or in the Blackboard course) to find (a)P(t 2 2.030) = ,that is the area under the t density curve to the right of 2.030. %3! (b)P(ts- 2.030) = , that is the area under the t density curve to the left of -2.030. (c)P(t 2 2.6) = that is the area under the t density curve to the right of 2.6.
TABLE IV (cont.)
Values of t
df
too
toos
fosas
focos
df
Values of t
df
fano
faos
tacos
teon
faos
df
3.078
1886
63.657
9.925
5.841
6.314
12.706
1
50
31.821
6.965
50
1.299
1.676
2.009
2403 2.678
2.920
4.303
3.182
2.776
51
1.298
1.675
2.008
2402
2.676
51
168
1.533
2.31
4541
52
53
1.298
1.298
1.675
1.674
2.007
2.006
2.400
2.399
2.674
52
53
2.132
3.747
4.604
2.672
1.476
1.440
1.415
2.015
1.943
2.571
2447
2365
2.306
3.365
3.143
2.998
2.896
4.032
3.707
3.499
54
1.297
1674
2.005
2.397
2.670
54
55
56
1.895
1.297
1.297
1.297
1.296
1.673
1.673
1.672
1.672
2.004
2.003
2.002
2.002
2396
2.668
55
1.397
1.383
1.860
1813
3.355
3.250
2.395 2.667
56
2.262
2821
57
58
2.394
2.665
2392 2.663
57
58
10
1
12
1.372
1.363
1.356
1.812
1.796
2228
2201
2.179
2.764
2718
3.169
3.106
3.055
10
I1
12
59
1.296
1.671
2.001
2.391
2.662
59
1.782
1.771
1.761
2.681
2650
2624
60
1.296
1.671
2.000
2.390
2.660
2.389 2.659
2.388 2.657
2387
60
13
14
1.350
1.345
2.160
2145
3.012
2.977
13
61
1.296
1.670
2.000
61
14
62
62
1.295
1.295
1.295
1.670
1669
1.999
1.998
15
16
17
1.753
1.746
2602
2.583
2567
2552
2539
2.947
2.921
15
16
17
63
2.656
63
1.341
1.337
2.131
2.120
64
1.669
1.998
2386
2.655
64
1.333
1.330
1.328
1.740
2.110
1.295
1.295
2.898
2.878
2.861
65
1669
1.997
2.385 2.654
65
18
19
1.734
1.729
2.101
2.03
18
19
66
1.668
1.997
2.384 2.652
66
67
68
1.294
1668
1.668
1.996
1.995
1.995
2.383
2.382
2.382
2.651
2.650
67
68
1.725
1.721
20
21
20
1.325
2.086
2.528
2.845
1.294
21
1.323
2.080
2518
2.831
69
1.294
1667
2.649
69
22
23
24
1.321
1319
1.318
1.717
1.714
1.711
2.074
2.069
2.064
2.508
2500
2492
2.819
2.807
2797
22
23
70
1.294 1.667
1.294
1.293
2381
2.648
2.647
2.646
1.994
70
71
1.667
2.380
71
1.994
1.993
72
1.666
2379
72
25
1.316
1.708
2.060
2.056
2485
2.787
2.779
25
26
73
1.293
1.666
1.993
2379
2.645
73
26
1315
1.706
2479
74
1.293
1.666
1.993
2.378
2.644
74
27
28
29
1.314
1.313
1.311
1.700
1.701
1.699
2.052
2048
2045
2473
2467
2462
2.771
2.763
2.756
27
28
29
75
1.293
1.665
1.992
2.377
2374
2.371
2.643
75
80
80
1.292
1.292
1.664
1.663
1.990
1.988
1.987
1.985
2.639
2.635
2.632
2629
85
90
85
30
1310
1.697
2042
2457
2453
2.750
2.744
30
1.291
1.291
1.662
1.661
2368
2366
90
95
31
1.309
1.696
2.040
31
95
32
33
34
1.309
1.308
1.307
1.694
1.692
1691
2.037
2.005
2.002
2449
2445
2441
2.738
2.733
2.728
32
33
100
1.290
1.660
1.984
2364 2.626
2.601
2.592
100
200
300
1.286
1.284
1.653
1650
1.972
1.968
2345
2.339
200
300
35
1.306
1.306
1.305
1.304
1.304
1690
2.030
2.028
2438
2434
2431
2429
2426
2.724
2.719
35
400
1.284
1.649
1.966
2.336
2.588
400
36
1.688
1.965
2334
500
37
38
39
1.687
2.026
2.024
2023
2.715
2.712
2.708
500
1.283
1.648
2.586
38
39
1.686
600
700
1.283
1.647
2333
2332
2331
2.584
600
1.964
1.963
1.963
1.685
1.283
1.283
1.282
1.647
2.583
700
800
1.684
2.5
2330 2.581
40
1.300
2.021
2.020
2.018
2017
2015
2423
2421
2418
2.704
2.701
2.698
2.695
2.692
800
40
1647
1,647
41
1.303
1.683
41
900
1.963
900
42
1.302
1682
42
43
44
1000
1.282
1.646
1.646
1.962
1.961
2.330
2.581
2.578
1000
2000
43
1.302
1.301
1.681
1.680
2416
2000
1.282
2.328
44
2414
2412
45
46
47
1.301
1.300
1.300
1.679
1.679
2014
2.013
2.012
2.690
2687
45
46
47
1.282
1645
1.960
2326
2.576
1.678
1.677
1.677
2410
2.408
2.407
2405
2.685
Zano
Zeas
Zoos
Zaos
48
1.299
2.011
2010
2.682
2.680
48
49
1.299
49
Transcribed Image Text:TABLE IV (cont.) Values of t df too toos fosas focos df Values of t df fano faos tacos teon faos df 3.078 1886 63.657 9.925 5.841 6.314 12.706 1 50 31.821 6.965 50 1.299 1.676 2.009 2403 2.678 2.920 4.303 3.182 2.776 51 1.298 1.675 2.008 2402 2.676 51 168 1.533 2.31 4541 52 53 1.298 1.298 1.675 1.674 2.007 2.006 2.400 2.399 2.674 52 53 2.132 3.747 4.604 2.672 1.476 1.440 1.415 2.015 1.943 2.571 2447 2365 2.306 3.365 3.143 2.998 2.896 4.032 3.707 3.499 54 1.297 1674 2.005 2.397 2.670 54 55 56 1.895 1.297 1.297 1.297 1.296 1.673 1.673 1.672 1.672 2.004 2.003 2.002 2.002 2396 2.668 55 1.397 1.383 1.860 1813 3.355 3.250 2.395 2.667 56 2.262 2821 57 58 2.394 2.665 2392 2.663 57 58 10 1 12 1.372 1.363 1.356 1.812 1.796 2228 2201 2.179 2.764 2718 3.169 3.106 3.055 10 I1 12 59 1.296 1.671 2.001 2.391 2.662 59 1.782 1.771 1.761 2.681 2650 2624 60 1.296 1.671 2.000 2.390 2.660 2.389 2.659 2.388 2.657 2387 60 13 14 1.350 1.345 2.160 2145 3.012 2.977 13 61 1.296 1.670 2.000 61 14 62 62 1.295 1.295 1.295 1.670 1669 1.999 1.998 15 16 17 1.753 1.746 2602 2.583 2567 2552 2539 2.947 2.921 15 16 17 63 2.656 63 1.341 1.337 2.131 2.120 64 1.669 1.998 2386 2.655 64 1.333 1.330 1.328 1.740 2.110 1.295 1.295 2.898 2.878 2.861 65 1669 1.997 2.385 2.654 65 18 19 1.734 1.729 2.101 2.03 18 19 66 1.668 1.997 2.384 2.652 66 67 68 1.294 1668 1.668 1.996 1.995 1.995 2.383 2.382 2.382 2.651 2.650 67 68 1.725 1.721 20 21 20 1.325 2.086 2.528 2.845 1.294 21 1.323 2.080 2518 2.831 69 1.294 1667 2.649 69 22 23 24 1.321 1319 1.318 1.717 1.714 1.711 2.074 2.069 2.064 2.508 2500 2492 2.819 2.807 2797 22 23 70 1.294 1.667 1.294 1.293 2381 2.648 2.647 2.646 1.994 70 71 1.667 2.380 71 1.994 1.993 72 1.666 2379 72 25 1.316 1.708 2.060 2.056 2485 2.787 2.779 25 26 73 1.293 1.666 1.993 2379 2.645 73 26 1315 1.706 2479 74 1.293 1.666 1.993 2.378 2.644 74 27 28 29 1.314 1.313 1.311 1.700 1.701 1.699 2.052 2048 2045 2473 2467 2462 2.771 2.763 2.756 27 28 29 75 1.293 1.665 1.992 2.377 2374 2.371 2.643 75 80 80 1.292 1.292 1.664 1.663 1.990 1.988 1.987 1.985 2.639 2.635 2.632 2629 85 90 85 30 1310 1.697 2042 2457 2453 2.750 2.744 30 1.291 1.291 1.662 1.661 2368 2366 90 95 31 1.309 1.696 2.040 31 95 32 33 34 1.309 1.308 1.307 1.694 1.692 1691 2.037 2.005 2.002 2449 2445 2441 2.738 2.733 2.728 32 33 100 1.290 1.660 1.984 2364 2.626 2.601 2.592 100 200 300 1.286 1.284 1.653 1650 1.972 1.968 2345 2.339 200 300 35 1.306 1.306 1.305 1.304 1.304 1690 2.030 2.028 2438 2434 2431 2429 2426 2.724 2.719 35 400 1.284 1.649 1.966 2.336 2.588 400 36 1.688 1.965 2334 500 37 38 39 1.687 2.026 2.024 2023 2.715 2.712 2.708 500 1.283 1.648 2.586 38 39 1.686 600 700 1.283 1.647 2333 2332 2331 2.584 600 1.964 1.963 1.963 1.685 1.283 1.283 1.282 1.647 2.583 700 800 1.684 2.5 2330 2.581 40 1.300 2.021 2.020 2.018 2017 2015 2423 2421 2418 2.704 2.701 2.698 2.695 2.692 800 40 1647 1,647 41 1.303 1.683 41 900 1.963 900 42 1.302 1682 42 43 44 1000 1.282 1.646 1.646 1.962 1.961 2.330 2.581 2.578 1000 2000 43 1.302 1.301 1.681 1.680 2416 2000 1.282 2.328 44 2414 2412 45 46 47 1.301 1.300 1.300 1.679 1.679 2014 2.013 2.012 2.690 2687 45 46 47 1.282 1645 1.960 2326 2.576 1.678 1.677 1.677 2410 2.408 2.407 2405 2.685 Zano Zeas Zoos Zaos 48 1.299 2.011 2010 2.682 2.680 48 49 1.299 49
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