A medical trial is conducted to test whether or not a certain drug can treat a certain allergy. Upon trial, the t-value is computed as 1.311. Sketch and complete the table below to discuss the findings of the medical trial. -1 as o as 1 15 2 25 3 -3 -2.5 -2 -1.5 Ho: The computed Decision: t-value is at the Ha: region. Justify your decision by writing an explanation in 5-10 sentences.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter28: Degree Of Precision, Greatest Possible Error, Absolute Error, And Relative Error
Section: Chapter Questions
Problem 52A
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Question
A medical trial is conducted to test whether or not a certain drug can treat a
certain allergy. Upon trial, the t-value is computed as 1.311. Sketch and
complete the table below to discuss the findings of the medical trial.
-3
-2.5
-2
-1.5
-1
-0.5
0.5
1
15 2
2.5
The computed Decision:
t-value is at the
H.:
Ha:
region.
Justify your decision by writing an explanation in 5-10 sentences.
Transcribed Image Text:A medical trial is conducted to test whether or not a certain drug can treat a certain allergy. Upon trial, the t-value is computed as 1.311. Sketch and complete the table below to discuss the findings of the medical trial. -3 -2.5 -2 -1.5 -1 -0.5 0.5 1 15 2 2.5 The computed Decision: t-value is at the H.: Ha: region. Justify your decision by writing an explanation in 5-10 sentences.
The t-distribution Table
one-tail
0.50
0.25 0.20
0.15
0.10
0.05
0.025
0.01
0.005
0.001 0.0005
two-tails
1.00
0.50
0.40 0.30
0.20
0.10
0.05
0.02
0.01
0.002 0.001
df
6.314
2.920
2.353
2.132
31.82
6.965
4.541
3.747
3.365
0.000
1.000
1.376
1.963
1.386
3.078
12.71
63.66
318.31
9.925 22.327
636.62
0.000
3
0.816
1.061
1.886
1.638
1.533
4.303
31.599
0.000
0.765 0.978
1.250
3.182
5.841
10.215 12.924
0.000
0.741
0.727
0.941
1.190
2.776
2.571
4.604
4.032
3.707
3.499
7.173
5.893
8.610
6.869
5.959
4
0.000
1.156
5
0.000
0.000
0.920
1.476
2.015
0.718
0.906
1134
1.440
1.943
2.447
3.143
5.208
2.998
2.896
2.821
0.711
1.119
1.895
1.860
0.896
1.415
2.365
4.785
5.408
8
9
0.000
0.706
0.889
1.108
1.397
2.306
3.355
4.501
5.041
0.000
2.262
0.703
0.700
0.697
0.883
0.879
0.876
0.873
1.383
1.372
1.363
1.356
1.833
3.250
3.169
3.106
3.055
1.100
4.297
4.781
10
0.000
1.093
1.088
1.812
2.228
2.764
4.144
4.587
1.796
2.201
2.718
2.681
11
0.000
4.025
4.437
12
13
14
15
16
17
18
0.000
0.000
0.695
2.179
3.930
1.083
1.079
1.782
4.318
0.000
0.694
0.870
1.350
1.771
2.160
2.650
3.012
2.977
3.852
4.221
1.345
1.341
1.337
1.761
1.753
1.746
0.000
0.692
0.868
1.076
2.145
2.624
3.787
4.140
2.131
2.120
2.110
2.101
2.093
0.000
0.691
0.866
1.074
2.602
2.947
3.733
4.073
4.015
0.000
0.690
0.865
1.071
2.583
2.921
3.686
3.646
3.610
0.000
0.689
0.863
1.069
1.333
1.740
2.567
2.898
3.965
0.000
0.688
0.862
1.067
1.330
1.734
2.552
2.878
3.922
19
0.000
0.688
0.861
1.066
1.328
1.729
2.539
2.861
3.579
3.883
3.850
20
21
0.000
0.687
0.860
1.064
1.325
1.725
2.086
2.528
2.845
3.552
0.000
0.686
0.859
1.063
1.323
1.721
2.080
2.518
2.831
3.527
3.819
22
23
24
25
26
0.686
0.858
1.061
1.321
2.819
1.717
1.714
2.074
2.508
3.505
3.485
3.792
0.858
1.060
1.319
2.807
3.768
3.745
3.725
0.000
0.685
2.069
2.500
0.000
0.857
0.856
0.685
1.059
1.318
1.711
2.064
2.492
2.797
3.467
0.000
0.684
1.058
1.316
1.708
2.060
2.485
2.787
3.450
3.435
3.421
3.707
3.690
3.674
0.000
0.684
0.856
1.058
1.315
1.706
2.056
2.479
2.779
27
0.000
0.684
2.473
0.855
0.855
1.057
1.314
1.703
2.052
2.771
28
0.000
0.000
0.683
1.056
1.313
1.701
2.048
2.467
2.763
3.408
29
30
40
60
80
100
1000
0.683
0.854
1.055
1.311
1.699
2.045
2.462
2.756
3.396
3.659
3.385
3.307
0.000
0.683
0.854
1.055
1.310
1.697
2.042
2.457
2.750
3.646
0.000
0.681
0.851
1.050
1.303
1.684
2.021
2.423
2.704
3.551
0.000
0.679
0.848
1.045
1.296
1.671
2.000
2.390
2.660
3.232
3.460
0.000
0.678
0.846
1.043
1.292
1.664
1.990
2.374
2.639
3.195
3.416
0.000
0.677
0.845
1.042
1.290
1.660
1.984
2.364
2.626
3.174
3.390
0.000
0.675
0.842
1.037
1.282
1.646
1.962
2.330
2.581
3.098
3.300
0.000
0.674
0.842
1.036
1.282
1.645
1.960
2.326
2.576
3.090
3.291
50%
60%
70%
90%
95%
Confidence Level
0%
80%
98%
99% 99.8% 99.9%
Transcribed Image Text:The t-distribution Table one-tail 0.50 0.25 0.20 0.15 0.10 0.05 0.025 0.01 0.005 0.001 0.0005 two-tails 1.00 0.50 0.40 0.30 0.20 0.10 0.05 0.02 0.01 0.002 0.001 df 6.314 2.920 2.353 2.132 31.82 6.965 4.541 3.747 3.365 0.000 1.000 1.376 1.963 1.386 3.078 12.71 63.66 318.31 9.925 22.327 636.62 0.000 3 0.816 1.061 1.886 1.638 1.533 4.303 31.599 0.000 0.765 0.978 1.250 3.182 5.841 10.215 12.924 0.000 0.741 0.727 0.941 1.190 2.776 2.571 4.604 4.032 3.707 3.499 7.173 5.893 8.610 6.869 5.959 4 0.000 1.156 5 0.000 0.000 0.920 1.476 2.015 0.718 0.906 1134 1.440 1.943 2.447 3.143 5.208 2.998 2.896 2.821 0.711 1.119 1.895 1.860 0.896 1.415 2.365 4.785 5.408 8 9 0.000 0.706 0.889 1.108 1.397 2.306 3.355 4.501 5.041 0.000 2.262 0.703 0.700 0.697 0.883 0.879 0.876 0.873 1.383 1.372 1.363 1.356 1.833 3.250 3.169 3.106 3.055 1.100 4.297 4.781 10 0.000 1.093 1.088 1.812 2.228 2.764 4.144 4.587 1.796 2.201 2.718 2.681 11 0.000 4.025 4.437 12 13 14 15 16 17 18 0.000 0.000 0.695 2.179 3.930 1.083 1.079 1.782 4.318 0.000 0.694 0.870 1.350 1.771 2.160 2.650 3.012 2.977 3.852 4.221 1.345 1.341 1.337 1.761 1.753 1.746 0.000 0.692 0.868 1.076 2.145 2.624 3.787 4.140 2.131 2.120 2.110 2.101 2.093 0.000 0.691 0.866 1.074 2.602 2.947 3.733 4.073 4.015 0.000 0.690 0.865 1.071 2.583 2.921 3.686 3.646 3.610 0.000 0.689 0.863 1.069 1.333 1.740 2.567 2.898 3.965 0.000 0.688 0.862 1.067 1.330 1.734 2.552 2.878 3.922 19 0.000 0.688 0.861 1.066 1.328 1.729 2.539 2.861 3.579 3.883 3.850 20 21 0.000 0.687 0.860 1.064 1.325 1.725 2.086 2.528 2.845 3.552 0.000 0.686 0.859 1.063 1.323 1.721 2.080 2.518 2.831 3.527 3.819 22 23 24 25 26 0.686 0.858 1.061 1.321 2.819 1.717 1.714 2.074 2.508 3.505 3.485 3.792 0.858 1.060 1.319 2.807 3.768 3.745 3.725 0.000 0.685 2.069 2.500 0.000 0.857 0.856 0.685 1.059 1.318 1.711 2.064 2.492 2.797 3.467 0.000 0.684 1.058 1.316 1.708 2.060 2.485 2.787 3.450 3.435 3.421 3.707 3.690 3.674 0.000 0.684 0.856 1.058 1.315 1.706 2.056 2.479 2.779 27 0.000 0.684 2.473 0.855 0.855 1.057 1.314 1.703 2.052 2.771 28 0.000 0.000 0.683 1.056 1.313 1.701 2.048 2.467 2.763 3.408 29 30 40 60 80 100 1000 0.683 0.854 1.055 1.311 1.699 2.045 2.462 2.756 3.396 3.659 3.385 3.307 0.000 0.683 0.854 1.055 1.310 1.697 2.042 2.457 2.750 3.646 0.000 0.681 0.851 1.050 1.303 1.684 2.021 2.423 2.704 3.551 0.000 0.679 0.848 1.045 1.296 1.671 2.000 2.390 2.660 3.232 3.460 0.000 0.678 0.846 1.043 1.292 1.664 1.990 2.374 2.639 3.195 3.416 0.000 0.677 0.845 1.042 1.290 1.660 1.984 2.364 2.626 3.174 3.390 0.000 0.675 0.842 1.037 1.282 1.646 1.962 2.330 2.581 3.098 3.300 0.000 0.674 0.842 1.036 1.282 1.645 1.960 2.326 2.576 3.090 3.291 50% 60% 70% 90% 95% Confidence Level 0% 80% 98% 99% 99.8% 99.9%
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