Suppose researchers perform a two-tailed study and the following results are obtained. α=0.05 t=2.44 df=40 Use the t-table to decide if there is a statistically significant difference between the data sets.
Suppose researchers perform a two-tailed study and the following results are obtained. α=0.05 t=2.44 df=40 Use the t-table to decide if there is a statistically significant difference between the data sets.
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
Suppose researchers perform a two-tailed study and the following results are obtained.
α=0.05
t=2.44
df=40
Use the t-table to decide if there is a statistically significant difference between the data sets.
Transcribed Image Text:t Table
cum. prob
one-tail
two-tails
df
1
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
40
60
80
100
1000
Z
1.50
0.50
1.00
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0%
¹.75
t.80
0.25
0.20
0.50
0.40
1.000
1.376
0.816
1.061
0.765
0.978
0.741
0.941
0.727
0.920
0.718
0.906
0.711
0.896
0.706
0.889
0.703
0.883
0.700
0.879
0.697
0.876
0.695 0.873
0.694
0.870
0.692
0.868
0.691
0.866
0.690
0.865
0.689
0.863
0.688
0.862
0.688
0.861
0.687
0.860
0.686
0.859
0.686
0.858
0.685
0.858
0.685
0.857
0.684
0.856
0.684
0.856
0.684
0.855
0.683
0.855
0.683
0.854
0.683
0.854
0.681
0.851
0.679
0.848
0.678
0.846
0.677
0.845
0.675
0.842
0.674
0.842
50%
60%
t.975
0.025
0.05
12.71
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
2.021
2.000
1.990
1.984
1.962
1.960
95%
.85
1.90
.95
0.15
0.10
0.05
0.30
0.20
0.10
1.963
3.078
6.314
1.386
1.886
2.920
1.250
1.638
2.353
1.190
1.533
2.132
1.156
1.476
2.015
1.134
1.440
1.943
1.119
1.415
1.895
1.108
1.397
1.860
1.100
1.383
1.833
1.093
1.372
1.812
1.088
1.363
1.796
1.083
1.356
1.782
1.079
1.350
1.771
1.076
1.345
1.761
1.074
1.341
1.753
1.071
1.337
1.746
1.069
1.333
1.740
1.067
1.330
1.734
1.066
1.328
1.729
1.064 1.325
1.725
1.063
1.323
1.721
1.061
1.321
1.717
1.060
1.319
1.714
1.059
1.318
1.711
1.058
1.316
1.708
1.058
1.315
1.706
1.057
1.314
1.703
1.056
1.313
1.701
1.055
1.311
1.699
1.055
1.310
1.697
1.050
1.303
1.684
1.045
1.296
1.671
1.043
1.292
1.664
1.042
1.290
1.660
1.037
1.282
1.646
1.036
1.282
1.645
70%
80%
90%
Confidence Level
t.99
0.01
0.02
31.82
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
2.423
2.390
2.374
2.364
2.330
2.326
98%
¹995
t 999
9995
0.005
0.001
0.0005
0.01 0.002 0.001
63.66
318.31
636.62
9.925 22.327
31.599
5.841
10.215
12.924
4.604
7.173
8.610
4.032
5.893
6.869
3.707
5.208
5.959
3.499
4.785
5.408
3.355
4.501
5.041
3.250
4.297
4.781
3.169
4.144
4.587
3.106
4.025
4.437
3.055
3.930
4.318
3.012
3.852
4.221
2.977
3.787
4.140
2.947
3.733
4.073
2.921
3.686
4.015
2.898
3.646
3.965
2.878
3.610
3.922
2.861
3.579
3.883
2.845
3.552
3.850
2.831
3.527
3.819
2.819
3.505
3.792
2.807
3.485
3.768
2.797
3.467
3.745
2.787
3.450
3.725
2.779
3.435
3.707
2.771
3.421
3.690
2.763
3.408
3.674
2.756
3.396
3.659
2.750
3.385
3.646
2.704
3.307
3.551
2.660
3.232
3.460
2.639
3.195
3.416
2.626
3.174
3.390
2.581
3.098
3.300
2.576
3.090
3.291
99% 99.8%
99.9%
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