Regarding question 8.) Please let me know why critical point at 95% confidence of t-statistic of df (n1+n2-2) = 32 is 2.034, not +/- 2.73 which is from T-value table.
Regarding question 8.) Please let me know why critical point at 95% confidence of t-statistic of df (n1+n2-2) = 32 is 2.034, not +/- 2.73 which is from T-value table.
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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Regarding question 8.)
Please let me know why critical point at 95% confidence of t-statistic of df (n1+n2-2) = 32 is 2.034, not +/- 2.73 which is from T-value table.
Transcribed Image Text:1Use an independent-measures t test with a = .01
to determine whether there is a significant difference
between the two types of high school student.
8. It appears that there is some truth to the old adage
"That which doesn't kill us makes us stronger."
Seery, Holman, and Silver (2010) found that indi-
viduals with some history of adversity report better
mental health and higher well-being compared to
people with little or no history of adversity. In an
attempt to examine this phenomenon, a researcher
surveys a group of college students to determine the
negative life events that they experienced in the past
5 years and their current feeling of well-being. For
n 18 participants with 2 or fewer negative experi-
ences, the average well-being score is M = 42
with SS 398, and for n = 16 participants with
5 to 10 negative experiences the average score is
M 48.6 with SS = 370.
a. Is there a significant difference between the two
populations represented by these two samples? Use
a two-tailed test with a = .01.
%3D
Transcribed Image Text:I Table
cum. prob
t 50
0.50
1.00
one-tail
t75
t 80
tas
t 90
t95
t 375
0.025
t 99
0.01
0.25
t 995
0.005
t 9995
0.001 0.0005
0.001
0.20
0.15
0.10
0.05
two-tails
0.50
0.40
0.30
0.20
0.10.
df
0.05
0.02
0.01
0.002
1
0.000
0.000
0.000
1.000
1.376
1.963
3.078
1.886
1.638
2
6.314
12.71
31.82
6.965
4.541
3.747
63.66
636.62
318.31
22.327
0.816
1.061
1.386
2.920
2.353
2.132
4.303
3.182
2.776
2.571
2.447
2.365
2.306
2.262
31.599
12.924
8.610
6.869
5.959
5.408
5.041
4.781
3
0.765
9.925
0.978
0.941
1.250
1.190
4
0,000
5.841
10.215
0.741
0.727
0.718
0.711
1.533
4.604
7.173
5.893
5.208
4.785
4.501
5
0.000
0.000
0.920
0.906
1.156
1.134
1.119
1.476
1.440
2.015
1.943
1.895
3.365
3.143
2.998
6.
4.032
3.707
3.499
3.355
3.250
0.000
0.896
1.415
8
0.000
0.706
0.889
0.883
0.879
0.876
1.108
1.100
1.093
1.397
1.383
1.860
1.833
2.896
2.821
9.
0.000
0.703
4.297
10
0.000
0.700
4.587
4.437
4.318
1.372
1.812
1.796
1.782
3.169
3.106
3.055
3.012
2.228
2.201
2.179
2.160
2.145
2.131
2.764
2.718
2.681
2.650
2.624
2.602
2.583
2.567
2.552
2.539
2.528
4.144
11
0.000
0.697
1.088
1.363
12
4.025
3.930
0.000
0.695
0.873
1.083
1.356
13
0.000
0.000
0.000
0.694
0.870
1.079
3.852
3.787
3.733
3.686
3.646
3.610
3.579
4.221
4.140
4.07
1.350
14
15
16
1.771
1.761
1.753
1.746
1.740
0.692
0.868
1.076
1.074
1.345
2.977
0.691
0.866
0.865
0.863
1.341
2.947
0.690
0.689
0.000
1.071
1.337
2.120
2.921
4.01
17
18
0.000
3.96
1.069
1.067
1.066
1.064
1.333
2.110
2.898
0.000
0.000
2.878
2.861
2.845
3.9
3.8
3.8
0.688
1.734
1.729
2.101
2.093
0,862
1.330
1.328
1.325
19
0.688
0.861
3.552
3.527
20
0.000
0.687
0.860
1.725
2.086
2.831
2.819
2.518
3.
1.063
1.061
1.060
1.059
1.058
2.080
2.074
2.069
1.323
1.321
21
0.000
0.686
0.859
1.721
2.508
2.500
3.505
3.
1.717
1.714
22
0.000
0.686
0.858
3.485
3.467
23
0.000
0.685
0.858
1.319
2.807
3.
2.492
2.797
24
25
26
1.711
2.064
2.060
2.056
2.052
2.048
1.318
1.316
0.000
0.685
0.857
2.787
2.779
0.000
0.684
0.856
1.708
2.485
3.450
3.435
2.479
2.473
2.467
1.706
1.703
1.701
1.699
1.697
1.684
1.058
1.315
0.684
0.684
0.000
0.856
0.000
0.855
1.057
1.314
2.771
3.421
27
28
29
30
40
60
80
2.763
2.756
1.056
1.313
3.408
0.855
0.854
0.000
0.683
2.045
2.042
2.021
2.462
2.457
2.423
1.055
1.311
3.396
0.000
0.000
0.683
3.385
3.307
1.055
1.310
2.750
0.854
0.851
0.683
1.050
1.303
2.704
0.000
0.000
0.681
3.232
2.000
1.990
2.660
2.639
2.390
1.296
1.292
1.045
1.671
0.848
0.846
0.679
1.043
1.664
2.374
3.195
0.000
0.678
2.364
3.174
1.660
1.646
1.984
1.962
2.626
2.581
1.042
1.290
0.000
0.000
100
0.677
0.845
1000
1.037
1.282
2.330
3.098
0.675
0.842
0.000
0.674
0.842
1.036
1.282
1.645
1.960
2.326
2.576
3.090
70%
95%
98%
99% 99.8%
80%
Confidence Level
0%
50%
60%
90%
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