Dependent Sample t-Test Activity 1. You want to test a new therapy for globophobia (fear of balloons in general... this is different than phonophobia, which is the fear of the sound produced when popping balloons). You select five people and test their responses to a picture of balloons. Based on heart rate you develop a globophobia score that ranges from O (no fear) to 20 (terror). Following therapy, you get a second measure. NOTE: This is actually too small an n for a real study. Here are your data….. ID Before After Diff Diff-M (Diff-M)² Therapy Therapy Score 11 8. 16 11 20 15 ST 17 11 10 11
Dependent Sample t-Test Activity 1. You want to test a new therapy for globophobia (fear of balloons in general... this is different than phonophobia, which is the fear of the sound produced when popping balloons). You select five people and test their responses to a picture of balloons. Based on heart rate you develop a globophobia score that ranges from O (no fear) to 20 (terror). Following therapy, you get a second measure. NOTE: This is actually too small an n for a real study. Here are your data….. ID Before After Diff Diff-M (Diff-M)² Therapy Therapy Score 11 8. 16 11 20 15 ST 17 11 10 11
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Computation of T-Test
![Dependent Sample t-Test Activity
1. You want to test a new therapy for globophobia (fear of balloons
in general... this is different than phonophobia, which is the fear
of the sound produced when popping balloons).
You select five people and test their responses to a picture of balloons.
Based on heart rate you develop a globophobia score that ranges from
O (no fear) to 20 (terror). Following therapy, you get a second measure.
NOTE: This is actually too small an n for a real study.
Here are your data...
ID
Before
After
Diff
Diff - M
(Diff-M)²
Therapy
rec
Therapy
Score
A
11
16
11
C
STEP
20
15
17
11
the
10
11](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F365575fd-ba43-446f-bda4-179adbe91403%2F5e804a31-d720-4323-895a-4f393ea7c4e3%2Fli4ahno_processed.png&w=3840&q=75)
Transcribed Image Text:Dependent Sample t-Test Activity
1. You want to test a new therapy for globophobia (fear of balloons
in general... this is different than phonophobia, which is the fear
of the sound produced when popping balloons).
You select five people and test their responses to a picture of balloons.
Based on heart rate you develop a globophobia score that ranges from
O (no fear) to 20 (terror). Following therapy, you get a second measure.
NOTE: This is actually too small an n for a real study.
Here are your data...
ID
Before
After
Diff
Diff - M
(Diff-M)²
Therapy
rec
Therapy
Score
A
11
16
11
C
STEP
20
15
17
11
the
10
11
![one-tail
0.1
0.05
0.025
0.01
0.005
0.001
0.0005
two-tails
0.2
0.1
0.05
0.02
0.01
0.002
0.001
DF
3.078
6.314
12.706
31.821
63.656
318.289
636.578
2
1.886
2.92
4.303
6.965
9.925
22.328
31.6
3
1.638
2.353
3.182
4.541
5.841
10.214
12.924
1.533
2.132
2.776
3.747
4.604
7.173
8.61
5
1.476
2.015
2.571
3.365
4.032
5.894
6.869
1.44
1.943
2.447
3.143
3.707
5.208
5.959
1.415
1.895
2.365
2.998
3.499
4.785
5.408
1.397
1.86
2.306
2.896
3.355
4.501
5.041
1.383
1.833
2.262
2.821
3.25
4.297
4.781
10
1.372
1.812
2.228
2.764
3.169
4.144
4.587
11
1.363
1.796
2.201
2.718
3.106
4.025
4.437
12
1.356
1.782
2.179
2.681
3.055
3.93
4.318
13
1.35
1.771
2.16
2.65
3.012
3.852
4.221
14
1.345
1.761
2.145
2.624
2.977
3.787
4.14
15
1.341
1.753
2.131
2.602
2.947
3.733
4.073
16
1.337
1.746
2.12
2.583
2.921
3.686
4.015
17
1.333
1.74
2.11
2.567
2.898
3.646
3.965
18
1.33
1.734
2.101
2.552
2.878
3.61
3.922
19
1.328
1.729
2.093
2.539
2.861
3.579
3.883
20
1.325
1.725
2.086
2.528
2.845
3.552
3.85
21
1.323
1.721
2.08
2.518
2.831
3.527
3.819
22
1.321
1.717
2.074
2.508
2.819
3.505
3.792
23
1.319
1.714
2.069
2.5
2.807
3.485
3.768
24
1.318
1.711
2.064
2.492
2.797
3.467
3.745
25
1.316
1.708
2.06
2.485
2.787
3.45
3.725
36
1.315
1.706
2.056
2.479
2.779
3.435
3.707
27
1.314
1.703
2.052
2.473
2.771
3.421
3.689
28
1.313
1.701
2.048
2.467
2.763
3.408
3.674
29
1.311
1.699
2.045
2.462
2.756
3.396
3.66
30
1.31
1.697
2.042
2.457
2.75
3.385
3.646
60
1.296
1.671
2
2.39
2.66
3.232
3.46
1.289
1.658
1.98
2.358
2.617
3.16
3.373
532 320.
1.282
1.646
1.962
2.33
2.581
3.098
3.3
Inf
1.282
1.645
1.96
2.326
2.576
3.091
3.291](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F365575fd-ba43-446f-bda4-179adbe91403%2F5e804a31-d720-4323-895a-4f393ea7c4e3%2Fz2uno4_processed.png&w=3840&q=75)
Transcribed Image Text:one-tail
0.1
0.05
0.025
0.01
0.005
0.001
0.0005
two-tails
0.2
0.1
0.05
0.02
0.01
0.002
0.001
DF
3.078
6.314
12.706
31.821
63.656
318.289
636.578
2
1.886
2.92
4.303
6.965
9.925
22.328
31.6
3
1.638
2.353
3.182
4.541
5.841
10.214
12.924
1.533
2.132
2.776
3.747
4.604
7.173
8.61
5
1.476
2.015
2.571
3.365
4.032
5.894
6.869
1.44
1.943
2.447
3.143
3.707
5.208
5.959
1.415
1.895
2.365
2.998
3.499
4.785
5.408
1.397
1.86
2.306
2.896
3.355
4.501
5.041
1.383
1.833
2.262
2.821
3.25
4.297
4.781
10
1.372
1.812
2.228
2.764
3.169
4.144
4.587
11
1.363
1.796
2.201
2.718
3.106
4.025
4.437
12
1.356
1.782
2.179
2.681
3.055
3.93
4.318
13
1.35
1.771
2.16
2.65
3.012
3.852
4.221
14
1.345
1.761
2.145
2.624
2.977
3.787
4.14
15
1.341
1.753
2.131
2.602
2.947
3.733
4.073
16
1.337
1.746
2.12
2.583
2.921
3.686
4.015
17
1.333
1.74
2.11
2.567
2.898
3.646
3.965
18
1.33
1.734
2.101
2.552
2.878
3.61
3.922
19
1.328
1.729
2.093
2.539
2.861
3.579
3.883
20
1.325
1.725
2.086
2.528
2.845
3.552
3.85
21
1.323
1.721
2.08
2.518
2.831
3.527
3.819
22
1.321
1.717
2.074
2.508
2.819
3.505
3.792
23
1.319
1.714
2.069
2.5
2.807
3.485
3.768
24
1.318
1.711
2.064
2.492
2.797
3.467
3.745
25
1.316
1.708
2.06
2.485
2.787
3.45
3.725
36
1.315
1.706
2.056
2.479
2.779
3.435
3.707
27
1.314
1.703
2.052
2.473
2.771
3.421
3.689
28
1.313
1.701
2.048
2.467
2.763
3.408
3.674
29
1.311
1.699
2.045
2.462
2.756
3.396
3.66
30
1.31
1.697
2.042
2.457
2.75
3.385
3.646
60
1.296
1.671
2
2.39
2.66
3.232
3.46
1.289
1.658
1.98
2.358
2.617
3.16
3.373
532 320.
1.282
1.646
1.962
2.33
2.581
3.098
3.3
Inf
1.282
1.645
1.96
2.326
2.576
3.091
3.291
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