Given the following data, calculate SM1-M2-- **ROUND AND REPORT YOUR ANSWER TO TWO DECIMAL PLACES!!** Non-depressed: M₁= 24, SS₁ = 178 Depressed: M₂ = 12, SS₂=122
Given the following data, calculate SM1-M2-- **ROUND AND REPORT YOUR ANSWER TO TWO DECIMAL PLACES!!** Non-depressed: M₁= 24, SS₁ = 178 Depressed: M₂ = 12, SS₂=122
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 12CR
Related questions
Question
Transcribed Image Text:Independent Samples t-test:
s²p = (SS₁ + SS₂)/(df₁ + df₂)
SM1-M2 Vs²p/n₁ + s²p/n₂
(x₁ - X₂)
SM1-M2
df=(n₁-1)+(n₂-1)
Formulas vou may need
Given the following data, calculate SM1-M2--
Related Samples t-test:
Sp=So/√n
D
S5
Non-depressed: M₁= 24, SS₁ = 178
Depressed: M₂ = 12, SS₂-122
Dr. Smith believes being raised by a depressed parent alters optimism. To test their hypothesis, Dr. Smith has two
groups of students (five non-depressed and five depressed) take a measure of optimism and analyzes their scores.
**ROUND AND REPORT YOUR ANSWER TO TWO DECIMAL PLACES!!**
t =
df = n -1
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Transcribed Image Text:TABLE A.3 Critical Values for the Student's t Distribution
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
120
00
.10
.20
3.078
1.886
1.638
1.533
1.476
1.440
1.415
1.397
1.383
1.372
1.363
1.356
1.350
1.345
1.341
1.337
1.333
1.330
1.328
1.325
1.323
1.321
1.319
1.318
1.316
1.315
1.314
1.313
1.311
1.310
1.303
1.296
1.289
1.282
.05
.10
6.314
2.920
2.353
2.132
2.015
1.943
1.895
1.860
1.833
1.812
1.796
1.782
1.771
1.761
1.753
1.746
1.740
1.734
1.729
1.725
1.721
1.717
1.714
1.711
1.708
1.706
1.703
1.701
1.699
1.697
1.684
1.671
1.658
1.645
Level of Significance for One-Tailed Test
.025
.01
Level of Significance for Two-Tailed Test
.02
31.821
6.965
4.541
.05
12.706
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
1.980
1.960
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
2.358
2.326
.005
VENTER
.01
63.657
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
2.921
2.898
2.878
2.861
2.845
2.831
2.819
2.807
2.797
2.787
2.779
2.771
2.763
2.756
2.750
2.704
2.660
2.617
2.576
.0005
.001
636.619
31.598
12.941
8.610
6.859
5.959
5.405
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
3.965
3.922
3.883
3.850
3.819
3.792
3.767
3.745
3.725
3.707
3.690
3.674
3.659
3.646
3.551
3.460
3.373
3.291
SOURCE: Lehman, R. S. (1995) Statistics in the Behavioral Sciences: A Conceptual Introduction. Pacific Grove, CA: Brooks/Cole Publishing.
Reprinted by permission of the author.
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