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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 33PPS
Related questions
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%
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL