When people learn a new task, their performance usually improves when they are tested the next day, but only if they get 6 hours sleep (Sticckgold, et al., 2000). The following data demonstrate this phenomenon. The participants learned a visual discrimination task on one day. Half of the participants were allowed to have at least 6 hours of sleep and the other half were kept awake all night. 6 hours sleep No sleep n =14 n = 14 M = 72 M =65 SS = 932 SS = 706Is there a significant difference between the two conditions? Use a two-tailed test with α = .01.Remember use the attached t-distribution chart when obtaining your critical region. APPENDIX B STATISTICAL TABLES575TABLE B.2THE t DISTRIBUTIONTable entries are values of t corresponding to proportions in one tail or in two tails combined.One tailTwo tails(either right or left)combinedProportion in One Tail0.050.250.100.0250.010.005Proportion in Two Tails Combined0.10df0.500.200.050.020.011.0003.0781.8866.31412.7064.30331.82163.6579.9255.8414.6044.0320.8160.7650.7410.7270.7180.7110.7060.7030.7000.6972.9202.3532.1326.9654.5413.7473.1.6381.5333.1822.7762.5712.4472.3652.3062.2623.3653.1432.9982.89651.4761.4401.4152.0151.9431.8953.7073.4996.1.3971.3831.3721.36381.8603.3553.2509.1.8332.8212.7642.7182.68110111.8121.7961.7821.7712.2282.2012.1793.1693.1063.0550.6950.6941.3561.35012132.1602.6502.6242.6023.0122.9772.9472.9212.1452.1312.1202.1102.1012.0932.0862.0802.074140.6921.3451.3411.3371.3331.3301.3281.7611.7531.7461.7401.7341.7291.7251.7211.7171.7141.7111.708150.69116170.6902.5832.5672.5522.5392.5282.5182.5080.6891819200.6880.6880.6872.8982.8782.8612122230.6860.6860.6850.6850.6841.3251.3232.8452.8312.8191.3211.3191.3182.0692.0642.0602.5002.4922.4852.8072.7972.7872.7792.7711.3160.6840.6840.6830.6830.6830.6810.6792.0562.0522,4792.4732.4672.4622.4572.4232.3901.3151.7061.7031.3141.3131.3111.7011.6991.6971.6841.6711.6581.64528291.3101.3031.2961.2892.0482.0452.0422.0212.0002.7632.7562.7502.7042.6603040601200.6770.6741.9801.9602.3582.3262.6171.2822.576

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Description: When people learn a new task, their performance usually improves when they are tested the next day, but only if they get 6 hours sleep (Sticckgold, et al., 2000). The following data demonstrate this phenomenon. The participants learned a visual disc

Given that : 6 hours sleep No sleep n =14 n = 14 M = 72 M = 65 SS = 932 SS = 706…

Answered: When people learn a new task, their…

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When people learn a new task, their performance usually improves when they are tested the next day, but only if they get 6 hours sleep (Sticckgold, et al., 2000). The following data demonstrate this phenomenon. The participants learned a visual discrimination task on one day. Half of the participants were allowed to have at least 6 hours of sleep and the other half were kept awake all night.

6 hours sleep No sleep

n =14 n = 14

M = 72 M =65

SS = 932 SS = 706

Is there a significant difference between the two conditions? Use a two-tailed test with α = .01.

Remember use the attached t-distribution chart when obtaining your critical region.

APPENDIX B STATISTICAL TABLES
575
TABLE B.2
THE t DISTRIBUTION
Table entries are values of t corresponding to proportions in one tail or in two tails combined.
One tail
Two tails
(either right or left)
combined
Proportion in One Tail
0.05
0.25
0.10
0.025
0.01
0.005
Proportion in Two Tails Combined
0.10
df
0.50
0.20
0.05
0.02
0.01
1.000
3.078
1.886
6.314
12.706
4.303
31.821
63.657
9.925
5.841
4.604
4.032
0.816
0.765
0.741
0.727
0.718
0.711
0.706
0.703
0.700
0.697
2.920
2.353
2.132
6.965
4.541
3.747
3.
1.638
1.533
3.182
2.776
2.571
2.447
2.365
2.306
2.262
3.365
3.143
2.998
2.896
5
1.476
1.440
1.415
2.015
1.943
1.895
3.707
3.499
6.
1.397
1.383
1.372
1.363
8
1.860
3.355
3.250
9.
1.833
2.821
2.764
2.718
2.681
10
11
1.812
1.796
1.782
1.771
2.228
2.201
2.179
3.169
3.106
3.055
0.695
0.694
1.356
1.350
12
13
2.160
2.650
2.624
2.602
3.012
2.977
2.947
2.921
2.145
2.131
2.120
2.110
2.101
2.093
2.086
2.080
2.074
14
0.692
1.345
1.341
1.337
1.333
1.330
1.328
1.761
1.753
1.746
1.740
1.734
1.729
1.725
1.721
1.717
1.714
1.711
1.708
15
0.691
16
17
0.690
2.583
2.567
2.552
2.539
2.528
2.518
2.508
0.689
18
19
20
0.688
0.688
0.687
2.898
2.878
2.861
21
22
23
0.686
0.686
0.685
0.685
0.684
1.325
1.323
2.845
2.831
2.819
1.321
1.319
1.318
2.069
2.064
2.060
2.500
2.492
2.485
2.807
2.797
2.787
2.779
2.771
1.316
0.684
0.684
0.683
0.683
0.683
0.681
0.679
2.056
2.052
2,479
2.473
2.467
2.462
2.457
2.423
2.390
1.315
1.706
1.703
1.314
1.313
1.311
1.701
1.699
1.697
1.684
1.671
1.658
1.645
28
29
1.310
1.303
1.296
1.289
2.048
2.045
2.042
2.021
2.000
2.763
2.756
2.750
2.704
2.660
30
40
60
120
0.677
0.674
1.980
1.960
2.358
2.326
2.617
1.282
2.576

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