How would you report the results?   Group of answer choices   1. The derived t = 0.74 was not significant at p = .05 with df = 19. Therefore, H0 was not rejected, and it was concluded that the mean number of errors for subjects after 8 hours of sleep deprivation (2.02) was not different than the mean number of errors after 24 hours of sleep deprivation (13.90), t(19) = 0.74, p > .05. In terms of the research question, it appears that sleep deprivation did not increase the number of errors in this sample.   2. The derived t = 3.30 was significant at p = .05 with df = 18. Therefore, H0 was rejected, and it was concluded that the mean number of errors for subjects after 24 hours of sleep deprivation (2.02) was different than the mean number of errors after 8 hours of sleep deprivation (2.12), t(18) = 3.30, p < .05. In terms of the research question, it appears that sleep was effective in reducing number of errors in this sample.   3. The derived t = –9.70 was significant at p = .05 with df = 19. Therefore, H0 was rejected, and it was concluded that the mean number of errors for subjects after 24 hours of sleep deprivation (13.90) was significantly higher than the mean number of errors after 8 hours of sleep deprivation (6.75), t(19) = –9.70, p < .001. In terms of the research question, it appears that sleep deprivation increased the number of errors in this sample.   4. The derived t = –7.15 was significant at p = .05 with df = 1. Therefore, H0 was rejected, and it was concluded that the mean number of errors for subjects after 8 hours of sleep deprivation (6.75) was significantly lower than the mean number of errors after 24 hours of sleep deprivation (13.90), t(1) = –7.15, p < .000. In terms of the research question, it appears that sleep was effective in reducing number of errors in this sample.   5. The derived t = 0.74 was significant at p = .05 with df = 20. Therefore, H0 was rejected, and it was concluded that the mean number of errors for subjects after 8 hours of sleep deprivation (2.02) was significantly lower than the mean number of errors after 24 hours of sleep deprivation (2.12), t(20) = 0.74, p < .01. In terms of the research question, it appears that sleep was effective in reducing number of errors in this sample.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
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How would you report the results?
 
Group of answer choices
 
1. The derived t = 0.74 was not significant at p = .05 with df = 19. Therefore, H0 was not rejected, and it was concluded that the mean number of errors for subjects after 8 hours of sleep deprivation (2.02) was not different than the mean number of errors after 24 hours of sleep deprivation (13.90), t(19) = 0.74, p > .05. In terms of the research question, it appears that sleep deprivation did not increase the number of errors in this sample.
 
2. The derived t = 3.30 was significant at p = .05 with df = 18. Therefore, H0 was rejected, and it was concluded that the mean number of errors for subjects after 24 hours of sleep deprivation (2.02) was different than the mean number of errors after 8 hours of sleep deprivation (2.12), t(18) = 3.30, p < .05. In terms of the research question, it appears that sleep was effective in reducing number of errors in this sample.
 
3. The derived t = –9.70 was significant at p = .05 with df = 19. Therefore, H0 was rejected, and it was concluded that the mean number of errors for subjects after 24 hours of sleep deprivation (13.90) was significantly higher than the mean number of errors after 8 hours of sleep deprivation (6.75), t(19) = –9.70, p < .001. In terms of the research question, it appears that sleep deprivation increased the number of errors in this sample.
 
4. The derived t = –7.15 was significant at p = .05 with df = 1. Therefore, H0 was rejected, and it was concluded that the mean number of errors for subjects after 8 hours of sleep deprivation (6.75) was significantly lower than the mean number of errors after 24 hours of sleep deprivation (13.90), t(1) = –7.15, p < .000. In terms of the research question, it appears that sleep was effective in reducing number of errors in this sample.
 
5. The derived t = 0.74 was significant at p = .05 with df = 20. Therefore, H0 was rejected, and it was concluded that the mean number of errors for subjects after 8 hours of sleep deprivation (2.02) was significantly lower than the mean number of errors after 24 hours of sleep deprivation (2.12), t(20) = 0.74, p < .01. In terms of the research question, it appears that sleep was effective in reducing number of errors in this sample.
Paired Samples Statistics
Std. Error
Mean
Std. Deviation
Mean
Errors after 8 hours sleep
deprivation
Pair 1
6.75
20
2.124
.475
Errors after 24 hours
13.90
20
2.024
.452
sleep deprivation
Paired Samples Correlations
Significance
N
Correlation
One-Sided p
Two-Sided p
Pair 1
Errors after 8 hours sleep
20
-.263
.131
.262
deprivation & Errors after
24 hours sleep
deprivation
Paired Samples Test
Paired Differences
Significance
95% Confidence Interval of the
Difference
Std. Error
Mean
Std. Deviation
Mean
Lower
Upper
t
df
One-Sided p Two-Sided p
Errors after 8 hours sleep
deprivation - Errors after
24 hours sleep
deprivation
Pair 1
-7.150
3.297
.737
-8.693
-5.607
-9.698
19
<.001
<.001
Paired Samples Effect Sizes
95% Confidence Interval
Point
Standardizer
Estimate
Lower
Upper
Errors after 8 hours sleep
deprivation - Errors after
24 hours sleep
Pair 1
Cohen's d
3.297
-2.169
-2.972
-1.348
Hedges' correction
3.364
-2.125
-2.913
-1.321
deprivation
a. The denominator used in estimating the effect sizes.
Cohen's d uses the sample standard deviation of the mean difference.
Hedges' correction uses the sample standard deviation of the mean difference, plus a correction factor.
Transcribed Image Text:Paired Samples Statistics Std. Error Mean Std. Deviation Mean Errors after 8 hours sleep deprivation Pair 1 6.75 20 2.124 .475 Errors after 24 hours 13.90 20 2.024 .452 sleep deprivation Paired Samples Correlations Significance N Correlation One-Sided p Two-Sided p Pair 1 Errors after 8 hours sleep 20 -.263 .131 .262 deprivation & Errors after 24 hours sleep deprivation Paired Samples Test Paired Differences Significance 95% Confidence Interval of the Difference Std. Error Mean Std. Deviation Mean Lower Upper t df One-Sided p Two-Sided p Errors after 8 hours sleep deprivation - Errors after 24 hours sleep deprivation Pair 1 -7.150 3.297 .737 -8.693 -5.607 -9.698 19 <.001 <.001 Paired Samples Effect Sizes 95% Confidence Interval Point Standardizer Estimate Lower Upper Errors after 8 hours sleep deprivation - Errors after 24 hours sleep Pair 1 Cohen's d 3.297 -2.169 -2.972 -1.348 Hedges' correction 3.364 -2.125 -2.913 -1.321 deprivation a. The denominator used in estimating the effect sizes. Cohen's d uses the sample standard deviation of the mean difference. Hedges' correction uses the sample standard deviation of the mean difference, plus a correction factor.
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