How would you report the results? The derived t = 0.74 was not significant at p = .05 with df = 19. Therefore, Ho 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. The derived t = 3.30 was significant at p .05 with df = 18. Therefore, Ho 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. O The derived t = -9.70 was significant at p = .05 with df = 19. Therefore, Ho 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. O The derived t = -7.15 was significant at p .05 with df 1. Therefore, Ho 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. O The derived t = 0.74 was significant at p = .05 with df = 20. Therefore, Ho 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
How would you report the results?
The derived t = 0.74 was not significant at p = .05 with df = 19.
Therefore, Ho 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.
The derived t = 3.30 was significant at p = .05 with df = 18. Therefore, Ho
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.
The derived t = -9.70 was significant at p = .05 with df = 19. Therefore,
Họ 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.
The derived t = -7.15 was significant at p = .05 with df = 1. Therefore, Ho
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.
The derived t = 0.74 was significant at p = .05 with df = 20. Therefore, Ho
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.
Transcribed Image Text:How would you report the results? The derived t = 0.74 was not significant at p = .05 with df = 19. Therefore, Ho 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. The derived t = 3.30 was significant at p = .05 with df = 18. Therefore, Ho 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. The derived t = -9.70 was significant at p = .05 with df = 19. Therefore, Họ 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. The derived t = -7.15 was significant at p = .05 with df = 1. Therefore, Ho 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. The derived t = 0.74 was significant at p = .05 with df = 20. Therefore, Ho 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.
Expert Solution
Introduction

The mean significant difference between the two sample and the population parameter for smaller sample size is calculated using t test for paired sample. For any level of significance, t test is calculated under the research hypothesis as

t=x1¯-x2¯n1s12+n2s22n1+n2-21n1+1n2

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman