Is there a significant difference in the number of errors for 8 and 24 hours sleep deprivation?Choice Answers:1. Yes, p < .05 2. Yes, p < .01 3. Yes, p < .001 4. Yes, p < .0000 5. No, p > .05 Paired Samples StatisticsStd. ErrorMeanStd. DeviationMeanErrors after 8 hours sleepdeprivationPair 16.75202.124.475Errors after 24 hours13.90202.024.452sleep deprivationPaired Samples CorrelationsSignificanceNCorrelationOne-Sided pTwo-Sided pPair 1Errors after 8 hours sleep20-.263.131.262deprivation & Errors after24 hours sleepdeprivationPaired Samples TestPaired DifferencesSignificance95% Confidence Interval of theDifferenceStd. ErrorMeanStd. DeviationMeanLowerUppertdfOne-Sided p Two-Sided pErrors after 8 hours sleepdeprivation - Errors after24 hours sleepdeprivationPair 1-7.1503.297.737-8.693-5.607-9.69819<.001<.001Paired Samples Effect Sizes95% Confidence IntervalPointStandardizerEstimateLowerUpperErrors after 8 hours sleepdeprivation - Errors after24 hours sleepPair 1Cohen's d3.297-2.169-2.972-1.348Hedges' correction3.364-2.125-2.913-1.321deprivationa. 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.

Answered: Paired Samples Correlations…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

Is there a significant difference in the number of errors for 8 and 24 hours sleep deprivation?

Choice Answers:

1. Yes, p < .05

2. Yes, p < .01

3. Yes, p < .001

4. Yes, p < .0000

5. No, p > .05

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.

Expert Solution

Step 1

Two samples are called paired sample if both the samples are collected using the same elements and in two different conditions. The paired sample t test is used to compare the population mean of such data.

For this hypothesis test the difference in paired data is treated as a single sample. The test statistic is computed by $t = \frac{\bar{d} - μ_{d}}{\frac{s_{d}}{\sqrt{n}}}$ where $\bar{d}$ is sample mean of difference, $μ_{d}$ is mean difference claimed in null hypothesis, $s_{d}$ is sample standard deviation of difference and n is sample size.