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What is Ha? Choice Answers: 1. The mean of group 1 is not the same as the mean of group 2   2. The mean of group 1 is the same as the mean of group 2   3. The number of errors for 8 hours sleep deprivation is different than the number of errors for 24 hours sleep deprivation   4. The number of errors for 8 hours sleep deprivation is equal to the number of errors for 24 hours sleep deprivation   5. The number of errors for 8 hours sleep

What is Ha? Choice Answers: 1. The mean of group 1 is not the same as the mean of group 2   2. The mean of group 1 is the same as the mean of group 2   3. The number of errors for 8 hours sleep deprivation is different than the number of errors for 24 hours sleep deprivation   4. The number of errors for 8 hours sleep deprivation is equal to the number of errors for 24 hours sleep deprivation   5. The number of errors for 8 hours sleep

MATLAB: An Introduction with Applications
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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What is Ha?

Choice Answers:

1. The mean of group 1 is not the same as the mean of group 2
 
2. The mean of group 1 is the same as the mean of group 2
 
3. The number of errors for 8 hours sleep deprivation is different than the number of errors for 24 hours sleep deprivation
 
4. The number of errors for 8 hours sleep deprivation is equal to the number of errors for 24 hours sleep deprivation
 
5. The number of errors for 8 hours sleep deprivation is not different than the number of errors for 24 hours sleep deprivation
 
6. The number of errors for 8 hours sleep deprivation is not equal to the number of errors for 24 hours sleep deprivation
 
7. The number of errors for 8 hours sleep deprivation is not the same as the number of errors for 24 hours sleep deprivation
 
8. The number of errors for 8 hours sleep deprivation is the same as the number of errors for 24 hours sleep deprivation
### Paired Samples Analysis #### Paired Samples Statistics This section presents the statistics for errors made after different durations of sleep deprivation: - **Errors after 8 hours sleep deprivation**: - Mean = 6.75 - Sample Size (N) = 20 - Standard Deviation = 2.124 - Standard Error Mean = 0.475 - **Errors after 24 hours sleep deprivation**: - Mean = 13.90 - Sample Size (N) = 20 - Standard Deviation = 2.024 - Standard Error Mean = 0.452 #### Paired Samples Correlations This analysis shows the correlation between errors after 8 hours and 24 hours of sleep deprivation: - **Correlation (r) = -0.263** - Sample Size (N) = 20 - Significance (One-Sided p) = 0.131 - Significance (Two-Sided p) = 0.262 A negative correlation indicates an inverse relationship, but it is not statistically significant. #### Paired Samples Test This test compares the mean difference of errors between the two conditions: - **Mean of Differences = -7.150** - Standard Deviation of Differences = 3.297 - Standard Error Mean = 0.737 - 95% Confidence Interval of the Difference: Lower = -8.693, Upper = -5.607 - **t-value** = -9.698 - Degrees of Freedom (df) = 19 - Significance: - One-Sided p < 0.001 - Two-Sided p < 0.001 The results indicate a highly significant difference in the number of errors, with fewer errors after 8 hours of sleep deprivation compared to 24 hours. #### Paired Samples Effect Sizes This section provides the effect sizes with two metrics: - **Cohen's d**: - Standardizer = 3.297 - Point Estimate = -2.169 - 95% Confidence Interval: Lower = -2.972, Upper = -1.348 - **Hedges' correction**: - Standardizer = 3.364 - Point Estimate = -2.125 - 95% Confidence Interval: Lower = -2.913, Upper = -1.321 C
Transcribed Image Text:### Paired Samples Analysis #### Paired Samples Statistics This section presents the statistics for errors made after different durations of sleep deprivation: - **Errors after 8 hours sleep deprivation**: - Mean = 6.75 - Sample Size (N) = 20 - Standard Deviation = 2.124 - Standard Error Mean = 0.475 - **Errors after 24 hours sleep deprivation**: - Mean = 13.90 - Sample Size (N) = 20 - Standard Deviation = 2.024 - Standard Error Mean = 0.452 #### Paired Samples Correlations This analysis shows the correlation between errors after 8 hours and 24 hours of sleep deprivation: - **Correlation (r) = -0.263** - Sample Size (N) = 20 - Significance (One-Sided p) = 0.131 - Significance (Two-Sided p) = 0.262 A negative correlation indicates an inverse relationship, but it is not statistically significant. #### Paired Samples Test This test compares the mean difference of errors between the two conditions: - **Mean of Differences = -7.150** - Standard Deviation of Differences = 3.297 - Standard Error Mean = 0.737 - 95% Confidence Interval of the Difference: Lower = -8.693, Upper = -5.607 - **t-value** = -9.698 - Degrees of Freedom (df) = 19 - Significance: - One-Sided p < 0.001 - Two-Sided p < 0.001 The results indicate a highly significant difference in the number of errors, with fewer errors after 8 hours of sleep deprivation compared to 24 hours. #### Paired Samples Effect Sizes This section provides the effect sizes with two metrics: - **Cohen's d**: - Standardizer = 3.297 - Point Estimate = -2.169 - 95% Confidence Interval: Lower = -2.972, Upper = -1.348 - **Hedges' correction**: - Standardizer = 3.364 - Point Estimate = -2.125 - 95% Confidence Interval: Lower = -2.913, Upper = -1.321 C
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