What is H0? 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

Ciccarelli: Psychology_5 (5th Edition)
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Chapter1: The Science Of Psychology
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What is H0?

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 on Sleep Deprivation and Errors

#### Paired Samples Statistics

- **Mean**
  - Errors after 8 hours sleep deprivation: 6.75
  - Errors after 24 hours sleep deprivation: 13.90
- **N (Number of participants):** 20 for both conditions
- **Standard Deviation**
  - 8 hours: 2.124
  - 24 hours: 2.024
- **Standard Error Mean**
  - 8 hours: 0.475
  - 24 hours: 0.452

#### Paired Samples Correlations

- **Correlation between conditions:** -0.263
- **Significance**
  - One-Sided p: 0.131
  - Two-Sided p: 0.262

#### Paired Samples Test

- **Paired Differences**
  - **Mean Difference:** -7.150
  - **Standard Deviation:** 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

#### Paired Samples Effect Sizes

- **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

**Note:**
The denominator used in estimating the effect sizes is explained in the footnote. Cohen's d and Hedges' correction use standard deviations from the mean difference and a correction factor, respectively.
Transcribed Image Text:### Paired Samples Analysis on Sleep Deprivation and Errors #### Paired Samples Statistics - **Mean** - Errors after 8 hours sleep deprivation: 6.75 - Errors after 24 hours sleep deprivation: 13.90 - **N (Number of participants):** 20 for both conditions - **Standard Deviation** - 8 hours: 2.124 - 24 hours: 2.024 - **Standard Error Mean** - 8 hours: 0.475 - 24 hours: 0.452 #### Paired Samples Correlations - **Correlation between conditions:** -0.263 - **Significance** - One-Sided p: 0.131 - Two-Sided p: 0.262 #### Paired Samples Test - **Paired Differences** - **Mean Difference:** -7.150 - **Standard Deviation:** 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 #### Paired Samples Effect Sizes - **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 **Note:** The denominator used in estimating the effect sizes is explained in the footnote. Cohen's d and Hedges' correction use standard deviations from the mean difference and a correction factor, respectively.
Expert Solution
Step 1

Null hypothesis or H is nothing but the no association and no difference. It suggests that there is no statistical relationship between two variables of an experiment. Example of null hypothesis can be taken from an experiment of whether cats care about the color of the food that they are consuming. And the null hypothesis would be that cats do not express distinct interest or preference in the color of the food that they are given. It is a default hypothesis which measures to zero in quantity.

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