What can you determine from the two images and comparing the N, mean, st deviation, std error mean, F, sir, t, do, sig (2-tailed), mean difference, std error differences, and 95% confidence interval of the difference lower and upper. Please describe what you see from the data being presented ### T-Test Analysis on Health and OCD Group Statistics#### Group Statistics- **Disorder**: This categorical variable distinguishes between two groups: **Health** and **OCD**.- **N** (Sample Size): Number of participants in each group. - Health: 22 - OCD: 22- **Mean**: The average value of the measured variable for each group. - Health: 45.7727 - OCD: 66.2727- **Std. Deviation**: The measure of the amount of variation or dispersion of the values. - Health: 14.65454 - OCD: 24.18221- **Std. Error Mean**: The standard error of the mean; an estimate of the standard deviation of the sample mean. - Health: 3.12436 - OCD: 5.11566#### Independent Samples TestThis section compares the means of the two groups (Health and OCD) to determine if they are significantly different from each other.- **Levene's Test for Equality of Variances**: - **F**: Test statistic for equality of variances. - Value: 7.318 - **Sig.**: Significance level (p-value). - Value: 0.010##### t-test for Equality of Means1. **Equal variances assumed**: - **t**: -3.401 - **df**: 42 - **Sig. (2-tailed)**: 0.001 - **Mean Difference**: -20.50000 - **Std. Error Difference**: 6.02847 - **95% Confidence Interval of the Difference**: - **Lower**: -32.66595 - **Upper**: -8.334052. **Equal variances not assumed**: - **t**: -3.401 - **df**: 34.591 - **Sig. (2-tailed)**: 0.002 - **Mean Difference**: -20.50000 - **Std. Error Difference**: 6.02847 - **95% Confidence Interval of the Difference**: - **Lower**: -32.74362 - **Upper # T-Test Analysis for Health Study## Group StatisticsThe table below summarizes the group statistics comparing the number of hours spent on health activities and the corresponding statistical measures:| Group | N | Mean | Std. Deviation | Std. Error Mean ||-------|----|----------|----------------|------------------|| Health (Few to moderate hours) | 26 | 46.5385 | 15.27411 | 2.99550 || Health (A lot of hours) | 18 | 69.7222 | 24.08760 | 5.67750 |## Levene's Test for Equality of VariancesLevene's Test assesses the equality of variances for the two groups:| Group | F | Sig. ||-----|------|-------|| Health (Equal variances assumed) | 2.681 | .109 || Health (Equal variances not assumed) | - | - |## Independent Samples TestThe Independent Samples Test compares the means between the two groups:### Equal Variances Assumed| Group | t | df | Sig. (2-tailed) | Mean Difference | Std. Error Difference | 95% Confidence Interval of the Difference ||------|--------|----|-----------|--------|-----------|--------|| Health (Equal variances assumed) | -3.911 | 42 | .000 | -23.18376 | 5.92754 | Lower: -35.14601 | Upper: -11.22151 |### Equal Variances Not Assumed| Group | t | df | Sig. (2-tailed) | Mean Difference | Std. Error Difference | 95% Confidence Interval of the Difference ||------|-------|----|-----------|-----|-------------|-----------|| Health (Equal variances not assumed) | -3.612 | 26.391 | .001 | -23.18376 | 6.41927 | Lower: -36.36925 | Upper: -9.99828 |## Interpretation- **Group Statistics:** The mean for the "Few to moderate hours" group is 46.5385 with a standard deviation of 15.27411, while the "A lot of hours" group has a mean of 69.7222 with a standard deviation of 24.

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Description: What can you determine from the two images and comparing the N, mean, st deviation, std error mean, F, sir, t, do, sig (2-tailed), mean difference, std error differences, and 95% confidence interval of the difference lower and upper. Please describe

Image 1: Descriptive Statistics: The sample size, N is equal for both disorder N and OCD. The mean,…

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What can you determine from the two images and comparing the N, mean, st deviation, std error mean, F, sir, t, do, sig (2-tailed), mean difference, std error differences, and 95% confidence interval of the difference lower and upper. Please describe what you see from the data being presented

### T-Test Analysis on Health and OCD Group Statistics

#### Group Statistics

- **Disorder**: This categorical variable distinguishes between two groups: **Health** and **OCD**.
- **N** (Sample Size): Number of participants in each group.
- Health: 22
- OCD: 22
- **Mean**: The average value of the measured variable for each group.
- Health: 45.7727
- OCD: 66.2727
- **Std. Deviation**: The measure of the amount of variation or dispersion of the values.
- Health: 14.65454
- OCD: 24.18221
- **Std. Error Mean**: The standard error of the mean; an estimate of the standard deviation of the sample mean.
- Health: 3.12436
- OCD: 5.11566

#### Independent Samples Test

This section compares the means of the two groups (Health and OCD) to determine if they are significantly different from each other.

- **Levene's Test for Equality of Variances**:
- **F**: Test statistic for equality of variances.
- Value: 7.318
- **Sig.**: Significance level (p-value).
- Value: 0.010

##### t-test for Equality of Means

1. **Equal variances assumed**:
- **t**: -3.401
- **df**: 42
- **Sig. (2-tailed)**: 0.001
- **Mean Difference**: -20.50000
- **Std. Error Difference**: 6.02847
- **95% Confidence Interval of the Difference**:
- **Lower**: -32.66595
- **Upper**: -8.33405

2. **Equal variances not assumed**:
- **t**: -3.401
- **df**: 34.591
- **Sig. (2-tailed)**: 0.002
- **Mean Difference**: -20.50000
- **Std. Error Difference**: 6.02847
- **95% Confidence Interval of the Difference**:
- **Lower**: -32.74362
- **Upper

# T-Test Analysis for Health Study

## Group Statistics

The table below summarizes the group statistics comparing the number of hours spent on health activities and the corresponding statistical measures:

| Group | N | Mean | Std. Deviation | Std. Error Mean |
|-------|----|----------|----------------|------------------|
| Health (Few to moderate hours) | 26 | 46.5385 | 15.27411 | 2.99550 |
| Health (A lot of hours) | 18 | 69.7222 | 24.08760 | 5.67750 |

## Levene's Test for Equality of Variances

Levene's Test assesses the equality of variances for the two groups:

| Group | F | Sig. |
|-----|------|-------|
| Health (Equal variances assumed) | 2.681 | .109 |
| Health (Equal variances not assumed) | - | - |

## Independent Samples Test

The Independent Samples Test compares the means between the two groups:

### Equal Variances Assumed

| Group | t | df | Sig. (2-tailed) | Mean Difference | Std. Error Difference | 95% Confidence Interval of the Difference |
|------|--------|----|-----------|--------|-----------|--------|
| Health (Equal variances assumed) | -3.911 | 42 | .000 | -23.18376 | 5.92754 | Lower: -35.14601 | Upper: -11.22151 |

### Equal Variances Not Assumed

| Group | t | df | Sig. (2-tailed) | Mean Difference | Std. Error Difference | 95% Confidence Interval of the Difference |
|------|-------|----|-----------|-----|-------------|-----------|
| Health (Equal variances not assumed) | -3.612 | 26.391 | .001 | -23.18376 | 6.41927 | Lower: -36.36925 | Upper: -9.99828 |

## Interpretation

- **Group Statistics:** The mean for the "Few to moderate hours" group is 46.5385 with a standard deviation of 15.27411, while the "A lot of hours" group has a mean of 69.7222 with a standard deviation of 24.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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