1. What type of test was used to analyze these data 2. what sample size of this study 3. what is the population mean forgiveness score 4. What is the sample mean forgiveness score 5. what is the critical value of this t ### Statistical Analysis Report#### One-Sample Statistics- **Variable:** Forgive- **Sample Size (N):** 15- **Mean:** 6.4000- **Standard Deviation:** 0.91026- **Standard Error Mean:** 0.23503#### One-Sample Test- **Test Value:** 5| **Statistic** | **Value** ||---------------|-----------|| **t** | 5.957 || **Degrees of Freedom (df)** | 14 || **Significance (2-tailed)** | 0.000 || **Mean Difference** | 1.40000 || **95% Confidence Interval of the Difference** | || **Lower** | 0.8959 || **Upper** | 1.9041 |**Explanation:** The report presents the results of a one-sample t-test conducted to compare the mean of a sample dataset labeled as "forgive" against a test value of 5. With a sample size of 15, the mean is calculated as 6.4000 with a standard deviation of 0.91026. The statistical test shows a t-value of 5.957, with 14 degrees of freedom, yielding a highly significant result (p-value < 0.001). The 95% confidence interval for the mean difference (1.40000) ranges from 0.8959 to 1.9041, suggesting that the test result is statistically significant and different from the test value.

Answered: 1. What type of test was used to…

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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1. What type of test was used to analyze these data

2. what sample size of this study

3. what is the population mean forgiveness score

4. What is the sample mean forgiveness score

5. what is the critical value of this t

### Statistical Analysis Report

#### One-Sample Statistics

- **Variable:** Forgive
- **Sample Size (N):** 15
- **Mean:** 6.4000
- **Standard Deviation:** 0.91026
- **Standard Error Mean:** 0.23503

#### One-Sample Test

- **Test Value:** 5

| **Statistic** | **Value** |
|---------------|-----------|
| **t** | 5.957 |
| **Degrees of Freedom (df)** | 14 |
| **Significance (2-tailed)** | 0.000 |
| **Mean Difference** | 1.40000 |
| **95% Confidence Interval of the Difference** | |
| **Lower** | 0.8959 |
| **Upper** | 1.9041 |

**Explanation:**
The report presents the results of a one-sample t-test conducted to compare the mean of a sample dataset labeled as "forgive" against a test value of 5. With a sample size of 15, the mean is calculated as 6.4000 with a standard deviation of 0.91026. The statistical test shows a t-value of 5.957, with 14 degrees of freedom, yielding a highly significant result (p-value < 0.001). The 95% confidence interval for the mean difference (1.40000) ranges from 0.8959 to 1.9041, suggesting that the test result is statistically significant and different from the test value.

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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