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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

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

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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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.
Transcribed Image Text:### 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.
Expert Solution
Step 1: Providing given information

From the given summary table

sample size n=15

Mean=6.4000

standard deviation =0.91206

standard error mean = 0.23503

t statistic value =5.957

df=14

significant level =0.05

Mean difference =1.40000

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