A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 700.4. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 34 high-income individuals and found the sample mean credit score to be 716.2 with a standard deviation of 81.1. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the α = 0.05 level of significance. ... Identify the P-value. P-value= (Round to three decimal places as needed.) View an example Help me solve this Get more help - Clear all Check answer * ? O Type here to search 4:13 PM 6/18/2022 A H a a 96°F Sunny A
A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 700.4. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 34 high-income individuals and found the sample mean credit score to be 716.2 with a standard deviation of 81.1. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the α = 0.05 level of significance. ... Identify the P-value. P-value= (Round to three decimal places as needed.) View an example Help me solve this Get more help - Clear all Check answer * ? O Type here to search 4:13 PM 6/18/2022 A H a a 96°F Sunny A
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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
Transcribed Image Text:**Educational Webpage - Statistical Analysis Example on Credit Scores**
---
### Analysis of Credit Scores by Income Level
#### Background
A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk.
#### Survey Data
According to a survey, the mean credit score is 700.4. A credit analyst wondered whether high-income individuals (income in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 34 high-income individuals and found the sample mean credit score to be 716.2 with a standard deviation of 81.1.
#### Hypothesis Test
Conduct the appropriate test to determine if high-income individuals have higher credit scores at the α = 0.05 level of significance.
1. **State the Hypotheses:**
- Null Hypothesis (H0): High-income individuals have a mean credit score less than or equal to 700.4.
- Alternative Hypothesis (H1): High-income individuals have a mean credit score higher than 700.4.
2. **Identify the P-value:**
- P-value = __________ (Round to three decimal places as needed.)
3. **Decision Rule:**
- If the P-value is less than α = 0.05, reject the null hypothesis.
#### Steps to Compute the P-value:
Determine the test statistic and compare it to a standard normal distribution to find the P-value. Utilize statistical software or tables to obtain this value accurately.
---
**Assistive Options:**
- **Help me solve this**: Click to get step-by-step assistance.
- **View an example**: Review a similar problem with a detailed solution.
- **Get more help**: Access additional resources for deeper understanding.
**User Interface Options:**
- **Clear all**: Remove all inputs to start fresh.
- **Check answer**: Validate your answer and receive feedback.
#### Note:
Ensure to round your P-value to three decimal places as needed, and remember to carefully follow each step of the statistical testing process.
---
By understanding and applying these steps, you can better assess the significance of credit score differences across income levels.
---
**System Requirements:**
- **Operating System**: Windows
- **Web Browser**: Compatible with Chrome, Firefox, Edge
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