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

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**Educational Webpage - Statistical Analysis Example on Credit Scores**

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### 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
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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