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 700.1. 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 45 high-income individuals and found the sample mean credit score to be 713.4 with a standard deviation of 84.9. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a = 0.05 level of significance. State the null and alternative hypotheses. Ho: O (Type integers or decimals. Do not round.) Identify the t-statistic. to (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. the null hypothesis. There V sufficient evidence to claim that the mean credit score of high-income individuals is

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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 700.1. 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 45 high-income individuals and found the sample mean credit score to be 713.4 with a standard deviation of 84.9. 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 null and alternative hypotheses.**

   \( H_0: \mu \) [Dropdown options for hypothesis indicating whether the null hypothesis equals, is greater than, or less than the mean credit score of the general population]

   \( H_1: \mu \) [Dropdown options for hypothesis indicating whether the alternative hypothesis does not equal, is greater than, or is less than the mean credit score of the general population]

   (Type integers or decimals. Do not round.)

2. **Identify the t-statistic.**

   \( t_0 = \) [Input field requiring rounding to two decimal places as needed.]

3. **Identify the P-value.**

   P-value = [Input field requiring rounding to three decimal places as needed.]

4. **Make a conclusion regarding the hypothesis.**

   [Dropdowns for choosing either 'Reject' or 'Do not reject' regarding the null hypothesis]

   There [Dropdown for choosing either 'is' or 'is not'] sufficient evidence to claim that the mean credit score of high-income individuals is [Dropdown options for hypothesis conclusions such as equal to, not equal to, greater than, or less than the general population].
Transcribed Image Text: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 700.1. 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 45 high-income individuals and found the sample mean credit score to be 713.4 with a standard deviation of 84.9. 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 null and alternative hypotheses.** \( H_0: \mu \) [Dropdown options for hypothesis indicating whether the null hypothesis equals, is greater than, or less than the mean credit score of the general population] \( H_1: \mu \) [Dropdown options for hypothesis indicating whether the alternative hypothesis does not equal, is greater than, or is less than the mean credit score of the general population] (Type integers or decimals. Do not round.) 2. **Identify the t-statistic.** \( t_0 = \) [Input field requiring rounding to two decimal places as needed.] 3. **Identify the P-value.** P-value = [Input field requiring rounding to three decimal places as needed.] 4. **Make a conclusion regarding the hypothesis.** [Dropdowns for choosing either 'Reject' or 'Do not reject' regarding the null hypothesis] There [Dropdown for choosing either 'is' or 'is not'] sufficient evidence to claim that the mean credit score of high-income individuals is [Dropdown options for hypothesis conclusions such as equal to, not equal to, greater than, or less than the general population].
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