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 707.9. 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 36 high-income individuals and found the sample mean credit score to be 723.6 with a standard deviation of 84.3. 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: u = 707.9 H,:H > 707.9 (Type integers or decimals. Do not round.) Identify the t-statistic. tn =|(Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) e%3D Make a conclusion regarding the hypothesis. V the null hypothesis. There V sufficient evidence to claim that the mean credit score of high-income individuals is

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Author:Amos Gilat
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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 707.9. 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 36 high-income individuals and found the sample mean credit score to be 723.6 with a standard deviation
of 84.3. 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: H
707.9
H1: H >
(Type integers or decimals. Do not round.)
707.9
Identify the t-statistic.
t =
(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
sufficient evidence to claim that the mean credit score of high-income individuals is
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 707.9. 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 36 high-income individuals and found the sample mean credit score to be 723.6 with a standard deviation of 84.3. 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: H 707.9 H1: H > (Type integers or decimals. Do not round.) 707.9 Identify the t-statistic. t = (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 sufficient evidence to claim that the mean credit score of high-income individuals is
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