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. Accordi a survey, the mean credit score is 701.3. 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 41 high-income individuals and the sample mean credit score to be 716.6 with a standard deviation of 81.7. 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=701.3 H₁> 701.3 (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 sufficient evidence to claim that

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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Please help with T-statistic, Identify the P-value and Make a conclusion. Thank you

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 701.3. 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 41 high-income individuals and found
the sample mean credit score to be 716.6 with a standard deviation of 81.7. 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: 701.3
P
H₁:μ > 701.3
(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.)
WWUNG
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 701.3. 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 41 high-income individuals and found the sample mean credit score to be 716.6 with a standard deviation of 81.7. 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: 701.3 P H₁:μ > 701.3 (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.) WWUNG 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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