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In: Statistics and Probability

A credit score is used by credit agencies​ (such as mortgage companies and​ banks) to assess...

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 706.2. 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 42 ​high-income individuals and found the sample mean credit score to be 723.8 with a standard deviation of 80.7. Conduct the appropriate test to determine if​ high-income individuals have higher credit scores at the alphaequals0.05 level of significance.

1.State the null an hypotheses

2.identify the t-statistic

3.identify the p-value

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