\( 1 \leftarrow \begin{array}{l}\text { A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. } \\ \text { Values range from } 300 \text { to } 850 \text {, with a credit score over } 700 \text { considered to be a quality credit risk. According to a survey, the mean credit } \\ \text { score is } 710.1 \text {. A credit analyst wondered whether high-income individuals (incomes in excess of } \$ 100,000 \text { per year) had higher credit } \\ \text { scores. He obtained a random sample of } 48 \text { high-income individuals and found the sample mean credit score to be } 722.8 \text { with a } \\ \text { standard deviation of } 83.8 \text {. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the } \\ \alpha=0.05 \text { level of significance. } \\ \text { E Click the icon to view the table of critical } t-v a l u e s . \\ \text { Identity the t-statistic. } \\ \text { Approximate the P-value. } \\ \text { The P-value is in the range }\end{array} \) (Round to two decimal places as needed.)
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