A FICO score is used by credit agencies to assess the creditworthiness of individuals. Values range from 300 to 850, with a FICO sore over 700 considered to be a quality credit risk. According to FICO, the mean FICO score is 703.5. A credit analyst wondered whether high-income individuals (>$100,000 per year) had higher credit scores. He obtained a random sample of 40 high-income individuals and found the sample mean credit score to be 714.2 with a standard deviation of 83.2. Test the claim that high-income individuals have higher FICO scores at the = 0.05 level of significance. (11 points)