In: Statistics and Probability
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