10.3

6. 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 a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 707.1. 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 50 high-income individuals and found the sample mean credit score to be 719.3 with a standard deviation of 82.5. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the d = 0.01 level of signicance. 7 Click the icon to view the table of critical t-values. State the null and alternative hypotheses. Fill in the correct answers below. Hn=mI:I H1=nt2)I:I (Type integers or decimals. Do not round.) Identify the t-sta'listic. 1.) = |:' (Round to two decimal places as needed.) Approximate the F-value. The F-value is in the range (3) Make a conclusion regarding the hypothesis. (4) the null hypothesis. There (5) sufcient evidence to conclude that the mean credit score of high-income individuals is (a) : (Type an integer or a decimal. Do not round.) 7: Table of Critical t-Values G: Am] ray.- ml ummuauowmmmwmmmu um 1176 L9\" 1978 6314 111\" 15-39. 31121 51557 12131 31.81?) 636.619 2.91] am . 6.966 9.925 mm 2732? 31.999 2353 1152 . 4541 5.341 7453 1.0215 17.924 2.132 7.176 . 3.147 W 5.1% 7.173 8.6.\") 2:015 2571 . 3365 m3: 4.773 5893 W ADE 3930 m 3.781 3.75 I I ' I I mmclsuommmmmmmmn (1) O s (2) O s (3) O 0.05 0.10. O Reject O is not 0 greaterthan O = O = O 0.01 O F-value