A simple rаndоm sаmple оf high interest mоrtgаges and a second simple random sample of low-interest mortgages is taken. For the 40 high-interest mortgages, the borrowers had a mean FICO credit score of 594.8 and a standard deviation of 12.2. For the 40 low interest mortgages, the borrowers had a mean FICO credit score of 785.2 and a standard deviation of 16.3.A) Use a 0.01 level of significance to test the claim that the mean FICO score of borrowers with high-interest mortgages is lower than the mean score for borrowers with low-interest mortgages. Does the FICO score appear to affect mortgage rates? (14pts) Perform the following steps: (3pts) Step 1: Requirements (2pts) Step 2: (3pts) Step 3: Test statistic (round to 3 decimals) (3pts) Step 4: P-value (round to 4 decimals) (2pts) Step 5: P-value method (1pt) Step 6: Conclusion: B) Construct a 98% confidence interval for the difference between the mean credit score for borrowers with high interest mortgages and those with low-interest mortgages. (6pts) Perform the following steps: (1pt) Command: (2pts) Information for the command: (1pt) CI: (2pts) Does it appear there is a difference between the two mean credit score for borrowers from the two mortgages? Explain C) (2pts) Are the hypothesis test and the confidence interval giving the same result? Explain