The mortgage company indicated the mean number of hours worked for each employee on manual processes is at least 1,200 hours. The Mortgage Company conducted a study to determine if this new AI integration improving efficiency in the client experience. Our senior leadership team selected a simple random sample of 10 employees and determined the number of miles each had worked similar amount of hours in the past year. They obtained the following sample data:

1,200; 1,129; 1402; 1,305; 1,920; 1,734; 655; 946; 555; 1,559;

a. State the appropriate null and alternative hypothesis b. Use the test statistic approach with x = 0.05 to test the null hypothesis c. Conduct a test using the p-value d. Considering the result of the test, which of the two types of errors in hypotehsis testing could you have made? e. Why do you suppose the ai integration will be a success or failure based on the data provided?