HW Problem 42. (5 pts) The number of overdue books on a given day at the Geauga County public library system is subject to a great deal of variability. Historically the mean number of overdue books per day has been 247 with a variance of 6691.24 (i.e. a standard deviation of 81.8). The library is embarked on a program to reduce this variability and they want to see if it is working. They take a random sample of 15 days and find a sample mean number of overdue books per day of 230 with a sample standard deviation of 70 books. At the . 10 level of significance, has the daily variance of overdue books been reduced below the historical average of 6691.24? List and clearly label all eight steps