Refer to Problem 7.3. The head of the Mariposa County Accounting Department wants to establish a standard regarding the length of time that employees can expect to wait to receive reimbursement for professional expenses. She wants to publish a standard that states the number of days it takes the department to process 98% of the claims filed. Help the department head find that standard.
According to records kept by Mariposa County, the average (mean) amount of time that it takes for employees to be reimbursed for professional expenses incurred in service to the county is 36 days, with a standard deviation of 5 days. The distribution is normal. About 2 months ago, Latisha MacNeil attended a training conference for her job in the County Recreation Department. She filed for reimbursement of expenses that she incurred at the conference 42 days ago, but she has not received payment. What is the probability of receiving reimbursement within 42 days of filing? After 42 days? At this point, should Ms. MacNeil be apprehensive about receiving reimbursement?