A lakefront resort is planning for its summer busy season. It wishes to estimate with 95% confidence the average number of nights each guest will stay in a single visit. Using a sample of guests who stayed last year, the average number of nights per guest is calculated at 5 nights. The standard deviation of the sample is 1.5 nights. The size of the sample used is 120 guests, and the resort desires a precision of plus or minus 0.5 nights.
Within which range listed below can the resort expect with 95% confidence for the true population mean to fall?