5. A company that is selling database management optimization software contacts you to pitch its product. The representative claims that the memory management software will reduce page fault rates for your system. She offers you a 30-day free trial of this software. Before you install it, however, you decide to first determine a baseline for your system. At specific times of the day, you sample and record the page fault rate of your system (using the system’s diagnostic software). You do the same after the software has been installed. How much of an average performance improvement has the new software provided? (Hint: Use the harmonic mean.)

The fault rates and times of day are shown in the table below.

Time Fault Rate Before Fault Rate After 02:00–03:00 35% 45%

10:00–11:00 42% 38%

13:00–14:00 12% 10%

18:00–19:00 20% 22%