The Warrenville Empowerment Center has begun to track how many days of employment counseling its clients receive. The center’s intern, Amanda Strom, finds that the average client receives 17 days of counseling with a standard deviation of 3.1 days (the data are normally distributed). The center’s director has become more concerned about managing costs; so she asks Amanda to generate some information from these data. Because the director wonders if a target of 15 or fewer days of counseling is realistic, she asks Amanda to determine what percentage of clients receive 15 or fewer days of counseling. The director is especially concerned about clients needing 25 or more days of counseling and wonders what percentage of the current client base fits this profile. What should Amanda tell the director after analyzing the data?
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