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Evaluate

Hellen has just started a new years competition for her local climbing gym. There are two categories for this competition: singles and group (18 people). The rules are simple, put in the most hours in one months time and you get a guided tour to climb Ten Sleep canyon. She knows from running this competition over the years that the number of hours climbers at her gym spend training during this competiton is approximately normal and their mean competition hours per month in the gym are 24 hrs with a standard devaition of 6 hrs If someone puts in between 25.5-32.1 hours on the wall they get a Mountain Goat shirt. What percent of the singles competitors is expected to get a shirt? In the group stage this year the winning group was in the 81 th percentile. What was their average time?   The group stage is up for getting Gecko Socks if they also land between 25.5-32.1 hours on the wall on average. What prercent of the groups are expected to qualify for the socks?

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