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. Singles Distribution: X~N( , ) Group Distribution: x̄~N( , ) The winning single participant last year was in the 97 th percentile.... how many hours did the winner accumulate over the month?   One of Hellan's friends Dave put in 27.12 hours on the wall. What is the probablity that another individual will beat his time?   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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.

Singles Distribution: X~N( , )

Group Distribution: x̄~N( , )

The winning single participant last year was in the 97 th percentile.... how many hours did the winner accumulate over the month?

 

One of Hellan's friends Dave put in 27.12 hours on the wall. What is the probablity that another individual will beat his time?

 

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 percent of the groups are expected to qualify for the socks?

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