Hi! I just need to know what to put into the calculator for each one. Such as the calculations and an explanation as to why.

Prompt: You currently work for a mountaineering company called "Top Out". A group of novice climbers have submitted their application and before you take them out to the climbing wall you need to write up a guide plan. There are 4 parts to the guide plan. Your pall Honnold lets you know that you two can split the load on this report. Select 1 scenario from Safety and 1 from Success to do and Hollold will do the others. Click on the 4 buttons to see the paperwork that needs to be finished and select 2 of them to do.

Safety

Pack Weight

Pack Weight

Because of the remote nature of the climbs, all members of the party must help pack in gear. From previous expeditions, you know that the true mean amount of weight an individual can carry is normally distributed at 34 pounds with a standard deviation of 9 lbs. The party headed up includes 5 people. Calculate the probability that the sample mean weight that the party can carry is less than 25 lbs. If this probability is greater than 17% you will need to hire an additonal guide to help pack gear. Justify whether or not we need an additional guide.

Weather

Weather

With climbing the weather is always a factor. The group had put in a request to climb either 'El Capitan' or 'Old Man's Nose'. If weather permits, you would like to take them to 'El Capitan', but if the weather is sketchy you will take them to 'Old Man's Nose' as it is very sheltered. You have decided that if the probability of wind speeds exceding 16.9 mph is over 18% you will skip going to 'El Capitan'. From the recent weatherman's report and historical records you know that the true mean wind speed is 12 mph with a standard deviation of 5 mph. Question: Which climb should you take them on?

Success

Climb Attempts

Climb Attempts

Based upon the difficulty of the routes and the climbing ability of the group you know that the group on average will be able to attempt the climb 17 times per hour. They have scheduled 6 hours of climbing. You want to give them a conservative estimate of how many attempts they are going to be able to plan on. Crunch the numbers so that you can tell them that there is an 70% likelihood that your group will be able to make at least ________ attempts.

Climb Success

Climb Success

Based upon the difficulty of the routes and the climbing ability you know that the probability that a climber will make it to the top of these routes is 56%. Suppose you can guarantee that every person will have 5 tries on any given wall. What should you report to them that the likelihood of them reaching the top of the route at least 1 time(s) will be?

Preparation: Before you attempt this assignment, read through the requirements and then do some "data explotation" where you look at the various scenarios and determine the ones you wish to attempt. You do not need to report on the data exploration, but rather report on the ones that you have selected.

Guide Paperwork Requirements Requirements

This must be written as a cohesive report. Write it like you were talking to a moderately smart person who had about the level of knowledge of stats as you did before you took this class.

Complete all steps for both scenarios you are reporting on.

1. Identify the distribution.
2. Provide and interpret the values that fully define this distribution.
3. Produce a graphic that helps answer the scenario question.
4. Answer the scenario question.

Bonus(2)

1. What is the famous reference in this scenario.