### Study of Hiking Times in the Grand CanyonA study of the time it takes for a hiker to travel to the bottom of the Grand Canyon and back to the top reveals the following:- **Mean Time:** 10 hours- **Standard Deviation:** 2 hours**Objective:** If 9 hikers are randomly selected, determine the probability that their mean hiking time is less than 9 hours.**Probability Equation:**\[ P(x < 9 \text{ hours}) = P(z < \) \]\[ z = \text{___ (fill in blank with calculated value using the formula)} \]### Instructions:1. **Calculate the Z-score:** Use the formula for the z-score to find how many standard deviations 9 hours is from the mean. Remember that with a sample of 9 hikers, the standard deviation must be adjusted.2. **Shade the Probability Region:** After calculating the z-score and rounding it to one decimal place: - Select "Left of a value" in the shading tool. - Use the arrows to adjust the shaded area on the graph appropriately.### Visualization:- **Graph Explanation:** The graph displayed is a normal distribution curve. The x-axis represents z-scores ranging from -4 to 4. The area shaded in blue represents the probability of the event where the mean hiking time is less than 9 hours. The normal curve visually demonstrates the likelihood of this occurrence.By understanding this procedure, hikers and researchers alike can better comprehend the dynamics of hiking times in a challenging environment like the Grand Canyon.

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A study of the amount of time it takes a hiker to hike to the bottom of the Grand Canyon ane back to the top shows that the mean is 10 hours and the standard deviation is 2 hours. If 9 hikers are randomly selected, find the probability that their mean hiking time is less than hours. P(x < 9 hours) =F %3D (z <

A study of the amount of time it takes a hiker to hike to the bottom of the Grand Canyon ane back to the top shows that the mean is 10 hours and the standard deviation is 2 hours. If 9 hikers are randomly selected, find the probability that their mean hiking time is less than hours. P(x < 9 hours) =F %3D (z <

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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