1. Sleeping Times of Medical Residents: The average time spent sleeping (in hours) for a group of medicalresidents at a hospital can be approximated by a normal distribution, with a mean of 6.1 hours and astandard deviation of 1.0 hour.a. What is the shortest time spent sleeping that would still place a resident in the top 5% of sleeping times? 1. Sleeping Times of Medical Residents: The average time spent sleeping (in hours) for a group of medicalresidents at a hospital can be approximated by a normal distribution, with a mean of 6.1 hours and astandard deviation of 1.0 hour.a. What is the shortest time spent sleeping that would still place a resident in the top 5% of sleeping times?

Given: x: the shortest time spent sleeping μ=6.1σ=1.0

Answered: 1. Sleeping Times of Medical Residents:…

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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1. Sleeping Times of Medical Residents: The average time spent sleeping (in hours) for a group of medical
residents at a hospital can be approximated by a normal distribution, with a mean of 6.1 hours and a
standard deviation of 1.0 hour.
a. What is the shortest time spent sleeping that would still place a resident in the top 5% of sleeping times?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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