Answered: It is found that the average amount of…

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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It is found that the average amount of hours that a 10-year old child sleeps per night is normally distributed, with a mean of 9.75 hours and a standard deviation of 0.65 hours.

Round standard scores to 2 decimal places. Round probabilities to 3 decimal places.

What is the probability that a randomly selected 10-year old child sleeps more than 10.25 hours per night?

State the standard score:

State the probability:

The 9% of children who sleep the most sleep more than how many hours?

State the standard score:

State the age, rounded to 1 decimal place:

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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