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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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How do you solve this? It relates to standard deviation and using a z-table but I need to understand the steps needed to get the proper solution

Suppose that the distribution of heart rates for medium-sized dogs is Normally
distributed with mean 115 beats per minute and standard deviation 18 beats per minute.
Stacy takes her medium-sized dog, Scooter, to the veterinarian for a wellness check and
learns that Scooter's heart rate is 126 beats per minute. Approximately what percentage
of medium-sized dogs have a heart rate that is lower than Scooter's?
A) 72.58%.
B) –60%.
C) 99.4%.
D) 60%.
E) 27.42%.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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