Answered: Due to random variations in the…

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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Due to random variations in the operation of an automatic coffee machine, not every cop is filled with the same amount of coffee. Assume that mean amount of coffee dispense is 9 ounces and a standard deviation is 0.6 ounce. Use the 68-95-99.7 rule to complete the following. a. What percent of the cup should have less than 9 ounces of coffee? b. What percent of the Cups should have less than 8.4 ounces of coffee? Approximately what percent of the cups should have less than 9 ounces? (Type an integer or a decimal) Approximately what percent of Cups should have 8.4 ounces. (Type an integer or a decimal)

Section 14.4- The Normal Distribution
The normal distribution (normal curve) is a way to study data using the information you
.ave learned about. A normal distribution is a bell shaped curve that is symmetric with
respect to the mean. A normal distribution usually applies to a whole population, not a
sample, therefore the mean is now called u (mu).
34%
34%
1158
-30
-351
2.35%
-20
-2
13.5%
-10
1159
μ
M
68%
95%
99.7%
13.5%
+10
SD
+20
2.35%
+30
SD

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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