The monthly salaries of employees at a company are normally distributed with a mean of $5000 and a standard deviation of $1000. What percentage of employees earn between $4000 and $6000 per month?The weights of apples in a certain orchard follow a normal distribution with a mean of 150 grams and a standard deviation of 20 grams. If a random sample of 25 apples is selected, what is the probability that their average weight is less than 155 grams?The heights of a population of adult females follow a normal distribution with a mean of 65 inches and a standard deviation of 3 inches. If a woman is selected at random from this population, what is the probability that she is shorter than 60 inches?

Mean()=5000standard deviation()=1000

Answered: The monthly salaries of employees at a…

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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The monthly salaries of employees at a company are normally distributed with a mean of $5000 and a standard deviation of $1000. What percentage of employees earn between $4000 and $6000 per month?
The weights of apples in a certain orchard follow a normal distribution with a mean of 150 grams and a standard deviation of 20 grams. If a random sample of 25 apples is selected, what is the probability that their average weight is less than 155 grams?
The heights of a population of adult females follow a normal distribution with a mean of 65 inches and a standard deviation of 3 inches. If a woman is selected at random from this population, what is the probability that she is shorter than 60 inches?

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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