Answered: The average salary in this city is…

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 average salary in this city is $48,300. Is the average less for single people? 57 randomly selected single people who were surveyed had an average salary of $44,076 and a standard deviation of $16,460. What can be concluded at the αα = 0.05 level of significance?

what numbers would i use for the number, pop mean and sample

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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p-Value Interpretation: If the mean salary of single people is equal to $ ["", "", "", ""] and if another study was done with a new randomly selected collection of 54 single people, then there is a ["", "", "", "", ""] percent chance that the average salary for this new sample would be less than $ ["", "", "", ""] .

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