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Name: Mr. Castillo is the owner of the Household Hacks. Recently he observed
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Description: Mr. Castillo is the owner of the Household Hacks. Recently he observed a difference in value of sales between the men and women he employs as sales associates. A sample of 40 days revealed the men sold a mean of 14000 worth of appliances per day with

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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Mr. Castillo is the owner of the Household Hacks. Recently he observed a difference in value of sales between the men and women he employs as sales associates. A sample of 40 days revealed the men sold a mean of 14000 worth of appliances per day with a standard deviation of 2000. For a sample of 50 days, the women sold a mean of 15000 worth of appliances per day with a standard deviation of 2500. At the .05 significance level can Mr. Castillo conclude that the mean amount sold per day is larger for the women?

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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