Answered: refer to elementary statistics 14th ed…

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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refer to elementary statistics 14th ed data set 3 "ANSUR II 2012" on statdisk..org for the following Based on the results of the 1988 survey of U.s Army personnel the mean height of males is 1714.4 mm with standard deviation of 90.01. use the heights of the 4082 males to test the claim that this sample collected in 2012 is from a population with a mean height greater than 1714.4 mm. use a 0.05 significance level. Does it appear that male army personnel were taller in 2012 than in 1988? List the nell and alternative hypothesis, sample and population mean, proportion, standard deviation, test statistic, critical value, p-value, and alpha value.

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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