Assume that men's heights have a distribution that is symmetrical and unimodal, with a mean of70inches and a standard deviation of1.5inches. a. What men's height corresponds to a z-score of1.70?b. What men's height corresponds to a z-score of−1.30? Assume that men's heights have a distribution that is symmetrical and unimodal, with a mean of 70 inches and a standard deviation of 1.5 inches.a. What men's height corresponds to a z-score of 1.70?b. What men's height corresponds to a z-score of – 1.30?a. The men's height that corresponds to a z-score of 1.70 isinches.(Type an integer or a decimal. Do not round.)b. The men's height that corresponds to a Z-score of – 1.30 isinches.(Type an integer or a decimal. Do not round.)

We hava given that, Let X be the men's height from Symmetrical and distribution with mean (μ) = 70…

Answered: Assume that men's heights have 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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Assume that men's heights have a distribution that is symmetrical and unimodal, with a mean of

inches and a standard deviation of

1.5

inches.

a. What men's height corresponds to a z-score of

1.70?

b. What men's height corresponds to a z-score of

−1.30?

Assume that men's heights have a distribution that is symmetrical and unimodal, with a mean of 70 inches and a standard deviation of 1.5 inches.
a. What men's height corresponds to a z-score of 1.70?
b. What men's height corresponds to a z-score of – 1.30?
a. The men's height that corresponds to a z-score of 1.70 is
inches.
(Type an integer or a decimal. Do not round.)
b. The men's height that corresponds to a Z-score of – 1.30 is
inches.
(Type an integer or a decimal. Do not round.)

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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