Answered: A group of adult males has foot lengths…

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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Question

A group of adult males has foot lengths with a mean of

27.86

cm and a standard deviation of

1.45

cm. Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. Is the adult male foot length of

31.0

cm significantly low or significantly high? Explain.

Significantly low values are

enter your response here

cm or lower.

(Type an integer or a decimal. Do not round.)

Significantly high values are

enter your response here

cm or higher.

(Type an integer or a decimal. Do not round.)

Select the correct choice below and fill in the answer box(es) to complete your choice.

The adult male foot length of

31.0

cm is significantly

high

because it is

greater

than

31.031.0

cm.

(Type an integer or a decimal. Do not round.)

The adult male foot length of

31.0

cm is not significant because it is between

enter your response here

cm and

enter your response here

cm.

(Type integers or decimals. Do not round.)

The adult male foot length of

31.0

cm is significantly

low

because it is

less

than

enter your response here

cm.

(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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