Answered: Shoreline College and River Valley…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.3: Rules For Addition

Problem 8P

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Problem

Shoreline College and River Valley College are two local colleges. For each college, the distribution of the ages of faculty members is clearly bell-shaped. The ages of faculty members at Shoreline College have a population mean of 42 years and a standard deviation of 8.3 years. The ages of faculty members at River Valley College have a population mean of 58 years and a standard deviation of 4.8 years.

Juan is 24 years old and a faculty member at Shoreline College. Tony is 45 years old and a faculty member at River Valley College.

(a) Find the :-scores of Juan's age as a facuity member at Shoreline College and Tony's age as a faculty member at River Valley
College. Round your answers to two decimal places.
E-score of Juan's age: U
-score of Tony's age: U
(b) Relative to his population, who is the older faculty member?
Choose the best answer based on the =-scores of the two ages.
O Juan
O Tony
is unclear who is the older faculty member relative to his population

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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