Answered: Archeologists excavating at a Viking…

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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2. Archeologists excavating at a Viking site in Newfoundland have determined that the age of the artifacts they have discovered is normally distributed with a mean of 1000 years. Ninety-five percent of the artifacts are between 900 and 1100 years old. a) What proportion of the artifacts is between 940 and 980 years old? b) One archeologist is particularly interested in collecting the oldest 5% of the artifacts. How old does an artifact have to be to fit in this collection? c) The age of artifacts found at a neighbouring site is also normally distributed, with a standard deviation of 60, but the artifacts at this second site are older, on average, than those at the first site. In fact, only 33% of the artifacts at the first site are older than the mean age of artifacts at the second site. What percentage of artifacts at the second site are less than 1200 years old? 2. a) .2293 b) 1083.93 years old c) 99.85%

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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