7th Edition

ISBN: 9781337372763

Author: BRASE

Publisher: Cengage Learning

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Textbook Question

Chapter 8, Problem 7CR

For Problems 8-12, categorize each problem according to the parameter being estimated: proportion p or mean µ. Then solve the problem.

Archaeology: Excavations The Wind Mountain archaeological site is located in southwestern New Mexico. Wind Mountain was home to an ancient culture of prehistoric Native Americans called Anasa/i. A random sample of excavations at Wind Mountain gave the following depths (in centimeters) from present-day surface grade to the location of significant archaeological artifacts (Source: Mimbres Mogollon Archaeology, by A. Woosley and A. McIntyre, University of New Mexico Press).

85	45	120	80	75	55	65	60
65	95	90	70	75	65	68

Use a calculator with mean and sample standard deviation keys to verify that x ¯ ≈ 74.2 cm and s ≈ 18.3 cm .

Compute a 95% confidence interval for the mean depth µ at which archaeological artifacts from the Wind Mountain excavation site can be found.

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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Chapter 8, Problem 6CR

Chapter 8, Problem 8CR

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Chapter 8 Solutions

UNDERSTANDING BASIC STAT LL BUND >A< F

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Solution Summary: The author explains how to find a 95% confidence interval for the mean of all tree-ring dates from this archaeological site.

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Chapter 8 Solutions