10th Edition

ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

Concept explainers

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…

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Textbook Question

Chapter 16.3, Problem 58E

In Exercises 16.54-16.59, use. the technology of your choice to

a. conduct a one-way ANOVA test on the data.
b. interpret your results from part (a).
c. decide whether presuming that the assumptions of normal populations and equal population standard deviations are met is reasonable.

16.58 Artificial Teeth: Wear* In a study by J. Zeng et ah, three materials for making artificial teeth—Endura, Duradent_T and Duracross—were tested for wear. Their results were published as the paper “In Vitro Wear Resistance of Three Types of Composite Resin Denture Teeth” (Journal of Prosthetic Density, Vol. 94, Issue 5, pp. 453-457). Using a machine that simulated grinding by two right first molars at 60 strokes per minute for a total of 50,000 strokes, the researchers measured the volume of material worn away, in cubic millimeters. Six pairs of teeth were tested for each material. The data on the WeissStats site are based on the results obtained by the researchers. At the 5% significance level, do the data provide sufficient evidence to conclude that there is a difference in mean wear among the three materials?

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 16.3, Problem 57E

Chapter 16.3, Problem 59E

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Chapter 16 Solutions

Introductory Statistics (10th Edition)

Ch. 16.1 - How do we identify an F-distribution and its...Ch. 16.1 - How many degrees of freedom does an F-curve have?...Ch. 16.1 - What symbol is used to denote the F-value having...Ch. 16.1 - Using the F-notation, identify the F-value having...Ch. 16.1 - An F-curve has df = (12, 7). What is the number of...Ch. 16.1 - An F-curve has df = (8, 19). What is the number of...Ch. 16.1 - In Exercises 16.716.10, use Table VIII in Appendix...Ch. 16.1 - Prob. 8E Ch. 16.1 - Prob. 9E Ch. 16.1 - Prob. 10E

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Solution Summary: The author concludes that there is a significant difference between the mean wear among three materials for making artificial teeth

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