13th Edition

ISBN: 9781337094399

Author: Cochran

Publisher: IACCENGAGE

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Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative p…

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Textbook Question

Chapter 13, Problem 40SE

A research firm tests the miles-per-gallon characteristics of three brands of gasoline. Because of different gasoline performance characteristics in different brands of automobiles, five brands of automobiles are selected and treated as blocks in the experiment; that is, each brand of automobile is tested with each type of gasoline. The results of the experiment (in miles per gallon) follow.

Chapter 13, Problem 40SE, A research firm tests the miles-per-gallon characteristics of three brands of gasoline. Because of

a. At α = .05, is there a significant difference in the mean miles-per-gallon characteristics of the three brands of gasoline?

b. Analyze the experimental data using the ANOVA procedure for completely randomized designs. Compare your findings with those obtained in part (a). What is the advantage of attempting to remove the block effect?

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 + ...

Expert Solution & Answer

Chapter 13 Solutions

CENGAGENOW FOR ANDERSON/SWEENEY/WILLIAM

Ch. 13.2 - The following data are from a completely...Ch. 13.2 - In a completely randomized design, seven...Ch. 13.2 - Refer to exercise 2. a. what hypotheses are...Ch. 13.2 - In an experiment designed to test the output...Ch. 13.2 - In a completely randomized design, 12 experimental...Ch. 13.2 - Develop the analysis of variance computations for...Ch. 13.2 - Three different methods for assembling a product...Ch. 13.2 - Refer to the NCP data in Table 13.4. Set up the...Ch. 13.2 - To study the effect of temperature on yield in a...Ch. 13.2 - Auditors must make judgments about various aspects...

Ch. 13.2 - Four different paints are advertised as having the...Ch. 13.2 - The Consumer Reports Restaurant Customer...Ch. 13.3 - The following data arc from a completely...Ch. 13.3 - The following data are from a completely...Ch. 13.3 - To test whether the mean time needed to mix a...Ch. 13.3 - Refer to exercise 15. Use Fishers LSD procedure to...Ch. 13.3 - The following data are from an experiment designed...Ch. 13.3 - To lest for any significant difference in the...Ch. 13.3 - Refer to exercise 18. Use the Bonferroni...Ch. 13.3 - The International League of Triple-A minor league...Ch. 13.4 - Consider the experimental results for the...Ch. 13.4 - The following data were obtained for a randomized...Ch. 13.4 - An experiment has been conducted for four...Ch. 13.4 - An automobile dealer conducted a test to determine...Ch. 13.4 - The price drivers pay for gasoline often varies a...Ch. 13.4 - The Scholastic Aptitude Test (SAT) contains three...Ch. 13.4 - A study reported in the Journal of the American...Ch. 13.5 - A factorial experiment involving two levels of...Ch. 13.5 - The calculations for a factorial experiment...Ch. 13.5 - A mail-order catalog firm designed a factorial...Ch. 13.5 - An amusement park studied methods for decreasing...Ch. 13.5 - As part of a study designed to compare hybrid and...Ch. 13.5 - A study reported in The Accounting Review examined...Ch. 13 - In a completely randomized experimental design,...Ch. 13 - A study reported in the Journal of Small Business...Ch. 13 - The U.S. Environmental Protection Agency (EPA)...Ch. 13 - The following data show the percentage of 17- to...Ch. 13 - Prob. 38SE Ch. 13 - In a study conducted to investigate browsing...Ch. 13 - A research firm tests the miles-per-gallon...Ch. 13 - The compact car market in the United States is...Ch. 13 - Prob. 42SE Ch. 13 - A factorial experiment was designed to test for...Ch. 13 - A manufacturing company designed a factorial...Ch. 13 - Wentworth Medical Center As part of a long-term...Ch. 13 - Compensation for Sales Professionals Suppose that...

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Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?

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