Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package

4th Edition

ISBN: 9780321869852

Author: Richard D. De Veaux

Publisher: PEARSON

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A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

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Textbook Question

Chapter 5, Problem 4E

Placement exams An incoming freshman took her college’s placement exams in French and mathematics. In French, she scored 82 and in math 86. The overall results on the French exam had a mean of 72 and a standard deviation of 8, while the mean math score was 68, with a standard deviation of 12. On which exam did she do better compared with the other freshmen?

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 5, Problem 3E

Chapter 5, Problem 5E

Chapter 5 Solutions

Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package

Ch. 5.1 - Your statistics teacher has announced that the...Ch. 5.2 - Prob. 2JC Ch. 5.2 - Prob. 3JC Ch. 5.3 - As a group, the Dutch are among the tallest people...Ch. 5.3 - Prob. 5JC Ch. 5 - Stats test The mean score on the Stats exam was 75...Ch. 5 - Prob. 2E Ch. 5 - Temperatures A towns January high temperatures...Ch. 5 - Placement exams An incoming freshman took her...Ch. 5 - Shipments A company selling clothing on the...

Ch. 5 - Hotline A companys customer service hotline...Ch. 5 - Guzzlers? Environmental Protection Agency (EPA)...Ch. 5 - Prob. 8E Ch. 5 - Normal cattle The Virginia Cooperative Extension...Ch. 5 - Prob. 10E Ch. 5 - Prob. 11E Ch. 5 - Prob. 12E Ch. 5 - Payroll Here are the summary statistics for the...Ch. 5 - Hams A specialty foods company sells gourmet hams...Ch. 5 - Prob. 15E Ch. 5 - Prob. 16E Ch. 5 - Prob. 17E Ch. 5 - Prob. 18E Ch. 5 - Prob. 19E Ch. 5 - Windy In the last chapter, we looked at three...Ch. 5 - Prob. 21E Ch. 5 - Combining scores again The first Stat exam had a...Ch. 5 - Final exams Anna, a language major, took final...Ch. 5 - Prob. 24E Ch. 5 - Prob. 25E Ch. 5 - Car speeds 100 John Beale of Stanford, California,...Ch. 5 - Prob. 27E Ch. 5 - Prob. 28E Ch. 5 - Prob. 29E Ch. 5 - Prob. 30E Ch. 5 - Prob. 31E Ch. 5 - Prob. 32E Ch. 5 - Prob. 33E Ch. 5 - Prob. 34E Ch. 5 - Trees A forester measured 27 of the trees in a...Ch. 5 - Rivets A company that manufactures rivets believes...Ch. 5 - Prob. 37E Ch. 5 - Prob. 38E Ch. 5 - 39. Winter Olympics 2010 downhill Fifty-nine men...Ch. 5 - 40. Check the model The mean of the 100 car speeds...Ch. 5 - Prob. 41E Ch. 5 - Prob. 42E Ch. 5 - Prob. 43E Ch. 5 - 44. More IQs In the Normal model N(l00, 16) from...Ch. 5 - Prob. 45E Ch. 5 - Prob. 46E Ch. 5 - Cholesterol Assume the cholesterol levels of adult...Ch. 5 - Tires A tire manufacturer believes that the...Ch. 5 - Kindergarten Companies that design furniture for...Ch. 5 - Prob. 50E Ch. 5 - Eggs Hens usually begin laying eggs when they are...Ch. 5 - Tomatoes Agricultural scientists are working on...

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Solution Summary: The author explains that the freshman scored 82 and 86 in French and Math, respectively. The z-score of the student in Math is higher than the one in the French examination.

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