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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Textbook Question

Chapter 18, Problem 17E

Meal plan After surveying students at Dartmouth College, a campus organization calculated that a 95% confidence interval for the mean cost of food for one term (of three in the Dartmouth trimester calendar) is ($1372, $1562). Now the organization is trying to write its report and is considering the following interpretations. Comment on each.

a) 95% of all students pay between $1372 and $1562 for food.
b) 95% of the sampled students paid between $1372 and $1562.
c) We’re 95% sure that students in this sample averaged between $1372 and $1562 for food.
d) 95% of all samples of students will have average food costs between $1372 and $1562.
e) We’re 95% sure that the average amount all students pay is between $1372 and $1562.

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 18, Problem 16E

Chapter 18, Problem 18E

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Chapter 18 Solutions

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

Ch. 18.2 - Every 10 years, the United States takes a census....Ch. 18.2 - Prob. 2JC Ch. 18.2 - Prob. 3JC Ch. 18.2 - Every 10 years, the United States takes a census....Ch. 18.2 - Prob. 5JC Ch. 18.2 - Prob. 6JC Ch. 18 - Salmon A specialty food company sells whole King...Ch. 18 - LSAT The LSAT (a test taken for law school...Ch. 18 - Prob. 3E Ch. 18 - t-models, part II Using the t tables, software, or...

Ch. 18 - t-models, part III Describe how the shape, center,...Ch. 18 - Prob. 6E Ch. 18 - Prob. 7E Ch. 18 - Home sales again In the previous exercise, you...Ch. 18 - Prob. 9E Ch. 18 - Prob. 10E Ch. 18 - Prob. 11E Ch. 18 - Prob. 12E Ch. 18 - Prob. 13E Ch. 18 - Prob. 14E Ch. 18 - Cattle Livestock are given a special feed...Ch. 18 - Prob. 16E Ch. 18 - Meal plan After surveying students at Dartmouth...Ch. 18 - Prob. 18E Ch. 18 - Prob. 19E Ch. 18 - Prob. 20E Ch. 18 - Prob. 21E Ch. 18 - Credit card charges A credit card company takes a...Ch. 18 - 23. Normal temperature The researcher described in...Ch. 18 - Parking Hoping to lure more shoppers downtown, a...Ch. 18 - 25. Normal temperatures, part II Consider again...Ch. 18 - 26. Parking II Suppose that, for budget planning...Ch. 18 - Speed of light In 1882, Michelson measured the...Ch. 18 - Prob. 28E Ch. 18 - Prob. 29E Ch. 18 - Prob. 30E Ch. 18 - Prob. 31E Ch. 18 - Prob. 32E Ch. 18 - Prob. 33E Ch. 18 - Golf balls The United States Golf Association...Ch. 18 - Prob. 35E Ch. 18 - Computer lab fees The technology committee has...Ch. 18 - Marriage In 1960, census results indicated that...Ch. 18 - Prob. 38E Ch. 18 - Prob. 39E Ch. 18 - Prob. 40E Ch. 18 - Prob. 41E Ch. 18 - Prob. 42E Ch. 18 - Prob. 43E Ch. 18 - 44. Yogurt Consumer Reports tested 11 brands of...Ch. 18 - 45. Maze Psychology experiments sometimes involve...Ch. 18 - Prob. 46E Ch. 18 - 47. Driving distance 2011 How far do professional...Ch. 18 - Prob. 48E

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Solution Summary: The author explains that the 95% confidence interval for the mean cost of food for one term is (1372, 1562), and the exact spending of each student is already known.

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