Introduction to Statistics and Data Analysis

5th Edition

ISBN: 9781305115347

Author: Roxy Peck; Chris Olsen; Jay L. Devore

Publisher: Brooks Cole

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Textbook Question

Chapter 4.1, Problem 2E

The article “Caffeine Content of Drinks” (caffeineinformer.com/the-caffeine-database, retrieved February 22, 2018) gave the following data on caffeine concentration (mg/ounce) for eight top-selling energy drinks:

Chapter 4.1, Problem 2E, The article Caffeine Content of Drinks (caffeineinformer.com/the-caffeine-database, retrieved , example 1

Data set available online

Chapter 4.1, Problem 2E, The article Caffeine Content of Drinks (caffeineinformer.com/the-caffeine-database, retrieved , example 2

a. What is the value of the mean caffeine concentration for this set of top-selling energy drinks?
b. Coca-Cola has 2.9 mg/ounce of caffeine and Pepsi Cola has 3.2 mg/ounce of caffeine. Write a sentence explaining how the caffeine concentration of top-selling energy drinks compares to that of these colas.

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 4.1, Problem 1E

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Chapter 4 Solutions

Introduction to Statistics and Data Analysis

Ch. 4.1 - The Insurance Institute for Highway Safety...Ch. 4.1 - The article Caffeine Content of Drinks...Ch. 4.1 - Consumer Reports Health...Ch. 4.1 - Consumer Reports Health...Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - Each student in a sample of 20 seniors at a...Ch. 4.1 - Prob. 9E Ch. 4.1 - The ministry of Health and Long-Term Care in...

Ch. 4.1 - Houses in California are expensive, especially on...Ch. 4.1 - Consider the following statement: More than 65% of...Ch. 4.1 - A sample consisting of four pieces of luggage was...Ch. 4.1 - Suppose that 10 patients with meningitis received...Ch. 4.1 - A study of the lifetime (in hours) for a certain...Ch. 4.1 - An instructor has graded 19 exam papers submitted...Ch. 4.2 - The following data are costs (in cents) per ounce...Ch. 4.2 - Cost per serving (in cents) for six high-fiber...Ch. 4.2 - Combining the cost-per-serving data for high-fiber...Ch. 4.2 - Prob. 20E Ch. 4.2 - The accompanying data are consistent with summary...Ch. 4.2 - The paper referenced in the previous exercise also...Ch. 4.2 - Prob. 23E Ch. 4.2 - Prob. 24E Ch. 4.2 - The accompanying data on number of minutes used...Ch. 4.2 - Give two sets of five numbers that have the same...Ch. 4.2 - Prob. 27E Ch. 4.2 - The U.S. Department of Transportation reported the...Ch. 4.2 - The Ministry of Health and Long-Term Care in...Ch. 4.2 - In 1997, a woman sued a computer keyboard...Ch. 4.2 - The standard deviation alone does not measure...Ch. 4.3 - Based on a large national sample of working...Ch. 4.3 - Prob. 33E Ch. 4.3 - Prob. 34E Ch. 4.3 - Prob. 35E Ch. 4.3 - Fiber content (in grams per serving) and sugar...Ch. 4.3 - Shown here are the number of auto accidents per...Ch. 4.4 - The average playing time of music albums in a...Ch. 4.4 - In a study investigating the effect of car speed...Ch. 4.4 - Prob. 40E Ch. 4.4 - Mobile homes are tightly constructed for energy...Ch. 4.4 - Prob. 42E Ch. 4.4 - A student took two national aptitude tests. The...Ch. 4.4 - Suppose that your younger sister is applying for...Ch. 4.4 - The report Who Borrows Most? Bachelors Degree...Ch. 4.4 - Prob. 46E Ch. 4.4 - Prob. 47E Ch. 4.4 - Suppose that your statistics professor returned...Ch. 4.4 - Prob. 49E Ch. 4.4 - Suppose that the average reading speed of students...Ch. 4.4 - Prob. 51E Ch. 4.4 - The accompanying table gives the mean and standard...Ch. 4.5 - The authors of the paper Delayed Time to...Ch. 4.5 - The paper Portable Social Groups: Willingness to...Ch. 4 - Prob. 55CR Ch. 4 - Prob. 56CR Ch. 4 - Prob. 57CR Ch. 4 - Prob. 58CR Ch. 4 - Because some homes have selling prices that are...Ch. 4 - Although bats are not known for their eyesight,...Ch. 4 - Prob. 61CR Ch. 4 - Prob. 62CR Ch. 4 - Prob. 63CR Ch. 4 - Prob. 64CR Ch. 4 - Prob. 65CR Ch. 4 - Prob. 66CR Ch. 4 - Prob. 67CR Ch. 4 - Prob. 68CR Ch. 4 - Prob. 69CR Ch. 4 - Prob. 70CR Ch. 4 - Prob. 71CR Ch. 4 - Age at diagnosis for each of 20 patients under...Ch. 4 - Suppose that the distribution of scores on an exam...

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