Bundle: Introduction to Statistics and Data Analysis, 5th + WebAssign Printed Access Card: Peck/Olsen/Devore. 5th Edition, Single-Term

5th Edition

ISBN: 9781305620711

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

Publisher: Cengage Learning

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Textbook Question

Chapter 4.4, Problem 38E

The average playing time of music albums in a large collection is 35 minutes, and the standard deviation is 5 minutes.

a. What value is 1 standard deviation above the mean? 1 standard deviation below the mean? What values are 2 standard deviations away from the mean? (Hint: See Example 4.14.)
b. Without assuming anything about the distribution of times, at least what percentage of the times are between 25 and 45 minutes? (Hint: See Example 4.15.)
c. Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 20 minutes or greater than 50 minutes?
d. Assuming that the distribution of times is approximately normal, about what percentage of times are between 25 and 45 minutes? less than 20 minutes or greater than 50 minutes? less than 20 minutes?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 4 Solutions

Bundle: Introduction to Statistics and Data Analysis, 5th + WebAssign Printed Access Card: Peck/Olsen/Devore. 5th Edition, Single-Term

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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Solution Summary: The author calculates the mean playing time of the music albums in a large collection is 35 minutes with the corresponding standard deviation of 5 minutes.

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