MyLab Statistics with Pearson eText -- Standalone Access Card -- for Intro Stats (5th Edition)

5th Edition

ISBN: 9780134768366

Author: Richard D. De Veaux, Paul F. Velleman, David E. Bock

Publisher: PEARSON

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Chapter 15, Problem 57E

Maze revisited A student resampled the Maze times from Exercise 55 1000 times. The histogram shows the distributions of the means, and a summary of the quantiles is shown below it.

Chapter 15, Problem 57E, Maze revisited A student resampled the Maze times from Exercise 55 1000 times. The histogram shows

a) Find a 99% bootstrap confidence interval for the true mean time it takes to complete the maze.
b) Why is the sampling distribution slightly skewed to the right?
c) How does the skewness affect the confidence interval?
d) What does the confidence interval say about the hypothesis that it takes a minute on average?

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 15, Problem 56E

Chapter 15, Problem 58E

Chapter 15 Solutions

MyLab Statistics with Pearson eText -- Standalone Access Card -- for Intro Stats (5th Edition)

Ch. 15.2 - A research team wants to know if aspirin helps to...Ch. 15.2 - An allergy drug has been tested and found to give...Ch. 15.2 - The new drug is tested and the P-value is 0.0001....Ch. 15.4 - The research team that wants to know if aspirin...Ch. 15.4 - Prob. 5JC Ch. 15.6 - Prob. 6JC Ch. 15.6 - Prob. 7JC Ch. 15.6 - Prob. 8JC Ch. 15 - Better than aspirin? A very large study showed...Ch. 15 - Psychic A friend of yours claims to be psychic....

Ch. 15 - Parameters and hypotheses For each of the...Ch. 15 - Hypotheses and parameters As in Exercise 3, for...Ch. 15 - SECTION 15.2 5. Better than aspirin again?...Ch. 15 - GRE performance A test preparation company claims...Ch. 15 - SECTION 15.3 7. Hispanic origin According to the...Ch. 15 - Empty houses According to the 2010 Census, 11.4%...Ch. 15 - Prob. 9E Ch. 15 - Marriage In 1960, census results indicated that...Ch. 15 - Prob. 11E Ch. 15 - Golf balls The United States Golf Association...Ch. 15 - Prob. 13E Ch. 15 - Prob. 14E Ch. 15 - CHAPTER EXERCISES 15. Hypotheses Write the null...Ch. 15 - More hypotheses Write the null and alternative...Ch. 15 - Negatives After the political ad campaign...Ch. 15 - Dice The seller of a loaded die claims that it...Ch. 15 - Prob. 19E Ch. 15 - Cars A survey investigating whether the proportion...Ch. 15 - Prob. 21E Ch. 15 - Prob. 22E Ch. 15 - Prob. 23E Ch. 15 - Prob. 24E Ch. 15 - Dowsing In a rural area, only about 30% of the...Ch. 15 - Abnormalities In the 1980s, it was generally...Ch. 15 - Prob. 27E Ch. 15 - Educated mothers The National Center for Education...Ch. 15 - Contributions, please II We learned in Chapter 13,...Ch. 15 - Prob. 30E Ch. 15 - Prob. 31E Ch. 15 - Scratch and dent An appliance manufacturer...Ch. 15 - Prob. 33E Ch. 15 - Football 2016 During the first 15 weeks of the...Ch. 15 - WebZine A magazine is considering the launch of an...Ch. 15 - Seeds A garden center wants to store leftover...Ch. 15 - Prob. 37E Ch. 15 - Prob. 38E Ch. 15 - Prob. 39E Ch. 15 - Acid rain A study of the effects of acid rain on...Ch. 15 - Prob. 41E Ch. 15 - TV ads A start-up company is about to market a new...Ch. 15 - Prob. 43E Ch. 15 - Prob. 44E Ch. 15 - Normal temperature again From the measurements of...Ch. 15 - Hot dogs again The nutrition lab in Chapter 14,...Ch. 15 - Prob. 47E Ch. 15 - Computer lab fees again The technology committee...Ch. 15 - More Ruffles Recall from Chapter 14, Exercise 55...Ch. 15 - More Doritos We saw in Chapter 14, Exercise 56...Ch. 15 - Prob. 51E Ch. 15 - Prob. 52E Ch. 15 - Prob. 53E Ch. 15 - Prob. 54E Ch. 15 - Maze Here are the data from the researcher...Ch. 15 - Facebook friends According to...Ch. 15 - Maze revisited A student resampled the Maze times...Ch. 15 - Prob. 58E Ch. 15 - Prob. 59E Ch. 15 - Prob. 60E

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Solution Summary: The author explains the bootstrap confidence interval for the difference between the true mean time taken by the rat to complete the maze.

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Chapter 15 Solutions