Statistics: The Art and Science of Learning from Data (4th Edition)

4th Edition

ISBN: 9780321997838

Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

Publisher: PEARSON

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Chapter 7.2, Problem 24PB

Survey accuracy A study investigating the relationship between age and annual medical expenses randomly samples 100 individuals in Davis, California. It is hoped that the sample will have a similar mean age as the entire population.

a. If the standard deviation of the ages of all individuals in Davis is σ = 15, find the probability that the mean age of the individuals sampled is within two years of the mean age for all individuals in Davis. (Hint: Find the sampling distribution of the sample mean age and use the central limit theorem. You don’t have to know the population mean to answer this, but if it makes it easier, use a value such as µ = 30.)
b. Would the probability be larger, or smaller, if s = 10? Why?

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 7.2, Problem 23PB

Chapter 7.2, Problem 25PB

Chapter 7 Solutions

Statistics: The Art and Science of Learning from Data (4th Edition)

Ch. 7.1 - Simulating the exit poll Simulate an exit poll of...Ch. 7.1 - Simulate condo solicitations A company that is...Ch. 7.1 - Condo sample distribution Consider the sampling...Ch. 7.1 - iPhone apps Let p = 0.25 be the proportion of...Ch. 7.1 - Other scenario for exit poll Refer to Examples 1...Ch. 7.1 - Prob. 6PB Ch. 7.1 - Random variability in baseball A baseball player...Ch. 7.1 - Relative frequency of heads Construct the sampling...Ch. 7.1 - Prob. 9PB Ch. 7.1 - Effect of n on sample proportion The figure...

Ch. 7.1 - Syracuse full-time students Youd like to estimate...Ch. 7.1 - Gender distributions At a university, 60% of the...Ch. 7.1 - Prob. 13PB Ch. 7.1 - Prob. 14PB Ch. 7.2 - Simulate taking midterms Assume that the...Ch. 7.2 - Education of the self-employed According to a...Ch. 7.2 - Rolling one die Let X denote the outcome of...Ch. 7.2 - Playing roulette A roulette wheel in Las Vegas has...Ch. 7.2 - Simulate rolling dice Access the Sampling...Ch. 7.2 - Prob. 20PB Ch. 7.2 - Shared family phone plan A recent personalized...Ch. 7.2 - Dropped from plan previous exercise mentions that...Ch. 7.2 - Restaurant profit? Jans All You Can Eat Restaurant...Ch. 7.2 - Survey accuracy A study investigating the...Ch. 7.2 - Blood pressure Vincenzo Baranello was diagnosed...Ch. 7.2 - Household size According to the 2010 U.S. census...Ch. 7.2 - Average monthly sales A large corporation employs...Ch. 7.2 - Prob. 28PB Ch. 7.2 - CLT for skewed population Access the Sampling...Ch. 7.2 - Prob. 30PB Ch. 7 - Practicing the Basics Exam performance An exam...Ch. 7 - Blue eyes According to a Boston Globe story, only...Ch. 7 - Prob. 33CP Ch. 7 - Prob. 34CP Ch. 7 - Prob. 35CP Ch. 7 - Returning shipment Refer to the previous exercise,...Ch. 7 - Prob. 37CP Ch. 7 - Home runs Based on data from the 2010 Major League...Ch. 7 - Physicians assistants The 2006 AAPA survey of the...Ch. 7 - Bank machine withdrawals An executive in an...Ch. 7 - PDI The scores on the Psychomotor Development...Ch. 7 - Number of sex partners According to recent General...Ch. 7 - Prob. 43CP Ch. 7 - Too little or too much cola? Refer to the previous...Ch. 7 - Prob. 45CP Ch. 7 - Prob. 46CP Ch. 7 - Prob. 47CP Ch. 7 - Purpose of sampling distribution Youd like to...Ch. 7 - Prob. 49CP Ch. 7 - Prob. 50CP Ch. 7 - Prob. 51CP Ch. 7 - Prob. 52CP Ch. 7 - Prob. 53CP Ch. 7 - Winning at roulette Part b of Example 7 used the...Ch. 7 - True or false As the sample size increases, the...Ch. 7 - Prob. 56CP Ch. 7 - Prob. 57CP Ch. 7 - Prob. 58CP Ch. 7 - Prob. 59CP Ch. 7 - Prob. 60CP Ch. 7 - Prob. 61CP Ch. 7 - Prob. 62CP Ch. 7 - Prob. 63CP

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Chapter 7 Solutions