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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Textbook Question

Chapter 8.3, Problem 29PB

Females’ ideal number of children The 2012 General Social Survey asked, “What do you think is the ideal number of children for a family to have?” The 590 females who gave a numeric response from 0 to 6 had a median of 2, mean of 2.56, and standard deviation of 0.84.

a. What is the point estimate of the population mean?
b. Find the standard error of the sample mean.
c. The 95% confidence interval is (2.49, 2.62). Interpret.
d. Is it plausible that the population mean µ = 2? Explain.

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 8.2, Problem 28PB

Chapter 8.3, Problem 30PB

Chapter 8 Solutions

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

Ch. 8.1 - Health care A study dealing with health care...Ch. 8.1 - Video on demand A recent study from Nielsen...Ch. 8.1 - Projecting winning candidate News coverage during...Ch. 8.1 - Believe in hell? Using the General Social Survey...Ch. 8.1 - Government spying In 2014, news reports worldwide...Ch. 8.1 - Game apps The Google Play app store for...Ch. 8.1 - Nutrient effect on growth rate Researchers are...Ch. 8.1 - Believe in heaven? When a GSS asked 1326 subjects,...Ch. 8.1 - Feel lonely often? The GSS has asked On how many...Ch. 8.1 - CI for loneliness Refer to the previous exercise....

Ch. 8.2 - Putin A Gallup poll of 2000 Russians taken between...Ch. 8.2 - Flu shot In a clinical study (the same as...Ch. 8.2 - How green are you? When the 2000 GSS asked...Ch. 8.2 - Make industry help environment? When the 2006 GSS...Ch. 8.2 - Favor death penalty In the 2012 General Social...Ch. 8.2 - Oppose death penalty Refer to the previous...Ch. 8.2 - Stem cell research A Harris poll of a random...Ch. 8.2 - z-score and confidence level Which z-score is used...Ch. 8.2 - Believe in ghosts A Harris poll of a random sample...Ch. 8.2 - Stem cell research and religion In Exercise 8.18,...Ch. 8.2 - Fear of breast cancer A recent survey of 1000...Ch. 8.2 - Chicken breast In a 2014 Consumer Reports article...Ch. 8.2 - Same-sex marriage A national survey by the Pew...Ch. 8.2 - Exit poll predictions A national television...Ch. 8.2 - Exit poll with smaller sample In the previous...Ch. 8.2 - Simulating confidence intervals Repeat the...Ch. 8.2 - Simulating confidence intervals with poor coverage...Ch. 8.3 - Females ideal number of children The 2012 General...Ch. 8.3 - Males ideal number of children Refer to the...Ch. 8.3 - Using t-table Using Table B, the web app, software...Ch. 8.3 - Anorexia in teenage girls A study6 compared...Ch. 8.3 - Talk time on smartphones One feature smartphone...Ch. 8.3 - Heights of seedlings Exercise 8.7 reported heights...Ch. 8.3 - Buy it now Example 6 mentioned closing prices for...Ch. 8.3 - Time spent on e-mail When the GSS asked n = 1050...Ch. 8.3 - Grandmas using e-mail For the question about...Ch. 8.3 - Prob. 38PB Ch. 8.3 - Prob. 39PB Ch. 8.3 - Political views The General Social Survey asks...Ch. 8.3 - Prob. 41PB Ch. 8.3 - Prob. 42PB Ch. 8.3 - Effect of confidence level Find the margin of...Ch. 8.3 - Prob. 44PB Ch. 8.3 - Number of children For the question, How many...Ch. 8.3 - Prob. 46PB Ch. 8.4 - South Africa study The researcher planning the...Ch. 8.4 - Binge drinkers A study at the Harvard School of...Ch. 8.4 - Prob. 49PB Ch. 8.4 - Prob. 50PB Ch. 8.4 - Prob. 51PB Ch. 8.4 - Farm size An estimate is needed of the mean...Ch. 8.4 - Prob. 53PB Ch. 8.4 - Prob. 54PB Ch. 8.4 - Prob. 55PB Ch. 8.4 - Prob. 56PB Ch. 8.4 - Prob. 57PB Ch. 8.4 - Prob. 58PB Ch. 8.5 - Why bootstrap? Explain the purpose of using the...Ch. 8.5 - Estimating variability Refer to Example 11 about...Ch. 8.5 - Bootstrap interval for the mean In 2014, the...Ch. 8.5 - Prob. 62PB Ch. 8 - Unemployed college grads The U.S Bureau of the...Ch. 8 - Prob. 64CP Ch. 8 - Prob. 65CP Ch. 8 - Born again A poll of a random sample of n = 2000...Ch. 8 - Life after death The variable POSTLIFE in the 2012...Ch. 8 - Prob. 68CP Ch. 8 - Prob. 69CP Ch. 8 - Prob. 70CP Ch. 8 - Prob. 71CP Ch. 8 - Wife supporting husband Consider the statement...Ch. 8 - Legalize marijuana? The General Social Survey has...Ch. 8 - Prob. 74CP Ch. 8 - Streaming A Harris Poll of 2300 U.S. adults...Ch. 8 - Prob. 76CP Ch. 8 - Prob. 77CP Ch. 8 - Grandpas using e-mail When the GSS asked in 2012,...Ch. 8 - Prob. 79CP Ch. 8 - Prob. 80CP Ch. 8 - Fuel efficiency The government website...Ch. 8 - Prob. 82CP Ch. 8 - Prob. 83CP Ch. 8 - Prob. 84CP Ch. 8 - Prob. 85CP Ch. 8 - Prob. 86CP Ch. 8 - Prob. 87CP Ch. 8 - Revisiting mountain bikes Use the Mountain Bike...Ch. 8 - Prob. 89CP Ch. 8 - Prob. 90CP Ch. 8 - Prob. 91CP Ch. 8 - Prob. 92CP Ch. 8 - Working mother In response to the statement on a...Ch. 8 - Miami spring break For a trip to Miami, Florida,...Ch. 8 - Prob. 95CP Ch. 8 - Prob. 96CP Ch. 8 - Prob. 97CP Ch. 8 - Prob. 98CP Ch. 8 - Prob. 99CP Ch. 8 - Prob. 100CP Ch. 8 - Kicking accuracy A football coach decides to...Ch. 8 - Prob. 103CP Ch. 8 - Prob. 104CP Ch. 8 - Prob. 106CP Ch. 8 - Width of a confidence interval Why are confidence...Ch. 8 - Prob. 108CP Ch. 8 - Prob. 109CP Ch. 8 - Prob. 110CP Ch. 8 - Prob. 111CP Ch. 8 - Prob. 112CP Ch. 8 - Prob. 113CP Ch. 8 - Prob. 114CP Ch. 8 - Prob. 115CP Ch. 8 - Prob. 116CP Ch. 8 - Prob. 117CP Ch. 8 - Prob. 118CP Ch. 8 - Prob. 119CP Ch. 8 - Prob. 120CP Ch. 8 - Prob. 121CP Ch. 8 - Prob. 122CP Ch. 8 - Prob. 123CP Ch. 8 - Why called degrees of freedom? You know the sample...Ch. 8 - Prob. 125CP Ch. 8 - Prob. 126CP Ch. 8 - Median as point estimate When the population...

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