Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Chapter 3, Problem 61SE
Sleep Time of Animals Data at this text's website show the average amount of time animals sleep per day (in hours). The number listed for humans is 8 hours. You may either make a box-plot with technology using the data at this text's website or make a sketch of the boxplot from the
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1- Let A = {A1, A2, ...), in which A, A, = 0, when i j.
a) Is A a π-system? If not, which element(s) should be added to A to become a π-system?
b) Prove that σ(A) consists of the finite or countable unions of elements of A; i.c., A E σ(A) if and
only if there exists finite or countable sequence {n} such that A = U₁An (Hint: Let F be such
class; prove that F is a σ-filed containing A.)
c) Let p ≥ 0 be a sequence of non-negative real numbers with Σip₁ = 1. Using p₁'s, how do you
construct a probability measure on σ(A)? (Hint: use extension theorem.)
2- Construct an example for which P(lim sup A,) = 1 and P(lim inf An) = 0.
In a town with 5000 adults, a sample of 50 is selected using SRSWOR and asked their opinion of a proposed municipal project; 30 are found to favor it and 20 oppose it. If, in fact, the adults of the town were equally divided on the proposal, what would be the probability of observing what has been observed? Approximate using the Binomial distribution. Compare this with the exact probability which is 0.0418.
Chapter 3 Solutions
Introductory Statistics (2nd Edition)
Ch. 3 - Earnings A sociologist says, “Typically, men in...Ch. 3 - Houses A real estate agent claims that all things...Ch. 3 - Age of CEOs (Example) the histogram shows the ages...Ch. 3 - Televisions The histogram shows the number of...Ch. 3 - Billionaires According to Forbes.com, the numbers...Ch. 3 - Billionaires According to Forbes.com, the numbers...Ch. 3 - Paid Vacation Days (Example 2) This list...Ch. 3 - Children of First Ladies This list represents the...Ch. 3 - Ages of Presidents at Inauguration At their...Ch. 3 - Ages of Chief Justices at Installation At their...
Ch. 3 - Weight Loss (Example 3) The table shows Minitab...Ch. 3 - Education of Father and Mother The table shows...Ch. 3 - Surfing College students and surfers Rex Robinson...Ch. 3 - Eating Out College student Jacqueline Loya asked a...Ch. 3 - Real state price (Example) look at the two...Ch. 3 - Dice The histogram contain data with a range of 1...Ch. 3 - Birth Weights (Example 5) The mean birth weigh for...Ch. 3 - Birth Length The mean birth length for U.S....Ch. 3 - Children’s Ages (Example 6) Mrs. Johnson’s...Ch. 3 - Pay Rate in Different Currencies The pay rates for...Ch. 3 - Olympics In the most recent summer Olympics, do...Ch. 3 - Weights Suppose you have a data set with the...Ch. 3 - Brain Size The brain size (in hundreds of...Ch. 3 - Happiness A survey on StatCrunch asked people to...Ch. 3 - Drinkers The number of alcoholic drinks per week...Ch. 3 - Prob. 26SECh. 3 - Violent Crime: West (Example 7) In 2011, the mean...Ch. 3 - Violent Crime: East In 2011, the mean rate of...Ch. 3 - Property Crime (Example 8) In 2011, the mean...Ch. 3 - Property Crime In 2011, the mean property crime...Ch. 3 - Heights and z-Scores The dotplot shows heights of...Ch. 3 - Heights Refer to the dotplot in the previous...Ch. 3 - Unusual IQs (Example 9) Wechsler IQ tests have a...Ch. 3 - Lengths of Pregnancy Distributions of gestation...Ch. 3 - Low-Birth-Weight Babies (Example 10) Babies born...Ch. 3 - Birth Lengths Babies born after 40 weeks gestation...Ch. 3 - Women's Heights Assume that women's heights have a...Ch. 3 - SATs The quantitative portion of the SAT exam has...Ch. 3 - Name two measures of the center of a distribution,...Ch. 3 - Name two measures of the variation of a...Ch. 3 - Pixar Animated Movies (Example 11) The ten...Ch. 3 - DreamWorks Animated Movies The ten top-grossing...Ch. 3 - Pixar Animated Movies Again (Example 12) Find the...Ch. 3 - Dreamworks Animated Movies Find the median and...Ch. 3 - Prob. 45SECh. 3 - Drinks The number of alcoholic drinks per week is...Ch. 3 - Outliers a. In your own words, describe to someone...Ch. 3 - Center and Variation When you are comparing two...Ch. 3 - An Error A dieter recorded the number of calories...Ch. 3 - Baseball Strike In 1994, Major League Baseball...Ch. 3 - Heads The graphs show the circumferences of heads...Ch. 3 - House Prices The graphs show the house prices (in...Ch. 3 - Shoes (Example 14) The histograms show the number...Ch. 3 - Tax Rate A StatCrunch survey asked people what...Ch. 3 - Regional Population Density The figure shows the...Ch. 3 - Property Crime Rates The boxplot shows the...Ch. 3 - City Temperatures The boxplot shows temperatures...Ch. 3 - Brain Size The boxplots show the brain size (in...Ch. 3 - Matching Boxplots and Histograms a. Report the...Ch. 3 - Matching Boxplots and Histograms Match each of the...Ch. 3 - Sleep Time of Animals Data at this text's website...Ch. 3 - BA Percentage The data show the percentage of...Ch. 3 - Tall Buildings The dotplot shows the distribution...Ch. 3 - Passing the Bar Exam The dotplot shows the...Ch. 3 - Exam Scores The five-number summary for a...Ch. 3 - Exam Scores The five-number summary for a...Ch. 3 - Death Row: South (Example 15) The table shows the...Ch. 3 - Death Row: West The table shows the numbers of...Ch. 3 - Head Circumference (Example 16) Following are head...Ch. 3 - Heights of Sons and Dads The data at this text’s...Ch. 3 - Final Exam Grades The data that follow are final...Ch. 3 - Speeding Tickets College students Diane Glover and...Ch. 3 - Heights The following graph shows the heights for...Ch. 3 - Marathon Times The following histogram of marathon...Ch. 3 - Soda Consumption A StatCrunch survey asked people...Ch. 3 - Holiday Spending A StatCrunch survey asked people...Ch. 3 - a. State an approximate value for the mean height...Ch. 3 - Ideal Family In 2012, the General Social Survey...Ch. 3 - For exercises 3.85 through 3.88, construct two...Ch. 3 - For exercises 3.85 through 3.88, construct two...Ch. 3 - For exercises 3.85 through 3.88, construct two...Ch. 3 - 3.79-3.82 construct two sets of numbers with at...Ch. 3 - Population Density Data were recorded for each of...Ch. 3 - Population Increase Data were recorded for each of...Ch. 3 - Prob. 85CRECh. 3 - Eating Out, Again College student Jacqueline Loya...Ch. 3 - Study Hours A group of 50 statistics students, 25...Ch. 3 - Driving Accidents College student Sandy Hudson...Ch. 3 - Exam Scores An exam has a mean of 70 and a...Ch. 3 - Boys’ Heights Three-year-old boys in the United...Ch. 3 - SAT and ACT Scores Quantitative SAT scores have a...Ch. 3 - Children’s Heights Mrs. Diaz has two children: a...Ch. 3 - Students’ Ages Here are the ages of some students...Ch. 3 - House Prices The figure, which is from data taken...
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