INTRODUCTORY STATISTICS (LOOSELEAF)
3rd Edition
ISBN: 9780135163146
Author: Gould
Publisher: PEARSON
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Textbook Question
Chapter 2, Problem 16SE
Triglycerides The histograms show triglyceride levels for 87 men and 99 women. Triglycerides are a form of fat found in blood.
a. Compare the distributions of triglyceride levels for men and women. (Be sure to compare the shapes, the centers, and the spreads.)
b. Triglyceride levels under 150 are good; levels above 500 are very high and may be a health concern. Which group seems to have better triglyceride levels? Explain. (Source: NHANES)
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(a+b)
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state without proof the uniqueness theorm
of probability function suppose thatPandQ
are probability measures defined on the
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6. Show that
1{AU B} = max{1{A}, I{B}} = I{A} + I{B} - I{A} I{B};
I{AB} = min{I{A}, I{B}} = I{A} I{B};
I{A A B} = I{A} + I{B}-21{A} I {B} = (I{A} - I{B})².
Theorem 3.5 Suppose that P and Q are probability measures defined on the same
probability space (2, F), and that F is generated by a л-system A. If P(A) = Q(A)
for all A = A, then P = Q, i.e., P(A) = Q(A) for all A = F.
Chapter 2 Solutions
INTRODUCTORY STATISTICS (LOOSELEAF)
Ch. 2 - Pulse Rates The dotplot shown is for resting pulse...Ch. 2 - Glucose A dotplot of the glucose readings from 132...Ch. 2 - Pulse Rates The histogram shown is for pulse rates...Ch. 2 - Fast Food Calories The histogram shown is for...Ch. 2 - Pulse Rates (Example 1) The resting pulse rates...Ch. 2 - Post Office Customers A post office branch...Ch. 2 - Cereals The following dotplots show the number of...Ch. 2 - Coins’ Weights The weights of coins (in grams)...Ch. 2 - Sleep (Example 2) An instructor asks a class of...Ch. 2 - Parking Tickets A group of 80 drivers in a large...
Ch. 2 - Arm spans (Example 3) According to the ancient...Ch. 2 - Tuition The distribution of in-state annual...Ch. 2 - Pulse Rates (Example 4) From the histogram in...Ch. 2 - Fast Food Calories From the histogram shown in...Ch. 2 - BMI (Example 5) The histograms show the Body Mass...Ch. 2 - Triglycerides The histograms show triglyceride...Ch. 2 - Education (Example 6) In 2012, the General Social...Ch. 2 - Siblings The histogram shows the distribution of...Ch. 2 - Monthly Car Costs The histograms show the monthly...Ch. 2 - Car MPG The histograms show the miles per gallon...Ch. 2 - Matching Histograms Match each of the three...Ch. 2 - Matching Match each histogram given with the...Ch. 2 - Matching Match each description with the correct...Ch. 2 - Matching Match each description with the correct...Ch. 2 - Comparing Weights of Olympic Hockey and Soccer...Ch. 2 - Rents in San Francisco The data show monthly rents...Ch. 2 - Textbook Prices The table shows prices of 50...Ch. 2 - SAT scores The following table shows a random...Ch. 2 - Animal Longevity The following table in Exercise...Ch. 2 - Animal Gestation Periods The accompanying table...Ch. 2 - Tax Rate A StatCrunch survey asked people what...Ch. 2 - Pets A StatCrunch survey asked people whether they...Ch. 2 - Law School Tuition Data are shown for the cost of...Ch. 2 - Text Messages Recently, 115 users of StatCrunch...Ch. 2 - Beer, Calories Data are available on the number of...Ch. 2 - Beer, Alcohol Data are available on the percent...Ch. 2 - Changing Multiple-Choice Answers When Told Not to...Ch. 2 - Preventable Deaths According to the World Health...Ch. 2 - Ice Cream Preference (Example 8) Suppose a group...Ch. 2 - Prob. 40SECh. 2 - Gun Availability Pew Research conducted a survey...Ch. 2 - Entry-Level Education The Bureau of Labor...Ch. 2 - Obesity Among Adults (Example 9) Data on obesity...Ch. 2 - Fitness Among Adults Data on the percentage of...Ch. 2 - Internet Browsers The following table gives the...Ch. 2 - Commercial Radio The following table gives the...Ch. 2 - Garage The accompanying graph shows the...Ch. 2 - Body Image A student has gathered data on...Ch. 2 - Pie Chart of Sleep Hours The pie chart reports the...Ch. 2 - Age and Gender The following graph shows the ages...Ch. 2 - Musicians Survey: StatCrunch Graph The...Ch. 2 - Cell Phone Use Refer to the accompanying bar...Ch. 2 - Sleep The following table shows the first few...Ch. 2 - Majors The following table shows the first few...Ch. 2 - Hormone Replacement Therapy The use of the drug...Ch. 2 - E-Music The bar graph shows information reported...Ch. 2 - Hormone Replacement Therapy Again The following...Ch. 2 - Holding Your Breath A group of students held their...Ch. 2 - Global Temperatures The histograms show the...Ch. 2 - Employment after Law School Accredited law schools...Ch. 2 - Opinions on Nuclear Energy People were asked...Ch. 2 - Stem Cell Research People were asked whether they...Ch. 2 - Create a dotplot that has at least 10 observations...Ch. 2 - Create a dotplot that has at least 10 observations...Ch. 2 - Traffic Cameras College students Jeannette Mujica,...Ch. 2 - Ideal Weight Thirty-nine students (26 women and 13...Ch. 2 - MPH The graphs show the distribution of...Ch. 2 - Shoe Sizes The graph shows shoe sizes for men and...Ch. 2 - CEO Salaries Predict the shape of the distribution...Ch. 2 - Cigarettes A physician asks all of his patients to...Ch. 2 - Changing Multiple-Choice Answers When Told to Do...Ch. 2 - ER Visits for Injuries The graph shows the rates...Ch. 2 - Social Media Use The Pew Research Center documents...Ch. 2 - Social Media Use The Pew Research Center gathered...Ch. 2 - Choosing a Graph For each situation, describe the...Ch. 2 - Choosing a Graph For each situation, describe the...
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- 6. Show that, for any random variable, X, and a > 0, Lo P(x -00 P(x < xarrow_forward5. Suppose that X is an integer valued random variable, and let mЄ N. Show that 8 11118 P(narrow_forward食食假 6. Show that I(AUB) = max{1{A}, I{B}} = I{A} + I{B} - I{A} I{B}; I(AB)= min{I{A}, I{B}} = I{A} I{B}; I{A A B} = I{A} + I{B}-21{A} I{B} = (I{A} - I{B})². -arrow_forward11. Suppose that the events (An, n ≥ 1) are independent. Show that the inclusion- exclusion formula reduces to P(UAL)-1-(1-P(Ak)). k=1 k=1arrow_forward8. Show that, if {Xn, n≥ 1} are independent random variables, then sup X,, A) < ∞ for some A.arrow_forward20. Define the o-field R2. Explain its relation to the o-field R.arrow_forward11. (a) Define the (mathematical and conceptual) definition of conditional probability P(A|B).arrow_forward12. (a) Explain tail events and the tail o-field. Give an example.arrow_forwardLet A, A1, A2,... be measurable sets. Then P(A)=1- P(A); • P(Ø) = 0; P(A1 UA2) ≤ P(A1) + P(A2); A1 C A2 P(A1) P(A2); P(UA) + P(n=14) = 1. Exercise 3.1 Prove these relations. ☐arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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