Elementary Statistics: A Step By Step Approach
10th Edition
ISBN: 9781259755330
Author: Allan G. Bluman
Publisher: McGraw-Hill Education
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Chapter 7, Problem 19CQ
To determine
To find: The
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1 for all k, and set o
(ii) Let X1, X2,
that P(Xkb) =
x > 0.
Xn be independent random variables with mean 0, suppose
=
and
Var Xk. Then, for
0x) ≤2 exp-tx+121
Στ
k=1
Lemma 1.1 Suppose that g is a non-negative, non-decreasing function such that
E g(X) 0. Then,
E g(|X|)
P(|X|> x) ≤
g(x)
Proof of this Theorem
Theorem 1.2 (i) Suppose that P(|X| ≤ b) = 1 for some b > 0, that E X = 0, and
set Var X = o². Then, for 0 0,
P(X > x) ≤ e−1x+1²²,
P(|X|> x) ≤ 2e−x+1² 0²
Chapter 7 Solutions
Elementary Statistics: A Step By Step Approach
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Ch. 7.1 - Overweight Men For a random sample of 60...Ch. 7.1 - Number of Jobs A sociologist found that in a...Ch. 7.1 - Number of Faculty The numbers of faculty at 32...Ch. 7.1 - Freshmen GPAs First-semester GPAs for a random...Ch. 7.1 - Carbohydrate Grams in Commercial Subs The number...Ch. 7.1 - Number of Farms A random sample of the number of...Ch. 7.1 - Gasoline Use A random sample of 36 drivers used on...Ch. 7.1 - Day Care Tuition A random sample of 50...Ch. 7.1 - Hospital Noise Levels Noise levels at various area...Ch. 7.1 - Length of Growing Seasons The growing seasons for...Ch. 7.1 - Christmas Presents How large a sample is needed to...Ch. 7.1 - Hospital Noise Levels In the hospital study cited...Ch. 7.1 - Internet Viewing A researcher wishes to estimate...Ch. 7.1 - Cost of Pizzas A pizza shop owner wishes to find...Ch. 7.1 - Water Temperature If the variance of the water...Ch. 7.1 - Undergraduate GPAs It is desired to estimate the...Ch. 7.2 - Sport Drink Decision Assume you get a new job as a...Ch. 7.2 - What are the properties of the t distribution?Ch. 7.2 - What is meant by degrees of freedom?Ch. 7.2 - Find the values for each. a. t/2 and n = 18 for...Ch. 7.2 - When should the t distribution be used to find a...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - For Exercises 5 through 20, assume that all...Ch. 7.2 - Parking Meter Revenue A one-sided confidence...Ch. 7.3 - Contracting Influenza To answer the questions, use...Ch. 7.3 - In each case, find p and q. a. n = 80 and X = 40...Ch. 7.3 - Find p and q for each situation. a. n = 60 and X =...Ch. 7.3 - Cyber Monday Shopping A survey of 1000 U.S. adults...Ch. 7.3 - Manual Transmission Automobiles In 2014, six...Ch. 7.3 - Holiday Gifts A survey of 100 Americans found that...Ch. 7.3 - Belief in Haunted Places A random sample of 205...Ch. 7.3 - Work Interruptions Research by Steelcase found the...Ch. 7.3 - Travel to Outer Space A CBS News/New York Times...Ch. 7.3 - High School Graduates Who Take the SAT The...Ch. 7.3 - Educational Television In a random sample of 200...Ch. 7.3 - Wi-Fi Access A survey of 50 students in grades 4...Ch. 7.3 - Students Who Major in Business It has been...Ch. 7.3 - Smartphone Ownership A recent survey of 349 people...Ch. 7.3 - Home Internet Access According to a study, 96% of...Ch. 7.3 - Overseas Travel A researcher wishes to be 95%...Ch. 7.3 - Widows A recent study indicated that 29% of the...Ch. 7.3 - Direct Satellite Television It is believed that...Ch. 7.3 - Obesity Obesity is defined as a body mass index...Ch. 7.3 - U.S. Fitness Guidelines According to the World...Ch. 7.3 - Diet Habits A federal report indicated that 27% of...Ch. 7.3 - Gun Control If a random sample of 600 people is...Ch. 7.3 - Survey on Politics In a study, 68% of 1015...Ch. 7.4 - Ages of Presidents at the Time of Their Deaths...Ch. 7.4 - What distribution must be used when computing...Ch. 7.4 - What assumption must be made when computing...Ch. 7.4 - Using Table G, find the values for 2 left and 2...Ch. 7.4 - Lifetimes of Wristwatches Find the 90% confidence...Ch. 7.4 - Carbohydrates in Yogurt The number of...Ch. 7.4 - Carbon Monoxide Deaths A study of...Ch. 7.4 - Pacemaker Batteries A manufacturer of pacemakers...Ch. 7.4 - Age of College Students Find the 90% confidence...Ch. 7.4 - Prob. 9ECh. 7.4 - Stock Prices A random sample of stock prices per...Ch. 7.4 - Cost of an Operation A medical researcher surveyed...Ch. 7.4 - Home Ownership Rates The percentage rates of home...Ch. 7.4 - Calories in a Standard Size Candy Bar Estimate the...Ch. 7.4 - SAT Scores Estimate the variance in mean...Ch. 7.4 - Daily Cholesterol Intake The American Heart...Ch. 7.4 - Calculator Battery Lifetimes A confidence interval...Ch. 7 - Eye Blinks A survey of 49 individuals found that...Ch. 7 - Vacation Days A U.S. Travel Data Center survey...Ch. 7 - Blood Pressure A researcher wishes to estimate...Ch. 7 - Shopping Survey A random sample of 49 shoppers...Ch. 7 - Lengths of Childrens Animated Films The lengths...Ch. 7 - Dog Bites to Postal Workers For a certain urban...Ch. 7 - Number of Credit Cards In a recent survey of 1000...Ch. 7 - Vacation Sites A U.S. Travel Data Centers survey...Ch. 7 - Prob. 7.3.9RECh. 7 - Adult Educational Activities A local county has a...Ch. 7 - Prob. 7.3.11RECh. 7 - Child Care Programs A study found that 73% of...Ch. 7 - Baseball Diameters The standard deviation of the...Ch. 7 - Cost of an Operation A medical researcher surveyed...Ch. 7 - Lifetimes of Snowmobiles A random sample of 15...Ch. 7 - Length of Childrens Animated Films Use the data...Ch. 7 - From the Data Bank choose a variable, find the...Ch. 7 - Repeat Exercise 1, using a different variable and...Ch. 7 - Repeat Exercise 1, using a proportion. 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