Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Textbook Question
Chapter 8, Problem 1CSD
BANK ROBBERIES: A STATISTICAL ANALYSIS
At the beginning of this chapter, on page 332, we presented summary statistics for data on bank robberies for five variables: amount stolen, number of bank staff present, number of customers present, number of bank raiders, and travel time from the bank to the nearest police station. These summary statistics were obtained by three researchers for data from a sample of 364 bank raids over a several-year period in the United Kingdom. For all bank raids in the United Kingdom during the years in question:
- a. Identify and interpret a point estimate for the mean of each of the five aforementioned variables.
- b. Find and interpret a 95% confidence interval for the mean amount stolen.
- c. Find and interpret a 95% confidence interval for the mean number of bank staff present at the time of robberies.
- d. Determine and interpret a 95% confidence interval for the mean number of customers present at the time of robberies.
- e. Determine and interpret a 95% confidence interval for the mean number of bank raiders.
- f. Obtain and interpret a 95% confidence interval for the mean travel time from the nearest police station to the bank outlet.
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Pam, Rob and Sam get a cake that is one-third chocolate, one-third vanilla, and one-third strawberry as shown below. They wish to fairly divide the cake using the lone chooser method. Pam likes strawberry twice as much as chocolate or vanilla. Rob only likes chocolate. Sam, the chooser, likes vanilla and strawberry twice as much as chocolate. In the first division, Pam cuts the strawberry piece off and lets Rob choose his favorite piece. Based on that, Rob chooses the chocolate and vanilla parts. Note: All cuts made to the cake shown below are vertical.Which is a second division that Rob would make of his share of the cake?
Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).
If the choosers' declarations are Chooser 1: {s1 , s2} and Chooser 2: {s2 , s3}.
Using the lone-divider method, how many different fair divisions of this cake are possible?
Theorem 2.6 (The Minkowski inequality)
Let p≥1. Suppose that X and Y are random variables, such that E|X|P <∞ and
E|Y P <00. Then
X+YpX+Yp
Chapter 8 Solutions
Introductory Statistics (10th Edition)
Ch. 8.1 - The value of a statistic used to estimate a...Ch. 8.1 - What is a confidence-interval estimate of a...Ch. 8.1 - Prob. 3ECh. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Suppose that you lake 500 simple random samples...Ch. 8.1 - Prob. 7ECh. 8.1 - A simple random sample is taken from a population...Ch. 8.1 - Refer to Exercise 8.7 and find a point estimate...Ch. 8.1 - Prob. 10E
Ch. 8.1 - In each of Exercises 8.118.16, we provide a sample...Ch. 8.1 - Prob. 12ECh. 8.1 - In each of Exercises 8.118.16, we provide a sample...Ch. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Wedding Costs. According to Brides Magazine,...Ch. 8.1 - Cottonmouth Litter Size. In the article The...Ch. 8.1 - Wedding Costs. Refer to Exercise 8.17. Assume that...Ch. 8.1 - Cottonmouth Litter Size. Refer to Exercise 8.18....Ch. 8.1 - Fuel Tank Capacity. Consumer Reports provides...Ch. 8.1 - Home Improvements. The American Express Retail...Ch. 8.1 - Giant Tarantulas. A tarantula has two body parts....Ch. 8.1 - Serum Cholesterol Levels. In formation on serum...Ch. 8.1 - Prob. 25ECh. 8.1 - New Mobile Homes. Refer to Examples 8.1 and 8.2....Ch. 8.2 - Find the confidence level and for a. a 90%...Ch. 8.2 - Find the confidence level and for a. an 85%...Ch. 8.2 - What is meant by saying that a 1 confidence...Ch. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Refer to Procedure 8.1. a. Explain in detail the...Ch. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - In each of Exercises 8.348.39, assume that the...Ch. 8.2 - In each of Exercises 8.348.39, assume that the...Ch. 8.2 - In each of Exercises 8.348.39, assume that the...Ch. 8.2 - In each of Exercises 8.348.39, assume that the...Ch. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Suppose that you will be taking a random sample...Ch. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - In each of Exercises 8.458.48, explain the effect...Ch. 8.2 - Prob. 46ECh. 8.2 - In each of Exercises 8.458.48, explain the effect...Ch. 8.2 - In each of Exercises 8.458.48, explain the effect...Ch. 8.2 - Prob. 49ECh. 8.2 - A confidence interval for a population mean has a...Ch. 8.2 - A confidence interval for a population mean has...Ch. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - Prob. 55ECh. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - Prob. 57ECh. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - In each of Exercises 8.538.60, answer true or...Ch. 8.2 - Formula 8.2 on page 344 provides a method for...Ch. 8.2 - Prob. 62ECh. 8.2 - Prob. 63ECh. 8.2 - In each of Exercises 8.638.68, we provide a sample...Ch. 8.2 - Prob. 65ECh. 8.2 - In each of Exercises 8.638.68, we provide a sample...Ch. 8.2 - In each of Exercises 8.638.68, we provide a sample...Ch. 8.2 - In each of Exercises 8.638.68, we provide a sample...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Preliminary data analyses indicate that you can...Ch. 8.2 - Prob. 75ECh. 8.2 - Prob. 76ECh. 8.2 - Medical Marijuana. An issue with legalization of...Ch. 8.2 - Prob. 78ECh. 8.2 - Medical Marijuana. Refer to Exercise 8.77. a....Ch. 8.2 - American Alligators. Refer to Exercise 8.78. a....Ch. 8.2 - Medical Marijuana. Refer to Exercise 8.77. a. The...Ch. 8.2 - Prob. 82ECh. 8.2 - Prob. 83ECh. 8.2 - Prob. 84ECh. 8.2 - Pulmonary Hypertension. In the paper Persistent...Ch. 8.2 - Fuel Expenditures. In estimating the mean monthly...Ch. 8.2 - Prob. 87ECh. 8.2 - Prob. 88ECh. 8.2 - Political Prisoners. In Exercise 8.73, you found a...Ch. 8.2 - Keep on Rolling. In Exercise 8.74, you found a 99%...Ch. 8.2 - Prob. 91ECh. 8.2 - Prob. 92ECh. 8.2 - Doing Time. The U.S. Department of Justice, Office...Ch. 8.2 - Doing Time. The U.S. Department of Justice, Office...Ch. 8.2 - Prob. 95ECh. 8.2 - Prob. 96ECh. 8.2 - Prob. 97ECh. 8.2 - Corporate Farms. The U.S. Census Bureau estimates...Ch. 8.2 - Body Temperature. A study by researchers at the...Ch. 8.2 - Prob. 100ECh. 8.2 - Clocking the Cheetah. The cheetah (Acinonyx...Ch. 8.2 - Prob. 103ECh. 8.2 - Prob. 104ECh. 8.2 - Prob. 105ECh. 8.2 - Prob. 106ECh. 8.2 - Toxic Mushrooms? Refer to Exercise 8.71. a....Ch. 8.3 - Why do you need to consider the studentized...Ch. 8.3 - Prob. 109ECh. 8.3 - Prob. 110ECh. 8.3 - Prob. 111ECh. 8.3 - Batting Averages. An issue of Scientific American...Ch. 8.3 - Prob. 113ECh. 8.3 - Two t-curves have degrees of freedom 12 and 20,...Ch. 8.3 - For a t-curve with df = 6, use Table IV to find...Ch. 8.3 - For a t-curve with df = 17, use Table IV to find...Ch. 8.3 - Prob. 117ECh. 8.3 - Prob. 118ECh. 8.3 - Fuel Tank Capacity. Consumer Reports provides...Ch. 8.3 - Prob. 120ECh. 8.3 - Prob. 121ECh. 8.3 - Prob. 122ECh. 8.3 - In each of Exercises 8.1238.128, we provide a...Ch. 8.3 - In each of Exercises 8.1238.128, we provide a...Ch. 8.3 - In each of Exercises 8.1238.128, we provide a...Ch. 8.3 - Prob. 126ECh. 8.3 - Prob. 127ECh. 8.3 - In each of Exercises 8.1238.128, we provide a...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - Sleep. In 1908, W. S. Gosset published the article...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - Preliminary data analyses indicate that you can...Ch. 8.3 - In each of Exercises 8.135-8.138, use the...Ch. 8.3 - Prob. 136ECh. 8.3 - In each of Exercises 8.1358.138, use the...Ch. 8.3 - Prob. 138ECh. 8.3 - The Coruros Burrow. The subterranean coruro...Ch. 8.3 - Forearm Length. In 1903. K Pearson and A. Lee...Ch. 8.3 - Blood Cholesterol and Heart Disease. Numerous...Ch. 8.3 - Bicycle Commuting Times. A city planner working on...Ch. 8.3 - Prob. 143ECh. 8.3 - Prob. 144ECh. 8.3 - Prob. 146ECh. 8.3 - Another type of confidence interval is called a...Ch. 8.3 - Another type of confidence interval is called a...Ch. 8.3 - Prob. 149ECh. 8.3 - Christmas Spending. In a national poll of 1039...Ch. 8 - Explain the difference between a point estimate of...Ch. 8 - Answer true or false to the following statement,...Ch. 8 - Must the variable under consideration be normally...Ch. 8 - Prob. 4RPCh. 8 - Prob. 5RPCh. 8 - Suppose that you intend to find a 95% confidence...Ch. 8 - A confidence interval for a population mean has a...Ch. 8 - Suppose that you plan to apply the one-mean...Ch. 8 - A variable of a population has a mean of 266 and a...Ch. 8 - Baby Weight. The paper Are Babies Normal? by T....Ch. 8 - The following figure shows the standard normal...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - In each of Problems 1217, we have provided a...Ch. 8 - For a t-curve with df = 18, obtain the t-value and...Ch. 8 - Millionaires. Dr. Thomas Stanley of Georgia Slate...Ch. 8 - Millionaires. From Problem 19, we know that a 95%...Ch. 8 - Prison Sentences. Researchers M. Dhami et al....Ch. 8 - Prison Sentences. Refer to Problem 21. a. Find the...Ch. 8 - Children of Diabetic Mothers. The paper...Ch. 8 - Diamond Pricing. In a Singapore edition of...Ch. 8 - Wildfires. Wildfires are uncontrolled fires that...Ch. 8 - Fuel Economy. The U.S. Department of Energy...Ch. 8 - Prob. 28RPCh. 8 - UWEC UNDERGRADUATES Recall from Chapter 1 (see...Ch. 8 - BANK ROBBERIES: A STATISTICAL ANALYSIS At the...
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