Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 3.3, Problem 30E
U.S. Census data for San Luis Obispo County, California, were used to construct the following relative frequency distribution for commute time (in minutes) of working adults in 2015 (datausa.io/profile/geo/san-luis-bispo-paso-robles-ca-metro-area/#housing, retrieved February 18, 2018) and so are only approximate):
- a. Notice that not all intervals in the frequency distribution are equal in width. Why do you think that unequal width intervals were used?
- b. Construct a table that adds a density column to the given relative frequency distribution. (Hint: See Example 3.17.)
- c. Use the densities computed in Part (b) to construct a histogram for this data set. (The web site referenced earlier actually displays an incorrectly drawn histogram based on relative frequencies rather than densities!) Write a few sentences commenting on the important features of the histogram.
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We consider the one-period model studied in class as an example. Namely, we assumethat the current stock price is S0 = 10. At time T, the stock has either moved up toSt = 12 (with probability p = 0.6) or down towards St = 8 (with probability 1−p = 0.4).We consider a call option on this stock with maturity T and strike price K = 10. Theinterest rate on the money market is zero.As in class, we assume that you, as a customer, are willing to buy the call option on100 shares of stock for $120. The investor, who sold you the option, can adopt one of thefollowing strategies: Strategy 1: (seen in class) Buy 50 shares of stock and borrow $380. Strategy 2: Buy 55 shares of stock and borrow $430. Strategy 3: Buy 60 shares of stock and borrow $480. Strategy 4: Buy 40 shares of stock and borrow $280.(a) For each of strategies 2-4, describe the value of the investor’s portfolio at time 0,and at time T for each possible movement of the stock.(b) For each of strategies 2-4, does the investor have…
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Chapter 3 Solutions
Introduction To Statistics And Data Analysis
Ch. 3.1 - Each person in a nationally representative sample...Ch. 3.1 - The graphical display on the next page is similar...Ch. 3.1 - The survey referenced in the previous exercise was...Ch. 3.1 - The National Confectioners Association asked 1006...Ch. 3.1 - College student attitudes about e-books were...Ch. 3.1 - The Center for Science in the Public Interest...Ch. 3.1 - Using the data given in the previous exercise,...Ch. 3.1 - The article Housework around the World (USA TODAY,...Ch. 3.1 - The authors of the report Findings from the 2009...Ch. 3.1 - The survey on student attitude toward e-books...
Ch. 3.1 - During 2017, Gallup conducted a survey of adult...Ch. 3.1 - An article about college loans (New Rules Would...Ch. 3.1 - The report Findings From the 2014 College Senior...Ch. 3.2 - The National Center for Health Statistics provided...Ch. 3.2 - The paper State-Level Cancer Mortality...Ch. 3.2 - The accompanying data on seat belt use for each of...Ch. 3.2 - The previous exercise gave data on seat belt use...Ch. 3.2 - The U.S. Department of Health and Human Services...Ch. 3.2 - The article Economy Low, Generosity High (USA...Ch. 3.2 - The U.S. gasoline tax per gallon data for each of...Ch. 3.2 - A report from Texas Transportation Institute...Ch. 3.2 - The percentage of teens not in school or working...Ch. 3.3 - The data in the accompanying table are from the...Ch. 3.3 - The accompanying data on annual maximum wind speed...Ch. 3.3 - The accompanying relative frequency table is based...Ch. 3.3 - The data in the accompanying table represents the...Ch. 3.3 - Construct a histogram for the data in the previous...Ch. 3.3 - The following two relative frequency distributions...Ch. 3.3 - U.S. Census data for San Luis Obispo County,...Ch. 3.3 - Use the commute time data given in the previous...Ch. 3.3 - The report Trends in College Pricing 2012...Ch. 3.3 - An exam is given to students in an introductory...Ch. 3.3 - The accompanying frequency distribution summarizes...Ch. 3.3 - Example 3.19 used annual rainfall data for...Ch. 3.3 - Use the relative frequency distribution...Ch. 3.3 - Prob. 37ECh. 3.3 - Use the cumulative relative frequencies given in...Ch. 3.3 - Using the five class intervals 100 to 120, 120 to...Ch. 3.4 - The accompanying table gives data from a survey of...Ch. 3.4 - Consumer Reports Health (consumerreports.org) gave...Ch. 3.4 - Consumer Reports rated 29 fitness trackers (such...Ch. 3.4 - Consumer Reports (consumerreports.org) rated 37...Ch. 3.4 - The Solid Waste Management section of the...Ch. 3.4 - The report Daily Cigarette Use: Indicators on...Ch. 3.4 - The accompanying time series plot of movie box...Ch. 3.5 - The accompanying comparative bar chart is similar...Ch. 3.5 - The figure at the top left of the next page is...Ch. 3.5 - The figure at the top right of the next page is...Ch. 3.5 - The two graphical displays below are similar to...Ch. 3.5 - The following graphical display is similar to one...Ch. 3.5 - Explain why the following graphical display...Ch. 3 - Each year, The Princeton Review conducts surveys...Ch. 3 - Prob. 55CRCh. 3 - Prob. 56CRCh. 3 - Prob. 57CRCh. 3 - Prob. 58CRCh. 3 - Does the size of a transplanted organ matter? A...Ch. 3 - Prob. 60CRCh. 3 - The article Tobacco and Alcohol Use in G-Rated...Ch. 3 - Prob. 62CRCh. 3 - Prob. 63CRCh. 3 - Many nutritional experts have expressed concern...Ch. 3 - Americium 241 (241Am) is a radioactive material...Ch. 3 - Does eating broccoli reduce the risk of prostate...Ch. 3 - An article that appeared in USA TODAY (August 11,...Ch. 3 - Sometimes samples are composed entirely of...Ch. 3 - Prob. 4CRECh. 3 - More than half of Californias doctors say they are...Ch. 3 - Based on observing more than 400 drivers in the...Ch. 3 - An article from the Associated Press (May 14,...Ch. 3 - Prob. 8CRECh. 3 - Prob. 9CRECh. 3 - Prob. 10CRECh. 3 - The article Determination of Most Representative...Ch. 3 - The paper Lessons from Pacemaker Implantations...Ch. 3 - How does the speed of a runner vary over the...Ch. 3 - Prob. 14CRECh. 3 - One factor in the development of tennis elbow, a...Ch. 3 - An article that appeared in USA TODAY (September...
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