Statistics: The Art and Science of Learning from Data (4th Edition)
4th Edition
ISBN: 9780321997838
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Textbook Question
Chapter 7.2, Problem 22PB
Dropped from plan previous exercise mentions that the duration of your phone calls follows a distribution with
- a. Sketch the population distribution for the duration of your phone calls. What are its mean and standard deviation?
- b. What are the mean and standard deviation of the data distribution?
- c. Find the mean and standard deviation of the sampling distribution of the sample mean.
- d. Is the sample mean of 3.4 minutes unusually high? Find its z-score and comment.
- e. Your parents told you that they will kick you off the plan when they find a sample mean larger than 3.5 minutes. How likely is this to happen?
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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…
Negate the following compound statement using De Morgans's laws.
Chapter 7 Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Ch. 7.1 - Simulating the exit poll Simulate an exit poll of...Ch. 7.1 - Simulate condo solicitations A company that is...Ch. 7.1 - Condo sample distribution Consider the sampling...Ch. 7.1 - iPhone apps Let p = 0.25 be the proportion of...Ch. 7.1 - Other scenario for exit poll Refer to Examples 1...Ch. 7.1 - Prob. 6PBCh. 7.1 - Random variability in baseball A baseball player...Ch. 7.1 - Relative frequency of heads Construct the sampling...Ch. 7.1 - Prob. 9PBCh. 7.1 - Effect of n on sample proportion The figure...
Ch. 7.1 - Syracuse full-time students Youd like to estimate...Ch. 7.1 - Gender distributions At a university, 60% of the...Ch. 7.1 - Prob. 13PBCh. 7.1 - Prob. 14PBCh. 7.2 - Simulate taking midterms Assume that the...Ch. 7.2 - Education of the self-employed According to a...Ch. 7.2 - Rolling one die Let X denote the outcome of...Ch. 7.2 - Playing roulette A roulette wheel in Las Vegas has...Ch. 7.2 - Simulate rolling dice Access the Sampling...Ch. 7.2 - Prob. 20PBCh. 7.2 - Shared family phone plan A recent personalized...Ch. 7.2 - Dropped from plan previous exercise mentions that...Ch. 7.2 - Restaurant profit? Jans All You Can Eat Restaurant...Ch. 7.2 - Survey accuracy A study investigating the...Ch. 7.2 - Blood pressure Vincenzo Baranello was diagnosed...Ch. 7.2 - Household size According to the 2010 U.S. census...Ch. 7.2 - Average monthly sales A large corporation employs...Ch. 7.2 - Prob. 28PBCh. 7.2 - CLT for skewed population Access the Sampling...Ch. 7.2 - Prob. 30PBCh. 7 - Practicing the Basics Exam performance An exam...Ch. 7 - Blue eyes According to a Boston Globe story, only...Ch. 7 - Prob. 33CPCh. 7 - Prob. 34CPCh. 7 - Prob. 35CPCh. 7 - Returning shipment Refer to the previous exercise,...Ch. 7 - Prob. 37CPCh. 7 - Home runs Based on data from the 2010 Major League...Ch. 7 - Physicians assistants The 2006 AAPA survey of the...Ch. 7 - Bank machine withdrawals An executive in an...Ch. 7 - PDI The scores on the Psychomotor Development...Ch. 7 - Number of sex partners According to recent General...Ch. 7 - Prob. 43CPCh. 7 - Too little or too much cola? Refer to the previous...Ch. 7 - Prob. 45CPCh. 7 - Prob. 46CPCh. 7 - Prob. 47CPCh. 7 - Purpose of sampling distribution Youd like to...Ch. 7 - Prob. 49CPCh. 7 - Prob. 50CPCh. 7 - Prob. 51CPCh. 7 - Prob. 52CPCh. 7 - Prob. 53CPCh. 7 - Winning at roulette Part b of Example 7 used the...Ch. 7 - True or false As the sample size increases, the...Ch. 7 - Prob. 56CPCh. 7 - Prob. 57CPCh. 7 - Prob. 58CPCh. 7 - Prob. 59CPCh. 7 - Prob. 60CPCh. 7 - Prob. 61CPCh. 7 - Prob. 62CPCh. 7 - Prob. 63CP
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