Elementary Statistics 7th.ed. Instructor's Review Copy
7th Edition
ISBN: 9780134683584
Author: Larson
Publisher: PEARSON
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Textbook Question
Chapter 1.2, Problem 32E
Classifying Data by Type and Level In Exercises 27–32, determine whether the data are qualitative or quantitative, and determine the level of measurement of the data set.
32. Numbers of Performances The numbers of performances for the 10 longest-rurning Broadway shows at the end of the 2016 season are listed. (Source: The Broadway League)
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Problem 3. Pricing a multi-stock option the Margrabe formula
The purpose of this problem is to price a swap option in a 2-stock model, similarly as
what we did in the example in the lectures. We consider a two-dimensional Brownian
motion given by W₁ = (W(¹), W(2)) on a probability space (Q, F,P). Two stock prices
are modeled by the following equations:
dX
=
dY₁ =
X₁ (rdt+
rdt+0₁dW!)
(²)),
Y₁ (rdt+dW+0zdW!"),
with Xo
xo and Yo =yo. This corresponds to the multi-stock model studied in class,
but with notation (X+, Y₁) instead of (S(1), S(2)). Given the model above, the measure
P is already the risk-neutral measure (Both stocks have rate of return r). We write
σ = 0₁+0%. We consider a swap option, which gives you the right, at time T, to
exchange one share of X for one share of Y. That is, the option has payoff
F=(Yr-XT).
(a) We first assume that r = 0 (for questions (a)-(f)). Write an explicit expression for
the process Xt.
Reminder before proceeding to question (b): Girsanov's theorem…
Problem 1. Multi-stock model
We consider a 2-stock model similar to the one studied in class. Namely, we consider
=
S(1)
S(2)
=
S(¹) exp (σ1B(1) + (M1 - 0/1 )
S(²) exp (02B(2) + (H₂-
M2
where (B(¹) ) +20 and (B(2) ) +≥o are two Brownian motions, with
t≥0
Cov (B(¹), B(2)) = p min{t, s}.
"
The purpose of this problem is to prove that there indeed exists a 2-dimensional Brownian
motion (W+)+20 (W(1), W(2))+20 such that
=
S(1)
S(2)
=
=
S(¹) exp (011W(¹) + (μ₁ - 01/1) t)
롱)
S(²) exp (021W (1) + 022W(2) + (112 - 03/01/12) t).
where σ11, 21, 22 are constants to be determined (as functions of σ1, σ2, p).
Hint: The constants will follow the formulas developed in the lectures.
(a) To show existence of (Ŵ+), first write the expression for both W. (¹) and W (2)
functions of (B(1), B(²)).
as
(b) Using the formulas obtained in (a), show that the process (WA) is actually a 2-
dimensional standard Brownian motion (i.e. show that each component is normal,
with mean 0, variance t, and that their…
The scores of 8 students on the midterm exam and final exam were as follows.
Student
Midterm
Final
Anderson
98
89
Bailey
88
74
Cruz
87
97
DeSana
85
79
Erickson
85
94
Francis
83
71
Gray
74
98
Harris
70
91
Find the value of the (Spearman's) rank correlation coefficient test statistic that would be used to test the claim of no correlation between midterm score and final exam score. Round your answer to 3 places after the decimal point, if necessary.
Test statistic: rs =
Chapter 1 Solutions
Elementary Statistics 7th.ed. Instructor's Review Copy
Ch. 1.1 - In a survey of 1501 ninth to twelfth graders in...Ch. 1.1 - Determine whether each number describes a...Ch. 1.1 - A study of 1000 U.S. adults found that when they...Ch. 1.1 - How is a sample related to a population?Ch. 1.1 - Why is a sample used more often than a population?Ch. 1.1 - What is the difference between a parameter and a...Ch. 1.1 - What are the two main branches of statistics?Ch. 1.1 - True or False? In Exercises 510, determine whether...Ch. 1.1 - True or False? In Exercises 510, determine whether...Ch. 1.1 - True or False? In Exercises 510, determine whether...
Ch. 1.1 - True or False? In Exercises 510, determine whether...Ch. 1.1 - True or False? In Exercises 510, determine whether...Ch. 1.1 - True or False? In Exercises 510, determine whether...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Classifying a Data Set In Exercises 1120,...Ch. 1.1 - Graphical Analysis In Exercises 2124, use the Venn...Ch. 1.1 - Graphical Analysis In Exercises 2124, use the Venn...Ch. 1.1 - Graphical Analysis In Exercises 2124, use the Venn...Ch. 1.1 - Graphical Analysis In Exercises 2124, use the Venn...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Identifying Data Sets In Exercises 2534, identify...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Distinguishing Between a Parameter and a Statistic...Ch. 1.1 - Descriptive and Inferential Statistics Which part...Ch. 1.1 - Descriptive and Inferential Statistics Which part...Ch. 1.1 - Exercise and Cognitive Ability A study of 876...Ch. 1.1 - Increase in Obesity Rates A study shows that the...Ch. 1.1 - Sleep and Student Achievement A study shows the...Ch. 1.2 - The populations of several U.S. cities are shown...Ch. 1.2 - For each data set. determine whether the data are...Ch. 1.2 - For each data set, determine whether the data are...Ch. 1.2 - Name each level of measurement for which data can...Ch. 1.2 - Name each level of measurement for which data can...Ch. 1.2 - True or False? In Exercises 36, determine whether...Ch. 1.2 - True or False? In Exercises 36, determine whether...Ch. 1.2 - True or False? In Exercises 36, determine whether...Ch. 1.2 - True or False? In Exercises 36, determine whether...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data by Type In Exercises 714,...Ch. 1.2 - Classifying Data By Level In Exercises 1520,...Ch. 1.2 - Classifying Data By Level In Exercises 1520,...Ch. 1.2 - Classifying Data By Level In Exercises 1520,...Ch. 1.2 - Classifying Data By Level In Exercises 1520,...Ch. 1.2 - Classifying Data By Level In Exercises 1520,...Ch. 1.2 - Classifying Data By Level In Exercises 1520,...Ch. 1.2 - Graphical Analysis In Exercises 2124, determine...Ch. 1.2 - Graphical Analysis In Exercises 2124, determine...Ch. 1.2 - Graphical Analysis In Exercises 2124, determine...Ch. 1.2 - Graphical Analysis In Exercises 2124, determine...Ch. 1.2 - The items below appear on a physician's intake...Ch. 1.2 - Graphical Analysis In Exercises 2124, determine...Ch. 1.2 - Classifying Data by Type and Level In Exercises...Ch. 1.2 - Classifying Data by Type and Level In Exercises...Ch. 1.2 - Classifying Data by Type and Level In Exercises...Ch. 1.2 - Classifying Data by Type and Level In Exercises...Ch. 1.2 - Classifying Data by Type and Level In Exercises...Ch. 1.2 - Classifying Data by Type and Level In Exercises...Ch. 1.2 - Extending Concepts 33. Writing What is an inherent...Ch. 1.2 - Describe two examples of data sets for each of the...Ch. 1.2 - For more than 50 years. The Harris Poll has...Ch. 1.2 - Reputations of 10 Companies in the U.S. (Source:...Ch. 1.2 - Reputations of 10 Companies in the U.S. (Source:...Ch. 1.2 - Reputations of 10 Companies in the U.S. (Source:...Ch. 1.2 - Reputations of 10 Companies in the U.S. (Source:...Ch. 1.2 - For more than 50 years. The Harris Poll has...Ch. 1.3 - The Pennsylvania Game Commission conducted a study...Ch. 1.3 - Prob. 2TYCh. 1.3 - A company employs 79 people. Choose a simple...Ch. 1.3 - You want to determine the opinions of students...Ch. 1.3 - What is the difference between an observational...Ch. 1.3 - What is the difference between a census and a...Ch. 1.3 - What is the difference between a random sample and...Ch. 1.3 - What is replication in an experiment? Why is...Ch. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - True or False? In Exercises 510, determine whether...Ch. 1.3 - Distinguishing Between an Observational Study and...Ch. 1.3 - Distinguishing Between an Observational Study and...Ch. 1.3 - Distinguishing Between an Observational Study and...Ch. 1.3 - Distinguishing Between an Observational Study and...Ch. 1.3 - Random Number Table Use the sixth row of Table 1...Ch. 1.3 - Random Number Table Use the tenth row of Table 1...Ch. 1.3 - Random Numbers In Exercises 17 and 18, use...Ch. 1.3 - Random Numbers In Exercises 17 and 18, use...Ch. 1.3 - Allergy Drug A pharmaceutical company wants to...Ch. 1.3 - Dietary Supplement Researchers in Germany tested...Ch. 1.3 - Sleep Deprivation A researcher wants to study the...Ch. 1.3 - Using a Simple Random Sample Volunteers for an...Ch. 1.3 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1.3 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1.3 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1.3 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1.3 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1.3 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1.3 - Choosing Between a Census and a Sampling In...Ch. 1.3 - Choosing Between a Census and a Sampling In...Ch. 1.3 - Recognizing a Biased Question In Exercises 3134,...Ch. 1.3 - Recognizing a Biased Question In Exercises 3134,...Ch. 1.3 - Recognizing a Biased Question In Exercises 3134,...Ch. 1.3 - Recognizing a Biased Question In Exercises 3134,...Ch. 1.3 - Open and Closed Questions Two types of survey...Ch. 1.3 - Natural Experiments Observational studies are...Ch. 1.3 - Prob. 1ACh. 1.3 - In Exercises 14, identify the population and the...Ch. 1 - In Exercises 14, identify the population and the...Ch. 1 - In Exercises 14, identify the population and the...Ch. 1 - In Exercises 58, determine whether the number...Ch. 1 - In Exercises 58, determine whether the number...Ch. 1 - In Exercises 58, determine whether the number...Ch. 1 - In Exercises 58, determine whether the number...Ch. 1 - Which part of the survey described in Exercise 3...Ch. 1 - Which part of the survey described in Exercise 4...Ch. 1 - In Exercises 1114, determine whether the data are...Ch. 1 - In Exercises 1114, determine whether the data are...Ch. 1 - In Exercises 1114, determine whether the data are...Ch. 1 - In Exercises 1114, determine whether the data are...Ch. 1 - In Exercises 1518, determine the level of...Ch. 1 - In Exercises 1518, determine the level of...Ch. 1 - In Exercises 1518, determine the level of...Ch. 1 - In Exercises 1518, determine the level of...Ch. 1 - In Exercises 19 and 20, determine whether the...Ch. 1 - In Exercises 19 and 20, determine whether the...Ch. 1 - In Exercises 21 and 22, two hundred students...Ch. 1 - In Exercises 21 and 22, two hundred students...Ch. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - Identifying Sampling Techniques In Exercises 2328,...Ch. 1 - You want to know the favorite spring break...Ch. 1 - A study of the dietary habits of 359,264 Korean...Ch. 1 - Determine whether each number describes a...Ch. 1 - Determine whether the data are qualitative or...Ch. 1 - Determine the level of measurement of the data...Ch. 1 - Determine whether the study is an observational...Ch. 1 - An experiment is performed to test the effects of...Ch. 1 - Identify the sampling technique used in each...Ch. 1 - Which technique used in Exercise 7 could lead to a...Ch. 1 - Determine whether you would take a census or use a...Ch. 1 - Determine whether each number describes a...Ch. 1 - Specify the minimum, maximum, and number of...Ch. 1 - Use the applet to repeat Example 3 on page 21....Ch. 1 - Identify the sampling technique used, and discuss...Ch. 1 - Determine whether the data are qualitative or...Ch. 1 - Determine whether the survey question is biased....Ch. 1 - Researchers surveyed 19,183 U.S. physicians,...Ch. 1 - When do you think smartphone payments will replace...Ch. 1 - Data Classification (a) What type of data do you...Ch. 1 - How They Did It When The Harris Poll did a similar...Ch. 1 - The SEC (Securities and Exchange Commission) is...Ch. 1 - A quality control department is testing 25...Ch. 1 - Consider the population of ten digits: 0, 1, 2, 3,...Ch. 1 - Consider the population of 41 whole numbers from 0...Ch. 1 - Use random numbers to simulate rolling a six-sided...Ch. 1 - Prob. 6TCh. 1 - Use random numbers to simulate tossing a coin 100...Ch. 1 - You tossed a coin 100 times and got 77 heads and...Ch. 1 - A political analyst would like to survey a sample...
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