Basic Business Statistics
14th Edition
ISBN: 9780134684840
Author: BERENSON, Mark L., Levine, David M., Szabat, Kathryn A.
Publisher: Pearson,
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Chapter 3, Problem 59PS
What is meant by the property of shape?
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Students have asked these similar questions
One hundred students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey.
Preference
Male
Female
TOTAL
Prefers dogs
\[36\]
\[20\]
\[56\]
Prefers cats
\[10\]
\[26\]
\[36\]
No preference
\[2\]
\[6\]
\[8\]
TOTAL
\[48\]
\[52\]
\[100\]
problem 1
Find the probability that a randomly selected student prefers dogs.Enter your answer as a fraction or decimal.
\[P\left(\text{prefers dogs}\right)=\]
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Hide explanation
Preference
Male
Female
TOTAL
Prefers dogs
\[\blueD{36}\]
\[\blueD{20}\]
\[\blueE{56}\]
Prefers cats
\[10\]
\[26\]
\[36\]
No preference
\[2\]
\[6\]
\[8\]
TOTAL
\[48\]
\[52\]
\[100\]
There were \[\blueE{56}\] students in the sample who preferred dogs out of \[100\] total students.
Business discuss
You have been hired as an intern to run analyses on the data and report the results back to Sarah; the five questions that Sarah needs you to address are given below.
Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship.
Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship.
Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. (In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size).
Include the manufacturer dummy variable (Samsung=1, 0 otherwise) and estimate the relationship between screen size, price and manufacturer dummy as a multiple linear regression model.
Interpret the…
Chapter 3 Solutions
Basic Business Statistics
Ch. 3 - The following set of data is from sample of n=5:...Ch. 3 - The following set of data is from sample of n=6:...Ch. 3 - The following set of data is from sample of n=7:...Ch. 3 - The following set of data is from sample of n=5:...Ch. 3 - Suppose that the rate of return for a particular...Ch. 3 - Suppose that the rate of return for a particular...Ch. 3 - Wired a magazine that delivers a glimpse into the...Ch. 3 - The operation manager of a plant that manufactures...Ch. 3 - Accounting to the U.S Census Bureau (census....Ch. 3 - The files Mobile Speed contain the overall...
Ch. 3 - The file Airport Rating contains the rating of...Ch. 3 - The annual NFL Super Bowl is the most widely...Ch. 3 - The AccountingPartners contains the number of...Ch. 3 - The file MobileCommerce contain the following...Ch. 3 - Prob. 15PSCh. 3 - Prob. 16PSCh. 3 - A bank branch located in a commercial district of...Ch. 3 - Suppose that another bank branch, location in a...Ch. 3 - Prob. 19PSCh. 3 - Prob. 20PSCh. 3 - The file Indices contains the total rate of return...Ch. 3 - In 2013 through 2016, the value of precious metals...Ch. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 24PSCh. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 26PSCh. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - Prob. 31PSCh. 3 - The file MobileCommerce contains the following...Ch. 3 - Prob. 33PSCh. 3 - Prob. 34PSCh. 3 - The file CD Rate contains the yields for one-year...Ch. 3 - A bark branch located in a commercial district of...Ch. 3 - The following is a set of data for a population...Ch. 3 - The following is a set of data for a population...Ch. 3 - The file McDonaldsStores contains the number of...Ch. 3 - Consider a population of 1.024 mutual funds that...Ch. 3 - Prob. 41PSCh. 3 - Prob. 42PSCh. 3 - Thirty companies comprise the DJIA Just how big...Ch. 3 - The following is a set of data from sample of n=11...Ch. 3 - A study of 267 college students investigated the...Ch. 3 - The file Cereals lists the calories and sugar. in...Ch. 3 - Movie companies need to predict the gross receipts...Ch. 3 - The fie Mobile Speed contains the overall download...Ch. 3 - A Pew Research Center survey found a noticeable...Ch. 3 - What are the properties of a set of numerical...Ch. 3 - What is meant by the property of central tendency?Ch. 3 - What are the differences among the mean, median,...Ch. 3 - How do you interpret the first quartile, median,...Ch. 3 - What is meant by the property of variation?Ch. 3 - What does the Z score measure?Ch. 3 - What are the differences among the various...Ch. 3 - How does the empirical rule help explain the ways...Ch. 3 - How do the empirical rule and the Chebyshev rule...Ch. 3 - What is meant by the property of shape?Ch. 3 - What is the difference between skewness and...Ch. 3 - What is the difference between the arithmetic mean...Ch. 3 - How do the covariance and the coefficient of...Ch. 3 - The American Society for Quality (ASQ) conducted a...Ch. 3 - Prob. 64PSCh. 3 - One of the 111801 measures of the quality of...Ch. 3 - Call centers today play an important role in...Ch. 3 - The financial services call center also monitors...Ch. 3 - Prob. 68PSCh. 3 - A quality characteristic of interest for a...Ch. 3 - The manufacturer of Boston and Vermont asphalt...Ch. 3 - Prob. 71PSCh. 3 - The file Protein contains calories. protein. and...Ch. 3 - What was the mean price of a room at two-star,...Ch. 3 - The file Property Taxes contains the property...Ch. 3 - Have you wondered how Internet connection speed...Ch. 3 - Prob. 76PSCh. 3 - Prob. 77PSCh. 3 - Prob. 78PSCh. 3 - You are planning to study for your statistics...Ch. 3 - The file DomesticBeer contains the percentage...
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- Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship. How to take snapshots: if you use a MacBook, press Command+ Shift+4 to take snapshots. If you are using Windows, use the Snipping Tool to take snapshots. Question 1: Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship. Value of correlation coefficient: Direction of the relationship (positive, negative, or zero relationship): Strength of the relationship (strong/moderate/weak): Question 2: Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size. (The answer for the…arrow_forwardIn this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)arrow_forwardProblem 4. Margrabe formula and the Greeks (20 pts) In the homework, we determined the Margrabe formula for the price of an option allowing you to swap an x-stock for a y-stock at time T. For stocks with initial values xo, yo, common volatility σ and correlation p, the formula was given by Fo=yo (d+)-x0Þ(d_), where In (±² Ꭲ d+ õ√T and σ = σ√√√2(1 - p). дго (a) We want to determine a "Greek" for ỡ on the option: find a formula for θα (b) Is дго θα positive or negative? (c) We consider a situation in which the correlation p between the two stocks increases: what can you say about the price Fo? (d) Assume that yo< xo and p = 1. What is the price of the option?arrow_forward
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